diff --git a/docs/DiffractionRoundHole.html b/docs/DiffractionRoundHole.html
index 2f932cf4..cf8e000a 100644
--- a/docs/DiffractionRoundHole.html
+++ b/docs/DiffractionRoundHole.html
@@ -7,7 +7,7 @@
   <title>7.2.1. Diffraction from a circular aperture. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
 
   
   <!--[if lt IE 9]>
@@ -127,7 +127,7 @@
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/GRINYoung.html b/docs/GRINYoung.html
index fa67b8b6..330f5384 100644
--- a/docs/GRINYoung.html
+++ b/docs/GRINYoung.html
@@ -7,7 +7,7 @@
   <title>7.8.2. Young’s experiment with GRIN lens. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
 
   
   <!--[if lt IE 9]>
@@ -125,7 +125,7 @@
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/HermiteGaussModes.html b/docs/HermiteGaussModes.html
index 09e424f7..4a9dabae 100644
--- a/docs/HermiteGaussModes.html
+++ b/docs/HermiteGaussModes.html
@@ -7,7 +7,7 @@
   <title>7.5.1. Hermite Gauss modes. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
 
   
   <!--[if lt IE 9]>
@@ -130,7 +130,7 @@
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/MichelsonInterferometer.html b/docs/MichelsonInterferometer.html
index 52b8b720..cebb5fe3 100644
--- a/docs/MichelsonInterferometer.html
+++ b/docs/MichelsonInterferometer.html
@@ -7,7 +7,7 @@
   <title>7.1.2. Michelson interferometer. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
 
   
   <!--[if lt IE 9]>
@@ -112,23 +112,230 @@ <h1><span class="section-number">7.1.2. </span>Michelson interferometer.<a class
 <p>In a Michelson interferometer an incoming wave is split in two by a beamsplitter. The two beams are reflected by mirrors and united at the same beamsplitter, which generally results in interference. The interference pattern observed depends on the incoming beam, whether or not the mirrors are tilted and on the difference of the distances of the mirrors to the beamsplitter.</p>
 <img alt="_images/Michelson_setup.png" src="_images/Michelson_setup.png" />
 <p>In this experiment we demonstrate a Michelson interferometer with unequal mirror distances and one of the mirrors tilted.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="ch">#! /usr/bin/env python</span>
+<span class="kn">from</span> <span class="nn">LightPipes</span> <span class="kn">import</span> <span class="o">*</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+
+<span class="n">wavelength</span><span class="o">=</span><span class="mf">632.8</span><span class="o">*</span><span class="n">nm</span> <span class="c1">#wavelength of HeNe laser</span>
+<span class="n">size</span><span class="o">=</span><span class="mi">15</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># size of the grid</span>
+<span class="n">N</span><span class="o">=</span><span class="mi">500</span> <span class="c1"># number (NxN) of grid pixels</span>
+<span class="n">R</span><span class="o">=</span><span class="mi">9</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># laser beam radius</span>
+<span class="n">z1</span><span class="o">=</span><span class="mi">8</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 1</span>
+<span class="n">z2</span><span class="o">=</span><span class="mi">7</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 2</span>
+<span class="n">z3</span><span class="o">=</span><span class="mi">3</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance laser to beamsplitter</span>
+<span class="n">z4</span><span class="o">=</span><span class="mi">5</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance beamsplitter to screen</span>
+<span class="n">Rbs</span><span class="o">=</span><span class="mf">0.5</span> <span class="c1"># reflection beam splitter</span>
+<span class="n">tx</span><span class="o">=</span><span class="mf">0.5</span><span class="o">*</span><span class="n">mrad</span><span class="p">;</span> <span class="n">ty</span><span class="o">=</span><span class="mf">0.0</span><span class="o">*</span><span class="n">mrad</span> <span class="c1"># tilt of mirror 1</span>
+
+<span class="c1">#Generate a laser beam:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Begin</span><span class="p">(</span><span class="n">size</span><span class="p">,</span><span class="n">wavelength</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">GaussBeam</span><span class="p">(</span><span class="n">F</span><span class="p">,</span> <span class="n">R</span><span class="p">)</span>
+
+<span class="c1">#Propagate to the beamsplitter:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">F</span><span class="p">,</span><span class="n">z3</span><span class="p">)</span>
+
+<span class="c1">#Split the beam and propagate to mirror #2:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">F</span><span class="p">,</span> <span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">F2</span><span class="p">,</span><span class="n">z2</span><span class="p">)</span>
+
+<span class="c1">#Introduce aberration and propagate back to the beamsplitter:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Tilt</span><span class="p">(</span><span class="n">F2</span><span class="p">,</span><span class="n">tx</span><span class="p">,</span><span class="n">ty</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">F2</span><span class="p">,</span><span class="n">z2</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">F2</span><span class="p">,</span><span class="n">Rbs</span><span class="p">)</span>
+
+<span class="c1">#Split off the second beam and propagate to- and back from the mirror #1:</span>
+<span class="n">F10</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">F</span><span class="p">,</span><span class="n">Rbs</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">F10</span><span class="p">,</span><span class="n">z1</span><span class="o">*</span><span class="mi">2</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">F1</span><span class="p">,</span><span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">)</span>
+
+<span class="c1">#Recombine the two beams and propagate to the screen:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">BeamMix</span><span class="p">(</span><span class="n">F1</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">F</span><span class="p">,</span><span class="n">z4</span><span class="p">)</span>
+<span class="n">I</span><span class="o">=</span><span class="n">Intensity</span><span class="p">(</span><span class="n">F</span><span class="p">)</span>
+
+<span class="c1">#Present the results:</span>
+<span class="n">s1</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;LightPipes for Python &#39;</span> <span class="o">+</span> <span class="n">LPversion</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;Michelson interferometer with mirror tilt in one arm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>
+<span class="n">s2</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;Michelson.py&#39;</span><span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;size = </span><span class="si">{</span><span class="n">size</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;$</span><span class="se">\\</span><span class="s1">lambda$ = </span><span class="si">{</span><span class="n">wavelength</span><span class="o">/</span><span class="n">um</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> $</span><span class="se">\\</span><span class="s1">mu$m&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;N = </span><span class="si">{</span><span class="n">N</span><span class="si">:</span><span class="s1">d</span><span class="si">}</span><span class="s1">&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;R = </span><span class="si">{</span><span class="n">R</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm beam radius of the laser&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z1 = </span><span class="si">{</span><span class="n">z1</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 1&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z2 = </span><span class="si">{</span><span class="n">z2</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z3 = </span><span class="si">{</span><span class="n">z3</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the laser to the beam splitter&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z4 = </span><span class="si">{</span><span class="n">z4</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the beam splitter to the screen&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;tx, ty = </span><span class="si">{</span><span class="n">tx</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1">, </span><span class="si">{</span><span class="n">ty</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mrad tilt of mirror 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;${\copyright}$ Fred van Goor, June 2020&#39;</span>
+
+<span class="n">fig</span><span class="o">=</span><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span><span class="mi">9</span><span class="p">));</span>
+<span class="n">ax1</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">311</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax2</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">312</span><span class="p">);</span><span class="n">ax2</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax3</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">313</span><span class="p">);</span><span class="n">ax3</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax1</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">I</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;jet&#39;</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">&#39;intensity pattern&#39;</span><span class="p">)</span>
+<span class="n">ax2</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.6</span><span class="p">,</span><span class="n">s1</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">,</span> <span class="n">fontweight</span><span class="o">=</span><span class="s1">&#39;bold&#39;</span><span class="p">)</span>
+<span class="n">ax3</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.50</span><span class="p">,</span><span class="n">s2</span><span class="p">)</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
+</pre></div>
+</div>
 <p id="index-0">(<a class="reference download internal" download="" href="_downloads/8e82c777750716932345579b66e0387e/Michelson.py"><code class="xref download docutils literal notranslate"><span class="pre">Source</span> <span class="pre">code</span></code></a>, <a class="reference download internal" download="" href="_downloads/78d27bb8d8b76fd583592635a89fd6ad/Michelson.png"><code class="xref download docutils literal notranslate"><span class="pre">png</span></code></a>, <a class="reference download internal" download="" href="_downloads/a8b2af57577934761a3fb3ddd235f7b2/Michelson.hires.png"><code class="xref download docutils literal notranslate"><span class="pre">hires.png</span></code></a>, <a class="reference download internal" download="" href="_downloads/e46430effb6072d7fdcab4d42ba81da4/Michelson.pdf"><code class="xref download docutils literal notranslate"><span class="pre">pdf</span></code></a>)</p>
 <figure class="align-default">
 <img alt="_images/Michelson.png" class="plot-directive" src="_images/Michelson.png" />
 </figure>
+<hr class="docutils" />
 <p>You can modify the source Python script by, for example, insertion of a lens in one of the arms and remove the mirror tilt. The resulting interference pattern will be a set of concentric circles.</p>
-<figure class="align-center" id="id1">
-<img alt="_images/MichelsonWithLens.png" src="_images/MichelsonWithLens.png" />
-<figcaption>
-<p><span class="caption-text"><em>Interference pattern when a f=100cm lens is inserted in one of the arms and with the mirror tilt removed.</em></span><a class="headerlink" href="#id1" title="Link to this image"></a></p>
-</figcaption>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="ch">#! /usr/bin/env python</span>
+<span class="kn">from</span> <span class="nn">LightPipes</span> <span class="kn">import</span> <span class="o">*</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+
+<span class="n">wavelength</span><span class="o">=</span><span class="mf">632.8</span><span class="o">*</span><span class="n">nm</span> <span class="c1">#wavelength of HeNe laser</span>
+<span class="n">size</span><span class="o">=</span><span class="mi">15</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># size of the grid</span>
+<span class="n">N</span><span class="o">=</span><span class="mi">500</span> <span class="c1"># number (NxN) of grid pixels</span>
+<span class="n">R</span><span class="o">=</span><span class="mi">9</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># laser beam radius</span>
+<span class="n">z1</span><span class="o">=</span><span class="mi">8</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 1</span>
+<span class="n">z2</span><span class="o">=</span><span class="mi">7</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 2</span>
+<span class="n">z3</span><span class="o">=</span><span class="mi">3</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance laser to beamsplitter</span>
+<span class="n">z4</span><span class="o">=</span><span class="mi">5</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance beamsplitter to screen</span>
+<span class="n">Rbs</span><span class="o">=</span><span class="mf">0.5</span> <span class="c1"># reflection beam splitter</span>
+<span class="n">tx</span><span class="o">=</span><span class="mf">0.0</span><span class="o">*</span><span class="n">mrad</span><span class="p">;</span> <span class="n">ty</span><span class="o">=</span><span class="mf">0.0</span><span class="o">*</span><span class="n">mrad</span> <span class="c1"># tilt of mirror 1</span>
+<span class="n">f_lens</span> <span class="o">=</span> <span class="mi">500</span><span class="o">*</span><span class="n">cm</span>
+
+<span class="c1">#Generate a laser beam:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Begin</span><span class="p">(</span><span class="n">size</span><span class="p">,</span><span class="n">wavelength</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">GaussBeam</span><span class="p">(</span><span class="n">F</span><span class="p">,</span> <span class="n">R</span><span class="p">)</span>
+
+<span class="c1">#Propagate to the beamsplitter:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z3</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+
+<span class="c1">#Split the beam and propagate to mirror #2:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z2</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+
+<span class="c1">#Introduce aberration and propagate back to the beamsplitter:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Tilt</span><span class="p">(</span><span class="n">tx</span><span class="p">,</span><span class="n">ty</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F2</span> <span class="o">=</span> <span class="n">Lens</span><span class="p">(</span><span class="n">f_lens</span><span class="p">,</span> <span class="n">F2</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z2</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+
+<span class="c1">#Split off the second beam and propagate to- and back from the mirror #1:</span>
+<span class="n">F10</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z1</span><span class="o">*</span><span class="mi">2</span><span class="p">,</span><span class="n">F10</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F1</span><span class="p">)</span>
+
+<span class="c1">#Recombine the two beams and propagate to the screen:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">BeamMix</span><span class="p">(</span><span class="n">F1</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z4</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">I</span><span class="o">=</span><span class="n">Intensity</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+
+<span class="n">s1</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;LightPipes for Python &#39;</span> <span class="o">+</span> <span class="n">LPversion</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;Michelson interferometer with a lens in one arm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>
+<span class="n">s2</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;Michelson.py&#39;</span><span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;size = </span><span class="si">{</span><span class="n">size</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;$</span><span class="se">\\</span><span class="s1">lambda$ = </span><span class="si">{</span><span class="n">wavelength</span><span class="o">/</span><span class="n">um</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> $</span><span class="se">\\</span><span class="s1">mu$m&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;N = </span><span class="si">{</span><span class="n">N</span><span class="si">:</span><span class="s1">d</span><span class="si">}</span><span class="s1">&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;R = </span><span class="si">{</span><span class="n">R</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm beam radius of the laser&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z1 = </span><span class="si">{</span><span class="n">z1</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 1&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z2 = </span><span class="si">{</span><span class="n">z2</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z3 = </span><span class="si">{</span><span class="n">z3</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the laser to the beam splitter&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z4 = </span><span class="si">{</span><span class="n">z4</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the beam splitter to the screen&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;tx, ty = </span><span class="si">{</span><span class="n">tx</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1">, </span><span class="si">{</span><span class="n">ty</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mrad tilt of mirror 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;$f_</span><span class="si">{lens}</span><span class="s1">$ = &#39;</span> <span class="o">+</span> <span class="sa">f</span><span class="s1">&#39;</span><span class="si">{</span><span class="n">f_lens</span><span class="o">/</span><span class="n">cm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> cm focal length of the lens in arm 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;${\copyright}$ Fred van Goor, June 2020&#39;</span>
+
+<span class="n">fig</span><span class="o">=</span><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span><span class="mi">9</span><span class="p">));</span>
+<span class="n">ax1</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">311</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax2</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">312</span><span class="p">);</span><span class="n">ax2</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax3</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">313</span><span class="p">);</span><span class="n">ax3</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax1</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">I</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;jet&#39;</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">&#39;intensity pattern&#39;</span><span class="p">)</span>
+<span class="n">ax2</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.6</span><span class="p">,</span><span class="n">s1</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">,</span> <span class="n">fontweight</span><span class="o">=</span><span class="s1">&#39;bold&#39;</span><span class="p">)</span>
+<span class="n">ax3</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.50</span><span class="p">,</span><span class="n">s2</span><span class="p">)</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
+</pre></div>
+</div>
+<p>(<a class="reference download internal" download="" href="_downloads/722a8375241f5baec2512e3d683cd39b/Michelson-with-lens.py"><code class="xref download docutils literal notranslate"><span class="pre">Source</span> <span class="pre">code</span></code></a>, <a class="reference download internal" download="" href="_downloads/5f2a3d571bcf1df70693d20ce287aac8/Michelson-with-lens.png"><code class="xref download docutils literal notranslate"><span class="pre">png</span></code></a>, <a class="reference download internal" download="" href="_downloads/0152ed12e42a1963f72f9660fe9c37a1/Michelson-with-lens.hires.png"><code class="xref download docutils literal notranslate"><span class="pre">hires.png</span></code></a>, <a class="reference download internal" download="" href="_downloads/c0ee4f3fa4ab94f536ad18292bfc96fe/Michelson-with-lens.pdf"><code class="xref download docutils literal notranslate"><span class="pre">pdf</span></code></a>)</p>
+<figure class="align-default">
+<img alt="_images/Michelson-with-lens.png" class="plot-directive" src="_images/Michelson-with-lens.png" />
 </figure>
+<hr class="docutils" />
 <p>Also the Michelson interferometer can be used to study the effect of phase aberrations. Place a phase aberrator, for example a Zernike aberration, in one of the arms.</p>
-<figure class="align-center" id="id2">
-<img alt="_images/MichelsonWithAberration.png" src="_images/MichelsonWithAberration.png" />
-<figcaption>
-<p><span class="caption-text"><em>Interference pattern when aberration is inserted in one of the arms.</em></span><a class="headerlink" href="#id2" title="Link to this image"></a></p>
-</figcaption>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="ch">#! /usr/bin/env python</span>
+<span class="kn">from</span> <span class="nn">LightPipes</span> <span class="kn">import</span> <span class="o">*</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+
+<span class="n">wavelength</span><span class="o">=</span><span class="mf">632.8</span><span class="o">*</span><span class="n">nm</span> <span class="c1">#wavelength of HeNe laser</span>
+<span class="n">size</span><span class="o">=</span><span class="mi">15</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># size of the grid</span>
+<span class="n">N</span><span class="o">=</span><span class="mi">500</span> <span class="c1"># number (NxN) of grid pixels</span>
+<span class="n">R</span><span class="o">=</span><span class="mi">9</span><span class="o">*</span><span class="n">mm</span> <span class="c1"># laser beam radius</span>
+<span class="n">z1</span><span class="o">=</span><span class="mi">8</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 1</span>
+<span class="n">z2</span><span class="o">=</span><span class="mi">7</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># length of arm 2</span>
+<span class="n">z3</span><span class="o">=</span><span class="mi">3</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance laser to beamsplitter</span>
+<span class="n">z4</span><span class="o">=</span><span class="mi">5</span><span class="o">*</span><span class="n">cm</span> <span class="c1"># distance beamsplitter to screen</span>
+<span class="n">Rbs</span><span class="o">=</span><span class="mf">0.5</span> <span class="c1"># reflection beam splitter</span>
+<span class="n">tx</span><span class="o">=</span><span class="mf">0.0</span><span class="o">*</span><span class="n">mrad</span><span class="p">;</span> <span class="n">ty</span><span class="o">=</span><span class="mf">0.0</span><span class="o">*</span><span class="n">mrad</span> <span class="c1"># tilt of mirror 1</span>
+<span class="n">zernabb</span> <span class="o">=</span> <span class="mi">7</span> <span class="c1"># Zernike aberration (7 = vertical coma)</span>
+
+
+
+<span class="c1">#Generate a laser beam:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Begin</span><span class="p">(</span><span class="n">size</span><span class="p">,</span><span class="n">wavelength</span><span class="p">,</span><span class="n">N</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">GaussBeam</span><span class="p">(</span><span class="n">F</span><span class="p">,</span> <span class="n">R</span><span class="p">)</span>
+
+<span class="c1">#Propagate to the beamsplitter:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z3</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+
+<span class="c1">#Split the beam and propagate to mirror #2:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z2</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+
+<span class="c1">#Introduce aberration and propagate back to the beamsplitter:</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Tilt</span><span class="p">(</span><span class="n">tx</span><span class="p">,</span><span class="n">ty</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="p">(</span><span class="n">mz</span><span class="p">,</span> <span class="n">nz</span><span class="p">)</span> <span class="o">=</span> <span class="n">noll_to_zern</span><span class="p">(</span><span class="n">zernabb</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Zernike</span><span class="p">(</span><span class="n">F2</span><span class="p">,</span> <span class="n">mz</span><span class="p">,</span> <span class="n">nz</span><span class="p">,</span> <span class="mi">6</span><span class="o">*</span><span class="n">mm</span><span class="p">,</span> <span class="n">A</span><span class="o">=</span><span class="mf">1.03</span><span class="o">*</span><span class="n">wavelength</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z2</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F2</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+
+<span class="c1">#Split off the second beam and propagate to- and back from the mirror #1:</span>
+<span class="n">F10</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z1</span><span class="o">*</span><span class="mi">2</span><span class="p">,</span><span class="n">F10</span><span class="p">)</span>
+<span class="n">F1</span><span class="o">=</span><span class="n">IntAttenuator</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">Rbs</span><span class="p">,</span><span class="n">F1</span><span class="p">)</span>
+
+<span class="c1">#Recombine the two beams and propagate to the screen:</span>
+<span class="n">F</span><span class="o">=</span><span class="n">BeamMix</span><span class="p">(</span><span class="n">F1</span><span class="p">,</span><span class="n">F2</span><span class="p">)</span>
+<span class="n">F</span><span class="o">=</span><span class="n">Forvard</span><span class="p">(</span><span class="n">z4</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+<span class="n">I</span><span class="o">=</span><span class="n">Intensity</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="n">F</span><span class="p">)</span>
+
+<span class="n">s1</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;LightPipes for Python &#39;</span> <span class="o">+</span> <span class="n">LPversion</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;Michelson interferometer with Zernike&#39;</span><span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span> <span class="o">+</span> <span class="s1">&#39;aberration in one arm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>
+
+<span class="n">s2</span> <span class="o">=</span>    <span class="sa">r</span><span class="s1">&#39;Michelson-with-aberration.py&#39;</span><span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;size = </span><span class="si">{</span><span class="n">size</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;$</span><span class="se">\\</span><span class="s1">lambda$ = </span><span class="si">{</span><span class="n">wavelength</span><span class="o">/</span><span class="n">um</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> $</span><span class="se">\\</span><span class="s1">mu$m&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;N = </span><span class="si">{</span><span class="n">N</span><span class="si">:</span><span class="s1">d</span><span class="si">}</span><span class="s1">&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;R = </span><span class="si">{</span><span class="n">R</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm beam radius of the laser&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z1 = </span><span class="si">{</span><span class="n">z1</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 1&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z2 = </span><span class="si">{</span><span class="n">z2</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm length of arm 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z3 = </span><span class="si">{</span><span class="n">z3</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the laser to the beam splitter&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;z4 = </span><span class="si">{</span><span class="n">z4</span><span class="o">/</span><span class="n">mm</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mm distance from the beam splitter to the screen&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;tx, ty = </span><span class="si">{</span><span class="n">tx</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1">, </span><span class="si">{</span><span class="n">ty</span><span class="o">/</span><span class="n">mrad</span><span class="si">:</span><span class="s1">4.2f</span><span class="si">}</span><span class="s1"> mrad tilt of mirror 2&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n</span><span class="s1">&#39;</span>\
+        <span class="sa">f</span><span class="s1">&#39;Zernike aberration = </span><span class="si">{</span><span class="n">noll_to_zern</span><span class="p">(</span><span class="n">zernabb</span><span class="p">)</span><span class="si">}</span><span class="s1">, </span><span class="si">{</span><span class="n">ZernikeName</span><span class="p">(</span><span class="n">zernabb</span><span class="p">)</span><span class="si">}</span><span class="s1">&#39;</span> <span class="o">+</span> <span class="s1">&#39;</span><span class="se">\n\n</span><span class="s1">&#39;</span>\
+        <span class="sa">r</span><span class="s1">&#39;${\copyright}$ Fred van Goor, June 2020&#39;</span>
+
+<span class="n">fig</span><span class="o">=</span><span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span><span class="mi">9</span><span class="p">));</span>
+<span class="n">ax1</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">311</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax2</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">312</span><span class="p">);</span><span class="n">ax2</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax3</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">313</span><span class="p">);</span><span class="n">ax3</span><span class="o">.</span><span class="n">axis</span><span class="p">(</span><span class="s1">&#39;off&#39;</span><span class="p">)</span>
+<span class="n">ax1</span><span class="o">.</span><span class="n">imshow</span><span class="p">(</span><span class="n">I</span><span class="p">,</span><span class="n">cmap</span><span class="o">=</span><span class="s1">&#39;jet&#39;</span><span class="p">);</span><span class="n">ax1</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s1">&#39;intensity pattern&#39;</span><span class="p">)</span>
+<span class="n">ax2</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.6</span><span class="p">,</span><span class="n">s1</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">12</span><span class="p">,</span> <span class="n">fontweight</span><span class="o">=</span><span class="s1">&#39;bold&#39;</span><span class="p">)</span>
+<span class="n">ax3</span><span class="o">.</span><span class="n">text</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span><span class="mf">0.50</span><span class="p">,</span><span class="n">s2</span><span class="p">)</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
+</pre></div>
+</div>
+<p>(<a class="reference download internal" download="" href="_downloads/ae71177a83317cd5339787a1561145ad/Michelson-with-aberration.py"><code class="xref download docutils literal notranslate"><span class="pre">Source</span> <span class="pre">code</span></code></a>, <a class="reference download internal" download="" href="_downloads/b1ae9dda9a2650455678ac3db20ef5a9/Michelson-with-aberration.png"><code class="xref download docutils literal notranslate"><span class="pre">png</span></code></a>, <a class="reference download internal" download="" href="_downloads/bdbbc1ba119afa261bd4a160f31477f4/Michelson-with-aberration.hires.png"><code class="xref download docutils literal notranslate"><span class="pre">hires.png</span></code></a>, <a class="reference download internal" download="" href="_downloads/8ce4713b2ac09a79f41dd90c24282c98/Michelson-with-aberration.pdf"><code class="xref download docutils literal notranslate"><span class="pre">pdf</span></code></a>)</p>
+<figure class="align-default">
+<img alt="_images/Michelson-with-aberration.png" class="plot-directive" src="_images/Michelson-with-aberration.png" />
 </figure>
 </section>
 
@@ -144,7 +351,7 @@ <h1><span class="section-number">7.1.2. </span>Michelson interferometer.<a class
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/RadialShearInterferometer.html b/docs/RadialShearInterferometer.html
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--- a/docs/RadialShearInterferometer.html
+++ b/docs/RadialShearInterferometer.html
@@ -7,7 +7,7 @@
   <title>7.7.2. Radial shear interferometer. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
 
   
   <!--[if lt IE 9]>
diff --git a/docs/YoungsExperiment.html b/docs/YoungsExperiment.html
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--- a/docs/YoungsExperiment.html
+++ b/docs/YoungsExperiment.html
@@ -176,7 +176,7 @@
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
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--- /dev/null
+++ b/docs/_downloads/722a8375241f5baec2512e3d683cd39b/Michelson-with-lens.py
@@ -0,0 +1,67 @@
+#! /usr/bin/env python
+from LightPipes import *
+import matplotlib.pyplot as plt
+
+wavelength=632.8*nm #wavelength of HeNe laser
+size=15*mm # size of the grid
+N=500 # number (NxN) of grid pixels
+R=9*mm # laser beam radius
+z1=8*cm # length of arm 1
+z2=7*cm # length of arm 2
+z3=3*cm # distance laser to beamsplitter
+z4=5*cm # distance beamsplitter to screen
+Rbs=0.5 # reflection beam splitter
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+f_lens = 500*cm
+
+#Generate a laser beam:
+F=Begin(size,wavelength,N)
+F=GaussBeam(F, R)
+
+#Propagate to the beamsplitter:
+F=Forvard(z3,F)
+
+#Split the beam and propagate to mirror #2:
+F2=IntAttenuator(1-Rbs,F)
+F2=Forvard(z2,F2)
+
+#Introduce aberration and propagate back to the beamsplitter:
+F2=Tilt(tx,ty,F2)
+F2 = Lens(f_lens, F2)
+F2=Forvard(z2,F2)
+F2=IntAttenuator(Rbs,F2)
+
+#Split off the second beam and propagate to- and back from the mirror #1:
+F10=IntAttenuator(Rbs,F)
+F1=Forvard(z1*2,F10)
+F1=IntAttenuator(1-Rbs,F1)
+
+#Recombine the two beams and propagate to the screen:
+F=BeamMix(F1,F2)
+F=Forvard(z4,F)
+I=Intensity(1,F)
+
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with a lens in one arm' + '\n'
+s2 =    r'Michelson.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        r'$f_{lens}$ = ' + f'{f_lens/cm:4.2f} cm focal length of the lens in arm 2' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
+plt.show()
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diff --git a/docs/_downloads/8e82c777750716932345579b66e0387e/Michelson.py b/docs/_downloads/8e82c777750716932345579b66e0387e/Michelson.py
index 822ea75d..d5000005 100644
--- a/docs/_downloads/8e82c777750716932345579b66e0387e/Michelson.py
+++ b/docs/_downloads/8e82c777750716932345579b66e0387e/Michelson.py
@@ -11,41 +11,37 @@
 z3=3*cm # distance laser to beamsplitter
 z4=5*cm # distance beamsplitter to screen
 Rbs=0.5 # reflection beam splitter
-tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
-zernabb = 7 # Zernike aberration (7 = vertical coma)
+tx=0.5*mrad; ty=0.0*mrad # tilt of mirror 1
 
-print(ZernikeName(zernabb))
-print(noll_to_zern(zernabb))
-
-#Generate a weak diverging laser beam using a weak negative lens:
+#Generate a laser beam:
 F=Begin(size,wavelength,N)
 F=GaussBeam(F, R)
-#F=Lens(F,-0.5*m)
+
 #Propagate to the beamsplitter:
-F=Forvard(z3,F)
+F=Forvard(F,z3)
 
 #Split the beam and propagate to mirror #2:
-F2=IntAttenuator(1-Rbs,F)
-F2=Forvard(z2,F2)
+F2=IntAttenuator(F, 1-Rbs)
+F2=Forvard(F2,z2)
 
 #Introduce aberration and propagate back to the beamsplitter:
-F2=Tilt(tx,ty,F2)
-(mz, nz) = noll_to_zern(zernabb)
-F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
-F2=Forvard(z2,F2)
-F2=IntAttenuator(Rbs,F2)
+F2=Tilt(F2,tx,ty)
+F2=Forvard(F2,z2)
+F2=IntAttenuator(F2,Rbs)
 
 #Split off the second beam and propagate to- and back from the mirror #1:
-F10=IntAttenuator(Rbs,F)
-F1=Forvard(z1*2,F10)
-F1=IntAttenuator(1-Rbs,F1)
+F10=IntAttenuator(F,Rbs)
+F1=Forvard(F10,z1*2)
+F1=IntAttenuator(F1,1-Rbs)
 
 #Recombine the two beams and propagate to the screen:
 F=BeamMix(F1,F2)
-F=Forvard(z4,F)
-I=Intensity(1,F)
+F=Forvard(F,z4)
+I=Intensity(F)
 
-s1 =    r'LightPipes for Python ' + LPversion + '\n'
+#Present the results:
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with mirror tilt in one arm' + '\n'
 s2 =    r'Michelson.py'+ '\n\n'\
         f'size = {size/mm:4.2f} mm' + '\n'\
         f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
@@ -55,19 +51,15 @@
         f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
         f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
         f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
-        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
-        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n\n'\
         r'${\copyright}$ Fred van Goor, June 2020'
-
-fig=plt.figure(figsize=(12,12));
+        
+fig=plt.figure(figsize=(6,9));
 ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
 
-ax2 = fig.add_subplot(312);ax2.axis('on')
-ax3 = fig.add_subplot(313);ax3.axis('on')
-ax1.imshow(I,cmap='rainbow');ax1.set_title('intensity pattern')
-
-
-ax2.text(0.0,1.0,s1,fontsize=12, fontweight='bold')
-ax3.text(0.0,0.5,s2)
-#plt.imshow(I,cmap='jet'); plt.axis('off');plt.title('intensity pattern')
 plt.show()
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+++ b/docs/_downloads/ae71177a83317cd5339787a1561145ad/Michelson-with-aberration.py
@@ -0,0 +1,71 @@
+#! /usr/bin/env python
+from LightPipes import *
+import matplotlib.pyplot as plt
+
+wavelength=632.8*nm #wavelength of HeNe laser
+size=15*mm # size of the grid
+N=500 # number (NxN) of grid pixels
+R=9*mm # laser beam radius
+z1=8*cm # length of arm 1
+z2=7*cm # length of arm 2
+z3=3*cm # distance laser to beamsplitter
+z4=5*cm # distance beamsplitter to screen
+Rbs=0.5 # reflection beam splitter
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+zernabb = 7 # Zernike aberration (7 = vertical coma)
+
+
+
+#Generate a laser beam:
+F=Begin(size,wavelength,N)
+F=GaussBeam(F, R)
+
+#Propagate to the beamsplitter:
+F=Forvard(z3,F)
+
+#Split the beam and propagate to mirror #2:
+F2=IntAttenuator(1-Rbs,F)
+F2=Forvard(z2,F2)
+
+#Introduce aberration and propagate back to the beamsplitter:
+F2=Tilt(tx,ty,F2)
+(mz, nz) = noll_to_zern(zernabb)
+F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
+F2=Forvard(z2,F2)
+F2=IntAttenuator(Rbs,F2)
+
+#Split off the second beam and propagate to- and back from the mirror #1:
+F10=IntAttenuator(Rbs,F)
+F1=Forvard(z1*2,F10)
+F1=IntAttenuator(1-Rbs,F1)
+
+#Recombine the two beams and propagate to the screen:
+F=BeamMix(F1,F2)
+F=Forvard(z4,F)
+I=Intensity(1,F)
+
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with Zernike'+ '\n' + 'aberration in one arm' + '\n'
+        
+s2 =    r'Michelson-with-aberration.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
+plt.show()
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index dc189906..6e79ac65 100644
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+++ b/docs/_sources/MichelsonInterferometer.rst.txt
@@ -7,6 +7,74 @@ In a Michelson interferometer an incoming wave is split in two by a beamsplitter
 
 In this experiment we demonstrate a Michelson interferometer with unequal mirror distances and one of the mirrors tilted.
 
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.5*mrad; ty=0.0*mrad # tilt of mirror 1
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(F,z3)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(F, 1-Rbs)
+    F2=Forvard(F2,z2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(F2,tx,ty)
+    F2=Forvard(F2,z2)
+    F2=IntAttenuator(F2,Rbs)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(F,Rbs)
+    F1=Forvard(F10,z1*2)
+    F1=IntAttenuator(F1,1-Rbs)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(F,z4)
+    I=Intensity(F)
+
+    #Present the results:
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with mirror tilt in one arm' + '\n'
+    s2 =    r'Michelson.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
 .. Index::
     Michelson
     interferometer
@@ -21,16 +89,159 @@ In this experiment we demonstrate a Michelson interferometer with unequal mirror
 
 .. plot:: ./Examples/Interference/Michelson.py
 
+----
+
 You can modify the source Python script by, for example, insertion of a lens in one of the arms and remove the mirror tilt. The resulting interference pattern will be a set of concentric circles.
 
-.. figure::  _static/MichelsonWithLens.png
-    :align:   center
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+    f_lens = 500*cm
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(z3,F)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(1-Rbs,F)
+    F2=Forvard(z2,F2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(tx,ty,F2)
+    F2 = Lens(f_lens, F2)
+    F2=Forvard(z2,F2)
+    F2=IntAttenuator(Rbs,F2)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(Rbs,F)
+    F1=Forvard(z1*2,F10)
+    F1=IntAttenuator(1-Rbs,F1)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(z4,F)
+    I=Intensity(1,F)
+
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with a lens in one arm' + '\n'
+    s2 =    r'Michelson.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+            r'$f_{lens}$ = ' + f'{f_lens/cm:4.2f} cm focal length of the lens in arm 2' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
+
+.. plot:: ./Examples/Interference/Michelson-with-lens.py
+
+----
 
-    *Interference pattern when a f=100cm lens is inserted in one of the arms and with the mirror tilt removed.*
-    
 Also the Michelson interferometer can be used to study the effect of phase aberrations. Place a phase aberrator, for example a Zernike aberration, in one of the arms.
 
-.. figure::  _static/MichelsonWithAberration.png
-    :align:   center
-    
-    *Interference pattern when aberration is inserted in one of the arms.*
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+    zernabb = 7 # Zernike aberration (7 = vertical coma)
+
+
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(z3,F)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(1-Rbs,F)
+    F2=Forvard(z2,F2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(tx,ty,F2)
+    (mz, nz) = noll_to_zern(zernabb)
+    F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
+    F2=Forvard(z2,F2)
+    F2=IntAttenuator(Rbs,F2)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(Rbs,F)
+    F1=Forvard(z1*2,F10)
+    F1=IntAttenuator(1-Rbs,F1)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(z4,F)
+    I=Intensity(1,F)
+
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with Zernike'+ '\n' + 'aberration in one arm' + '\n'
+            
+    s2 =    r'Michelson-with-aberration.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+            f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
+.. plot:: ./Examples/Interference/Michelson-with-aberration.py
diff --git a/docs/doctrees/MichelsonInterferometer.doctree b/docs/doctrees/MichelsonInterferometer.doctree
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diff --git a/docs/examples.html b/docs/examples.html
index 594a2bda..70282195 100644
--- a/docs/examples.html
+++ b/docs/examples.html
@@ -312,7 +312,7 @@ <h2><span class="section-number">7.4. </span>Non-diffractive Bessel beam.<a clas
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/genindex.html b/docs/genindex.html
index d3949721..443d99e2 100644
--- a/docs/genindex.html
+++ b/docs/genindex.html
@@ -615,7 +615,7 @@ <h2 id="Z">Z</h2>
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/index.html b/docs/index.html
index 8740885a..a39ccf21 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -89,8 +89,7 @@
              
   <section id="lightpipes-for-python-release">
 <h1>LightPipes for Python 2.1.5<a class="headerlink" href="#lightpipes-for-python-release" title="Link to this heading"></a></h1>
-<a class="reference external image-reference" href="http://www.okotech.com"><img alt="_images/front.png" class="align-center" src="_images/front.png" />
-</a>
+<a class="reference external image-reference" href="http://www.okotech.com"><img alt="_images/front.png" class="align-center" src="_images/front.png" /></a>
 <a class="reference external image-reference" href="https://badge.fury.io/py/LightPipes"><img alt="https://badge.fury.io/py/LightPipes.svg" src="https://badge.fury.io/py/LightPipes.svg" /></a>
 <section id="contents">
 <h2>contents:<a class="headerlink" href="#contents" title="Link to this heading"></a></h2>
@@ -241,7 +240,7 @@ <h2>contents:<a class="headerlink" href="#contents" title="Link to this heading"
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
diff --git a/docs/install.html b/docs/install.html
index 44b084f8..664cb322 100644
--- a/docs/install.html
+++ b/docs/install.html
@@ -7,7 +7,7 @@
   <title>2. Installation. &mdash; LightPipes for Python 2.1.5 documentation</title>
       <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
       <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" />
-      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css?v=7f9a90b1" />
+      <link rel="stylesheet" type="text/css" href="_static/plot_directive.css" />
 
   
   <!--[if lt IE 9]>
diff --git a/docs/manual.html b/docs/manual.html
index 872581de..7d97bac6 100644
--- a/docs/manual.html
+++ b/docs/manual.html
@@ -1638,7 +1638,7 @@ <h2><span class="section-number">6.13. </span>References<a class="headerlink" hr
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
-      <span class="lastupdated">Last updated on Aug 05, 2024.
+      <span class="lastupdated">Last updated on Aug 06, 2024.
       </span></p>
   </div>
 
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diff --git a/docs/plot_directive/Examples/Interference/Michelson-with-aberration.py b/docs/plot_directive/Examples/Interference/Michelson-with-aberration.py
new file mode 100644
index 00000000..5c9eedf0
--- /dev/null
+++ b/docs/plot_directive/Examples/Interference/Michelson-with-aberration.py
@@ -0,0 +1,71 @@
+#! /usr/bin/env python
+from LightPipes import *
+import matplotlib.pyplot as plt
+
+wavelength=632.8*nm #wavelength of HeNe laser
+size=15*mm # size of the grid
+N=500 # number (NxN) of grid pixels
+R=9*mm # laser beam radius
+z1=8*cm # length of arm 1
+z2=7*cm # length of arm 2
+z3=3*cm # distance laser to beamsplitter
+z4=5*cm # distance beamsplitter to screen
+Rbs=0.5 # reflection beam splitter
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+zernabb = 7 # Zernike aberration (7 = vertical coma)
+
+
+
+#Generate a laser beam:
+F=Begin(size,wavelength,N)
+F=GaussBeam(F, R)
+
+#Propagate to the beamsplitter:
+F=Forvard(z3,F)
+
+#Split the beam and propagate to mirror #2:
+F2=IntAttenuator(1-Rbs,F)
+F2=Forvard(z2,F2)
+
+#Introduce aberration and propagate back to the beamsplitter:
+F2=Tilt(tx,ty,F2)
+(mz, nz) = noll_to_zern(zernabb)
+F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
+F2=Forvard(z2,F2)
+F2=IntAttenuator(Rbs,F2)
+
+#Split off the second beam and propagate to- and back from the mirror #1:
+F10=IntAttenuator(Rbs,F)
+F1=Forvard(z1*2,F10)
+F1=IntAttenuator(1-Rbs,F1)
+
+#Recombine the two beams and propagate to the screen:
+F=BeamMix(F1,F2)
+F=Forvard(z4,F)
+I=Intensity(1,F)
+
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with Zernike'+ '\n' + 'aberration in one arm' + '\n'
+        
+s2 =    r'Michelson-with-aberration.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
+plt.show()
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diff --git a/docs/plot_directive/Examples/Interference/Michelson-with-lens.py b/docs/plot_directive/Examples/Interference/Michelson-with-lens.py
new file mode 100644
index 00000000..c8c5c64c
--- /dev/null
+++ b/docs/plot_directive/Examples/Interference/Michelson-with-lens.py
@@ -0,0 +1,67 @@
+#! /usr/bin/env python
+from LightPipes import *
+import matplotlib.pyplot as plt
+
+wavelength=632.8*nm #wavelength of HeNe laser
+size=15*mm # size of the grid
+N=500 # number (NxN) of grid pixels
+R=9*mm # laser beam radius
+z1=8*cm # length of arm 1
+z2=7*cm # length of arm 2
+z3=3*cm # distance laser to beamsplitter
+z4=5*cm # distance beamsplitter to screen
+Rbs=0.5 # reflection beam splitter
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+f_lens = 500*cm
+
+#Generate a laser beam:
+F=Begin(size,wavelength,N)
+F=GaussBeam(F, R)
+
+#Propagate to the beamsplitter:
+F=Forvard(z3,F)
+
+#Split the beam and propagate to mirror #2:
+F2=IntAttenuator(1-Rbs,F)
+F2=Forvard(z2,F2)
+
+#Introduce aberration and propagate back to the beamsplitter:
+F2=Tilt(tx,ty,F2)
+F2 = Lens(f_lens, F2)
+F2=Forvard(z2,F2)
+F2=IntAttenuator(Rbs,F2)
+
+#Split off the second beam and propagate to- and back from the mirror #1:
+F10=IntAttenuator(Rbs,F)
+F1=Forvard(z1*2,F10)
+F1=IntAttenuator(1-Rbs,F1)
+
+#Recombine the two beams and propagate to the screen:
+F=BeamMix(F1,F2)
+F=Forvard(z4,F)
+I=Intensity(1,F)
+
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with a lens in one arm' + '\n'
+s2 =    r'Michelson.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        r'$f_{lens}$ = ' + f'{f_lens/cm:4.2f} cm focal length of the lens in arm 2' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
+plt.show()
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index 96031a69..c25726cf 100644
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index 1ce20d75..2e9c7863 100644
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diff --git a/docs/plot_directive/Examples/Interference/Michelson.py b/docs/plot_directive/Examples/Interference/Michelson.py
index 822ea75d..d5000005 100644
--- a/docs/plot_directive/Examples/Interference/Michelson.py
+++ b/docs/plot_directive/Examples/Interference/Michelson.py
@@ -11,41 +11,37 @@
 z3=3*cm # distance laser to beamsplitter
 z4=5*cm # distance beamsplitter to screen
 Rbs=0.5 # reflection beam splitter
-tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
-zernabb = 7 # Zernike aberration (7 = vertical coma)
+tx=0.5*mrad; ty=0.0*mrad # tilt of mirror 1
 
-print(ZernikeName(zernabb))
-print(noll_to_zern(zernabb))
-
-#Generate a weak diverging laser beam using a weak negative lens:
+#Generate a laser beam:
 F=Begin(size,wavelength,N)
 F=GaussBeam(F, R)
-#F=Lens(F,-0.5*m)
+
 #Propagate to the beamsplitter:
-F=Forvard(z3,F)
+F=Forvard(F,z3)
 
 #Split the beam and propagate to mirror #2:
-F2=IntAttenuator(1-Rbs,F)
-F2=Forvard(z2,F2)
+F2=IntAttenuator(F, 1-Rbs)
+F2=Forvard(F2,z2)
 
 #Introduce aberration and propagate back to the beamsplitter:
-F2=Tilt(tx,ty,F2)
-(mz, nz) = noll_to_zern(zernabb)
-F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
-F2=Forvard(z2,F2)
-F2=IntAttenuator(Rbs,F2)
+F2=Tilt(F2,tx,ty)
+F2=Forvard(F2,z2)
+F2=IntAttenuator(F2,Rbs)
 
 #Split off the second beam and propagate to- and back from the mirror #1:
-F10=IntAttenuator(Rbs,F)
-F1=Forvard(z1*2,F10)
-F1=IntAttenuator(1-Rbs,F1)
+F10=IntAttenuator(F,Rbs)
+F1=Forvard(F10,z1*2)
+F1=IntAttenuator(F1,1-Rbs)
 
 #Recombine the two beams and propagate to the screen:
 F=BeamMix(F1,F2)
-F=Forvard(z4,F)
-I=Intensity(1,F)
+F=Forvard(F,z4)
+I=Intensity(F)
 
-s1 =    r'LightPipes for Python ' + LPversion + '\n'
+#Present the results:
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with mirror tilt in one arm' + '\n'
 s2 =    r'Michelson.py'+ '\n\n'\
         f'size = {size/mm:4.2f} mm' + '\n'\
         f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
@@ -55,19 +51,15 @@
         f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
         f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
         f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
-        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
-        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n\n'\
         r'${\copyright}$ Fred van Goor, June 2020'
-
-fig=plt.figure(figsize=(12,12));
+        
+fig=plt.figure(figsize=(6,9));
 ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
 
-ax2 = fig.add_subplot(312);ax2.axis('on')
-ax3 = fig.add_subplot(313);ax3.axis('on')
-ax1.imshow(I,cmap='rainbow');ax1.set_title('intensity pattern')
-
-
-ax2.text(0.0,1.0,s1,fontsize=12, fontweight='bold')
-ax3.text(0.0,0.5,s2)
-#plt.imshow(I,cmap='jet'); plt.axis('off');plt.title('intensity pattern')
 plt.show()
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     <p>&#169; Copyright 2017, Fred van Goor.
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@@ -108,7 +108,7 @@
 
   <div role="contentinfo">
     <p>&#169; Copyright 2017, Fred van Goor.
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"install.rst", "introduction.rst", "manual.rst", "resonator_geometric_optics.rst", "support.rst"], "titles": ["<span class=\"section-number\">7.3.1. </span>Generation of a 2-dimensional Airy beam from a Gaussian laser beam.", "<span class=\"section-number\">7.4.1.2. </span>Generation of a Bessel beam with a lens and an annular slit.", "<span class=\"section-number\">7.4.2. </span>Generation of a Bessel beam with an axicon.", "<span class=\"section-number\">7.4.1.1. </span>Collimating the edge waves with a lens.", "<span class=\"section-number\">9. </span>Diaprojector (In Dutch).", "<span class=\"section-number\">7.2.1. </span>Diffraction from a circular aperture.", "<span class=\"section-number\">7.5.3. </span>Laguerre doughnut modes.", "<span class=\"section-number\">8.3.5. </span>Fabry Perot interferometer.", "<span class=\"section-number\">8.3.6. </span>Fresnel diffraction.", "<span class=\"section-number\">7.2.3. </span>Fresnel zone plate.", "<span class=\"section-number\">7.8.1. </span>Demonstration of a GRIN lens.", "<span class=\"section-number\">7.8.2. </span>Young\u2019s experiment with GRIN lens.", "<span class=\"section-number\">7.5.1. </span>Hermite Gauss modes.", "<span class=\"section-number\">7.1.4. </span>Interference of a doughnut laser beam: collinear beams.", "<span class=\"section-number\">7.1.5. </span>Interference of a doughnut laser beam: tilted beams.", "<span class=\"section-number\">7.5.2. </span>Laguerre Gauss modes.", "<span class=\"section-number\">7.5.7. </span>Transformation of high order Gauss modes.", "<span class=\"section-number\">7.1.2. </span>Michelson interferometer.", "<span class=\"section-number\">7.1.3. </span>Multi- holes and slits.", "<span class=\"section-number\">8.3.4. </span>Newton rings.", "<span class=\"section-number\">7.9.1. </span>Pattern recognition.", "<span class=\"section-number\">7.6.1. </span>Phase recovery using Gerchberg Saxton iteration.", "<span class=\"section-number\">7.2.2. </span>Spot of Poisson.", 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"het-maken-van-een-afbeelding-op-een-scherm"]], "Uitvoering van het afbeeldingsexperiment (Niveau 1, basisonderwijs).": [[4, "uitvoering-van-het-afbeeldingsexperiment-niveau-1-basisonderwijs"]], "Meting van de brandpuntsafstand van de lens.": [[4, "meting-van-de-brandpuntsafstand-van-de-lens"]], "Bepaling van de plaats van het scherm.": [[4, "bepaling-van-de-plaats-van-het-scherm"]], "Uitvoering van het afbeeldingsexperiment (Niveau 2, voortgezet onderwijs, HBO, 1e jaars universiteit).": [[4, "uitvoering-van-het-afbeeldingsexperiment-niveau-2-voortgezet-onderwijs-hbo-1e-jaars-universiteit"]], "Stap voor stap uitvoering van het experiment.": [[4, "stap-voor-stap-uitvoering-van-het-experiment"]], "Meetfouten.": [[4, "meetfouten"]], "Appendix 1.": [[4, "appendix-1"]], "Diffraction from a circular aperture.": [[5, "diffraction-from-a-circular-aperture"]], "Laguerre doughnut modes.": [[6, "laguerre-doughnut-modes"]], "Fabry Perot interferometer.": [[7, "fabry-perot-interferometer"]], "Measurement of the distance between two wavelengths.": [[7, "measurement-of-the-distance-between-two-wavelengths"]], "Measurement of the refractive index of a medium.": [[7, "measurement-of-the-refractive-index-of-a-medium"]], "Questions about the Fabry Perot interferometer.": [[7, "questions-about-the-fabry-perot-interferometer"]], "Fresnel diffraction.": [[8, "fresnel-diffraction"]], "Fresnel diffraction, plane wavefront.": [[8, "fresnel-diffraction-plane-wavefront"]], "Fresnel diffraction, spherical wavefront.": [[8, "fresnel-diffraction-spherical-wavefront"]], "Questions about Fresnel diffraction.": [[8, "questions-about-fresnel-diffraction"]], "Fresnel zone plate.": [[9, "fresnel-zone-plate"]], "Demonstration of a GRIN lens.": [[10, "demonstration-of-a-grin-lens"]], "Young\u2019s experiment with GRIN lens.": [[11, "young-s-experiment-with-grin-lens"]], "Hermite Gauss modes.": [[12, "hermite-gauss-modes"]], "Interference of a doughnut laser beam: collinear beams.": [[13, "interference-of-a-doughnut-laser-beam-collinear-beams"]], "Interference of a doughnut laser beam: tilted beams.": [[14, "interference-of-a-doughnut-laser-beam-tilted-beams"]], "Laguerre Gauss modes.": [[15, "laguerre-gauss-modes"]], "Transformation of high order Gauss modes.": [[16, "transformation-of-high-order-gauss-modes"]], "From Hermite to Laguerre.": [[16, "from-hermite-to-laguerre"]], "From Laguerre to Hermite.": [[16, "from-laguerre-to-hermite"]], "Michelson interferometer.": [[17, "michelson-interferometer"]], "Multi- holes and slits.": [[18, "multi-holes-and-slits"]], "Newton rings.": [[19, "newton-rings"]], "Measurement of the radius of curvature of the lens.": [[19, "measurement-of-the-radius-of-curvature-of-the-lens"]], "Measurement of the refractive index of the film between the lens and the flat plate.": [[19, "measurement-of-the-refractive-index-of-the-film-between-the-lens-and-the-flat-plate"]], "Questions about Newton rings.": [[19, "questions-about-newton-rings"]], "Pattern recognition.": [[20, "pattern-recognition"]], "Phase recovery using Gerchberg Saxton iteration.": [[21, "phase-recovery-using-gerchberg-saxton-iteration"]], "Spot of Poisson.": [[22, "spot-of-poisson"]], "From Poisson spot to a non-diffractive Bessel beam.": [[23, "from-poisson-spot-to-a-non-diffractive-bessel-beam"]], "Propagation in a lens-like, absorptive medium.": [[24, "propagation-in-a-lens-like-absorptive-medium"]], "Internal reflection and refraction.": [[26, "internal-reflection-and-refraction"]], "Measurement of the refractive index of the medium.": [[26, "measurement-of-the-refractive-index-of-the-medium"]], "Questions.": [[26, "questions"]], "Shack Hartmann sensor.": [[27, "shack-hartmann-sensor"]], "Spherical wavefront.": [[28, "spherical-wavefront"]], "Irradiance dependency of a spherical wavefront.": [[28, "irradiance-dependency-of-a-spherical-wavefront"]], "Questions about the spherical wavefront.": [[28, "questions-about-the-spherical-wavefront"]], "Laser simulation, stable laser resonator.": [[29, "laser-simulation-stable-laser-resonator"]], "Transformation of a fundamental Gauss mode into a doughnut mode with a spiral phase plate.": [[30, "transformation-of-a-fundamental-gauss-mode-into-a-doughnut-mode-with-a-spiral-phase-plate"]], "Two holes interferometer.": [[31, "two-holes-interferometer"]], "Measurement of the wavelength.": [[31, "measurement-of-the-wavelength"]], "Measurement of the thickness of a thin film that covers one of the holes.": [[31, "measurement-of-the-thickness-of-a-thin-film-that-covers-one-of-the-holes"]], "Questions about Young\u2019s experiment.": [[31, "questions-about-young-s-experiment"]], "Unstable laser resonator.": [[32, "unstable-laser-resonator"]], "User defined functions.": [[33, "user-defined-functions"]], "User defined functions in a subdirectory of your Python scripts.": [[33, "user-defined-functions-in-a-subdirectory-of-your-python-scripts"]], "Make your functions part of your LightPipes for Python installation.": [[33, "make-your-functions-part-of-your-lightpipes-for-python-installation"]], "Your command should be an extension of LightPipes.": [[33, "your-command-should-be-an-extension-of-lightpipes"]], "Zernike aberrations.": [[35, "zernike-aberrations"]], "Command Reference.": [[36, "module-LightPipes"]], "Computer practical.": [[37, "computer-practical"]], "Introduction to computer practical.": [[37, "introduction-to-computer-practical"]], "Prepare your computer.": [[37, "prepare-your-computer"]], "Assignments.": [[37, "assignments"]], "Examples.": [[38, "examples"]], "Interference examples.": [[38, "interference-examples"]], "Diffraction examples.": [[38, "diffraction-examples"]], "Non-diffracting Airy beams.": [[38, "non-diffracting-airy-beams"]], "Non-diffractive Bessel beam.": [[38, "non-diffractive-bessel-beam"]], "Laser examples.": [[38, "laser-examples"]], "Phase recovery.": [[38, "phase-recovery"]], "Zernike aberration.": [[38, "zernike-aberration"]], "Graded index media GRIN.": [[38, "graded-index-media-grin"]], "Fourier optics.": [[38, "fourier-optics"]], "LightPipes for Python 2.1.5": [[39, "lightpipes-for-python-release"]], "contents:": [[39, "contents"]], "Introduction.": [[41, "introduction"]], "Credits.": [[41, "credits"]], "Gauss TEM00 mode described with geometric optics.": [[43, "gauss-tem00-mode-described-with-geometric-optics"]], "ABCD matrix formulation to describe the propagation of rays.": [[43, "abcd-matrix-formulation-to-describe-the-propagation-of-rays"]], "Eigen values and eigen vectors (eigen rays)": [[43, "eigen-values-and-eigen-vectors-eigen-rays"]], "Collection of rays that can be confined to the resonator": [[43, "collection-of-rays-that-can-be-confined-to-the-resonator"]], "Second moments": [[43, "second-moments"]], "Wavefront radius": [[43, "wavefront-radius"]], "Brightness": [[43, "brightness"]], "Get the constant c": [[43, "get-the-constant-c"]], "Support.": [[44, "support"]], "Radial shear interferometer.": [[25, "radial-shear-interferometer"]], "Installation.": [[40, "installation"]], "LightPipes  release notes.": [[40, "lightpipes-release-notes"]], "Known installation problems.": [[40, "known-installation-problems"]], "Using LightPipes with the pyFFTW package.": [[40, "using-lightpipes-with-the-pyfftw-package"]], "Manual.": [[42, "manual"]], "First steps.": [[42, "first-steps"]], "Starting the calculations.": [[42, "starting-the-calculations"]], "The dimensions of structures.": [[42, "the-dimensions-of-structures"]], "Apertures and screens.": [[42, "apertures-and-screens"]], "Graphing and visualisation.": [[42, "graphing-and-visualisation"]], "Free space propagation.": [[42, "free-space-propagation"]], "FFT propagation (spectral method).": [[42, "fft-propagation-spectral-method"]], "Direct integration as a convolution: FFT approach.": [[42, "direct-integration-as-a-convolution-fft-approach"]], "Direct integration.": [[42, "direct-integration"]], "Finite difference method.": [[42, "finite-difference-method"]], "Splitting and mixing beams.": [[42, "splitting-and-mixing-beams"]], "Interpolation.": [[42, "interpolation"]], "Phase and intensity filters.": [[42, "phase-and-intensity-filters"]], "Zernike polynomials.": [[42, "zernike-polynomials"]], "Spherical coordinates.": [[42, "spherical-coordinates"]], "User defined phase and intensity filters.": [[42, "user-defined-phase-and-intensity-filters"]], "Random filters.": [[42, "random-filters"]], "FFT and spatial filters.": [[42, "fft-and-spatial-filters"]], "Laser amplifier.": [[42, "laser-amplifier"]], "Diagnostics.": [[42, "diagnostics"]], "Strehl ratio.": [[42, "strehl-ratio"]], "Beam power.": [[42, "beam-power"]], "Field normalization.": [[42, "field-normalization"]], "Centroid.": [[42, "centroid"]], "Beam width.": [[42, "beam-width"]], "D4\\sigma": [[42, "d4-sigma"]], "References": [[42, "references"]], "Young\u2019s experiment.": [[34, "young-s-experiment"]]}, "indexentries": {"beammix": [[34, "index-0"]], 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\ No newline at end of file
+Search.setIndex({"docnames": ["2DAiryBeam", "BesselBeamWithAnnularSlit", "BesselBeamWithAxicon", "CollimatingEdgeWaves", "Diaprojector", "DiffractionRoundHole", "DoughnutModes", "FabryPerot", "FresnelDiffraction", "FresnelZonePlate", "GRINDemo", "GRINYoung", "HermiteGaussModes", "InterferenceDoughnutCollinear", "InterferenceDoughnutTilted", "LaguerreGaussModes", "LaserModeTransformer", "MichelsonInterferometer", "MultiHoleAndSlit", "NewtonRings", "PatternRecognition", "PhaseRecoveryGerchbergSaxton", "PoissonSpot", "PoissonSpottoBesselBeam", "PropagationLensLikeMedium", "RadialShearInterferometer", "Reflect", "ShackHartmannSensor", "SphericalWavefront", "StableLaserResonator", "TransformationtoDoughnutMode", "TwoHoles", "UnstableLaserResonator", "UserDefinedFunctions", "YoungsExperiment", "ZernikeAberrations", "command-reference", "computerprac", "examples", "index", "install", "introduction", "manual", "resonator_geometric_optics", "support"], "filenames": ["2DAiryBeam.rst", "BesselBeamWithAnnularSlit.rst", "BesselBeamWithAxicon.rst", "CollimatingEdgeWaves.rst", "Diaprojector.rst", "DiffractionRoundHole.rst", "DoughnutModes.rst", "FabryPerot.rst", "FresnelDiffraction.rst", "FresnelZonePlate.rst", "GRINDemo.rst", "GRINYoung.rst", "HermiteGaussModes.rst", "InterferenceDoughnutCollinear.rst", "InterferenceDoughnutTilted.rst", "LaguerreGaussModes.rst", "LaserModeTransformer.rst", "MichelsonInterferometer.rst", "MultiHoleAndSlit.rst", "NewtonRings.rst", "PatternRecognition.rst", "PhaseRecoveryGerchbergSaxton.rst", "PoissonSpot.rst", "PoissonSpottoBesselBeam.rst", "PropagationLensLikeMedium.rst", "RadialShearInterferometer.rst", "Reflect.rst", "ShackHartmannSensor.rst", "SphericalWavefront.rst", "StableLaserResonator.rst", "TransformationtoDoughnutMode.rst", "TwoHoles.rst", "UnstableLaserResonator.rst", "UserDefinedFunctions.rst", "YoungsExperiment.rst", "ZernikeAberrations.rst", "command-reference.rst", "computerprac.rst", "examples.rst", "index.rst", "install.rst", "introduction.rst", "manual.rst", "resonator_geometric_optics.rst", "support.rst"], "titles": ["<span class=\"section-number\">7.3.1. </span>Generation of a 2-dimensional Airy beam from a Gaussian laser beam.", "<span class=\"section-number\">7.4.1.2. </span>Generation of a Bessel beam with a lens and an annular slit.", "<span class=\"section-number\">7.4.2. </span>Generation of a Bessel beam with an axicon.", "<span class=\"section-number\">7.4.1.1. </span>Collimating the edge waves with a lens.", "<span class=\"section-number\">9. </span>Diaprojector (In Dutch).", "<span class=\"section-number\">7.2.1. </span>Diffraction from a circular aperture.", "<span class=\"section-number\">7.5.3. </span>Laguerre doughnut modes.", "<span class=\"section-number\">8.3.5. </span>Fabry Perot interferometer.", "<span class=\"section-number\">8.3.6. </span>Fresnel diffraction.", "<span class=\"section-number\">7.2.3. </span>Fresnel zone plate.", "<span class=\"section-number\">7.8.1. </span>Demonstration of a GRIN lens.", "<span class=\"section-number\">7.8.2. </span>Young\u2019s experiment with GRIN lens.", "<span class=\"section-number\">7.5.1. </span>Hermite Gauss modes.", "<span class=\"section-number\">7.1.4. </span>Interference of a doughnut laser beam: collinear beams.", "<span class=\"section-number\">7.1.5. </span>Interference of a doughnut laser beam: tilted beams.", "<span class=\"section-number\">7.5.2. </span>Laguerre Gauss modes.", "<span class=\"section-number\">7.5.7. </span>Transformation of high order Gauss modes.", "<span class=\"section-number\">7.1.2. </span>Michelson interferometer.", "<span class=\"section-number\">7.1.3. </span>Multi- holes and slits.", "<span class=\"section-number\">8.3.4. </span>Newton rings.", "<span class=\"section-number\">7.9.1. </span>Pattern recognition.", "<span class=\"section-number\">7.6.1. </span>Phase recovery using Gerchberg Saxton iteration.", "<span class=\"section-number\">7.2.2. </span>Spot of Poisson.", "<span class=\"section-number\">7.4.1. </span>From Poisson spot to a non-diffractive Bessel beam.", "<span class=\"section-number\">7.8.3. </span>Propagation in a lens-like, absorptive medium.", "<span class=\"section-number\">7.7.2. </span>Radial shear interferometer.", "<span class=\"section-number\">8.3.2. </span>Internal reflection and refraction.", "<span class=\"section-number\">7.7.3. </span>Shack Hartmann sensor.", "<span class=\"section-number\">8.3.1. </span>Spherical wavefront.", "<span class=\"section-number\">7.5.4. </span>Laser simulation, stable laser resonator.", "<span class=\"section-number\">7.5.6. </span>Transformation of a fundamental Gauss mode into a doughnut mode with a spiral phase plate.", "<span class=\"section-number\">8.3.3. </span>Two holes interferometer.", "<span class=\"section-number\">7.5.5. </span>Unstable laser resonator.", "<span class=\"section-number\">5. </span>User defined functions.", "<span class=\"section-number\">7.1.1. </span>Young\u2019s 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"bepaling-van-de-plaats-van-het-scherm"]], "Uitvoering van het afbeeldingsexperiment (Niveau 2, voortgezet onderwijs, HBO, 1e jaars universiteit).": [[4, "uitvoering-van-het-afbeeldingsexperiment-niveau-2-voortgezet-onderwijs-hbo-1e-jaars-universiteit"]], "Stap voor stap uitvoering van het experiment.": [[4, "stap-voor-stap-uitvoering-van-het-experiment"]], "Meetfouten.": [[4, "meetfouten"]], "Appendix 1.": [[4, "appendix-1"]], "Laguerre doughnut modes.": [[6, "laguerre-doughnut-modes"]], "Fabry Perot interferometer.": [[7, "fabry-perot-interferometer"]], "Measurement of the distance between two wavelengths.": [[7, "measurement-of-the-distance-between-two-wavelengths"]], "Measurement of the refractive index of a medium.": [[7, "measurement-of-the-refractive-index-of-a-medium"]], "Questions about the Fabry Perot interferometer.": [[7, "questions-about-the-fabry-perot-interferometer"]], "Fresnel diffraction.": [[8, "fresnel-diffraction"]], "Fresnel diffraction, plane wavefront.": [[8, "fresnel-diffraction-plane-wavefront"]], "Fresnel diffraction, spherical wavefront.": [[8, "fresnel-diffraction-spherical-wavefront"]], "Questions about Fresnel diffraction.": [[8, "questions-about-fresnel-diffraction"]], "Fresnel zone plate.": [[9, "fresnel-zone-plate"]], "Demonstration of a GRIN lens.": [[10, "demonstration-of-a-grin-lens"]], "Interference of a doughnut laser beam: collinear beams.": [[13, "interference-of-a-doughnut-laser-beam-collinear-beams"]], "Interference of a doughnut laser beam: tilted beams.": [[14, "interference-of-a-doughnut-laser-beam-tilted-beams"]], "Laguerre Gauss modes.": [[15, "laguerre-gauss-modes"]], "Transformation of high order Gauss modes.": [[16, "transformation-of-high-order-gauss-modes"]], "From Hermite to Laguerre.": [[16, "from-hermite-to-laguerre"]], "From Laguerre to Hermite.": [[16, "from-laguerre-to-hermite"]], "Multi- holes and slits.": [[18, "multi-holes-and-slits"]], "Newton rings.": [[19, "newton-rings"]], "Measurement of the radius of curvature of the lens.": [[19, "measurement-of-the-radius-of-curvature-of-the-lens"]], "Measurement of the refractive index of the film between the lens and the flat plate.": [[19, "measurement-of-the-refractive-index-of-the-film-between-the-lens-and-the-flat-plate"]], "Questions about Newton rings.": [[19, "questions-about-newton-rings"]], "Pattern recognition.": [[20, "pattern-recognition"]], "Phase recovery using Gerchberg Saxton iteration.": [[21, "phase-recovery-using-gerchberg-saxton-iteration"]], "Spot of Poisson.": [[22, "spot-of-poisson"]], "From Poisson spot to a non-diffractive Bessel beam.": [[23, "from-poisson-spot-to-a-non-diffractive-bessel-beam"]], "Propagation in a lens-like, absorptive medium.": [[24, "propagation-in-a-lens-like-absorptive-medium"]], "Radial shear interferometer.": [[25, "radial-shear-interferometer"]], "Internal reflection and refraction.": [[26, "internal-reflection-and-refraction"]], "Measurement of the refractive index of the medium.": [[26, "measurement-of-the-refractive-index-of-the-medium"]], "Questions.": [[26, "questions"]], "Shack Hartmann sensor.": [[27, "shack-hartmann-sensor"]], "Spherical wavefront.": [[28, "spherical-wavefront"]], "Irradiance dependency of a spherical wavefront.": [[28, "irradiance-dependency-of-a-spherical-wavefront"]], "Questions about the spherical wavefront.": [[28, "questions-about-the-spherical-wavefront"]], "Laser simulation, stable laser resonator.": [[29, "laser-simulation-stable-laser-resonator"]], "Transformation of a fundamental Gauss mode into a doughnut mode with a spiral phase plate.": [[30, "transformation-of-a-fundamental-gauss-mode-into-a-doughnut-mode-with-a-spiral-phase-plate"]], "Two holes interferometer.": [[31, "two-holes-interferometer"]], "Measurement of the wavelength.": [[31, "measurement-of-the-wavelength"]], "Measurement of the thickness of a thin film that covers one of the holes.": [[31, "measurement-of-the-thickness-of-a-thin-film-that-covers-one-of-the-holes"]], "Questions about Young\u2019s experiment.": [[31, "questions-about-young-s-experiment"]], "Unstable laser resonator.": [[32, "unstable-laser-resonator"]], "User defined functions.": [[33, "user-defined-functions"]], "User defined functions in a subdirectory of your Python scripts.": [[33, "user-defined-functions-in-a-subdirectory-of-your-python-scripts"]], "Make your functions part of your LightPipes for Python installation.": [[33, "make-your-functions-part-of-your-lightpipes-for-python-installation"]], "Your command should be an extension of LightPipes.": [[33, "your-command-should-be-an-extension-of-lightpipes"]], "Zernike aberrations.": [[35, "zernike-aberrations"]], "Command Reference.": [[36, "module-LightPipes"]], "Computer practical.": [[37, "computer-practical"]], "Introduction to computer practical.": [[37, "introduction-to-computer-practical"]], "Prepare your computer.": [[37, "prepare-your-computer"]], "Assignments.": [[37, "assignments"]], "Examples.": [[38, "examples"]], "Interference examples.": [[38, "interference-examples"]], "Diffraction examples.": [[38, "diffraction-examples"]], "Non-diffracting Airy beams.": [[38, "non-diffracting-airy-beams"]], "Non-diffractive Bessel beam.": [[38, "non-diffractive-bessel-beam"]], "Laser examples.": [[38, "laser-examples"]], "Phase recovery.": [[38, "phase-recovery"]], "Zernike aberration.": [[38, "zernike-aberration"]], "Graded index media GRIN.": [[38, "graded-index-media-grin"]], "Fourier optics.": [[38, "fourier-optics"]], "LightPipes for Python 2.1.5": [[39, "lightpipes-for-python-release"]], "contents:": [[39, "contents"]], "Installation.": [[40, "installation"]], "LightPipes  release notes.": [[40, "lightpipes-release-notes"]], "Known installation problems.": [[40, "known-installation-problems"]], "Using LightPipes with the pyFFTW package.": [[40, "using-lightpipes-with-the-pyfftw-package"]], "Introduction.": [[41, "introduction"]], "Credits.": [[41, "credits"]], "Gauss TEM00 mode described with geometric optics.": [[43, "gauss-tem00-mode-described-with-geometric-optics"]], "ABCD matrix formulation to describe the propagation of rays.": [[43, "abcd-matrix-formulation-to-describe-the-propagation-of-rays"]], "Eigen values and eigen vectors (eigen rays)": [[43, "eigen-values-and-eigen-vectors-eigen-rays"]], "Collection of rays that can be confined to the resonator": [[43, "collection-of-rays-that-can-be-confined-to-the-resonator"]], "Second moments": [[43, "second-moments"]], "Wavefront radius": [[43, "wavefront-radius"]], "Brightness": [[43, "brightness"]], "Get the constant c": [[43, "get-the-constant-c"]], "Support.": [[44, "support"]], "Diffraction from a circular aperture.": [[5, "diffraction-from-a-circular-aperture"]], "Hermite Gauss modes.": [[12, "hermite-gauss-modes"]], "Young\u2019s experiment with GRIN lens.": [[11, "young-s-experiment-with-grin-lens"]], "Young\u2019s experiment.": [[34, "young-s-experiment"]], "Michelson interferometer.": [[17, "michelson-interferometer"]], "Manual.": [[42, "manual"]], "First steps.": [[42, "first-steps"]], "Starting the calculations.": [[42, "starting-the-calculations"]], "The dimensions of structures.": [[42, "the-dimensions-of-structures"]], "Apertures and screens.": [[42, "apertures-and-screens"]], "Graphing and visualisation.": [[42, "graphing-and-visualisation"]], "Free space propagation.": [[42, "free-space-propagation"]], "FFT propagation (spectral method).": [[42, "fft-propagation-spectral-method"]], "Direct integration as a convolution: FFT approach.": [[42, "direct-integration-as-a-convolution-fft-approach"]], "Direct integration.": [[42, "direct-integration"]], "Finite difference method.": [[42, "finite-difference-method"]], "Splitting and mixing beams.": [[42, "splitting-and-mixing-beams"]], "Interpolation.": [[42, "interpolation"]], "Phase and intensity filters.": [[42, "phase-and-intensity-filters"]], "Zernike polynomials.": [[42, "zernike-polynomials"]], "Spherical coordinates.": [[42, "spherical-coordinates"]], "User defined phase and intensity filters.": [[42, "user-defined-phase-and-intensity-filters"]], "Random filters.": [[42, "random-filters"]], "FFT and spatial filters.": [[42, "fft-and-spatial-filters"]], "Laser amplifier.": [[42, "laser-amplifier"]], "Diagnostics.": [[42, "diagnostics"]], "Strehl ratio.": [[42, "strehl-ratio"]], "Beam power.": [[42, "beam-power"]], "Field normalization.": [[42, "field-normalization"]], "Centroid.": [[42, "centroid"]], "Beam width.": [[42, "beam-width"]], "D4\\sigma": [[42, "d4-sigma"]], "References": [[42, "references"]]}, "indexentries": {"beammix": [[17, "index-0"]], "begin": [[17, "index-0"], [38, "index-0"], [38, "index-1"], [38, "index-2"]], "forvard": [[17, "index-0"], [38, "index-0"], [38, "index-1"], [38, "index-2"], [42, "index-0"]], "gausshermite": [[17, "index-0"]], "intattenuator": [[17, "index-0"]], "intensity": [[17, "index-0"], [38, "index-0"], [38, "index-1"], [38, "index-2"]], "lens": [[17, "index-0"], [38, "index-1"]], "michelson": [[17, "index-0"]], "tilt": [[17, "index-0"]], "interferometer": [[17, "index-0"]], "1d; 2d": [[38, "index-0"]], "airy beam": [[38, "index-0"]], "annular slit": [[38, "index-0"]], "arago spot": [[38, "index-0"]], "axicon": [[38, "index-0"]], "bessel beam": [[38, "index-0"]], "circularaperture": [[38, "index-0"]], "circularscreen": [[38, "index-0"]], "fourier optics": [[38, "index-5"]], "fresnel": [[38, "index-0"], [42, "index-0"]], "grin lens": [[38, "index-4"]], "gain": [[38, "index-1"]], "gauss mode": [[38, "index-1"]], "graded index media grin": [[38, "index-4"]], "hermite gauss mode": [[38, "index-1"]], "interpol": [[38, "index-2"]], "laguerre gauss mode": [[38, "index-1"]], "lenslike medium": [[38, "index-4"]], "pattern recognition": [[38, "index-5"]], "phase": [[38, "index-2"]], "phaseunwrap": [[38, "index-2"]], "poisson spot": [[38, "index-0"]], "subintensity": [[38, "index-2"]], "zernike": [[38, "index-3"]], "zernike aberration": [[38, "index-3"]], "doughnut mode": [[38, "index-1"]], "laser": [[38, "index-1"]], "phase recovery": [[38, "index-2"]], "resonator": [[38, "index-1"]], "stable laser resonator": [[38, "index-1"]], "unstable laser resonator": [[38, "index-1"]], "forward": [[42, "index-0"]], "steps": [[42, "index-0"]]}})
\ No newline at end of file
diff --git a/sphinx-sources/Examples/Interference/Michelson-with-aberration.py b/sphinx-sources/Examples/Interference/Michelson-with-aberration.py
index 160da771..5c9eedf0 100644
--- a/sphinx-sources/Examples/Interference/Michelson-with-aberration.py
+++ b/sphinx-sources/Examples/Interference/Michelson-with-aberration.py
@@ -5,16 +5,18 @@
 wavelength=632.8*nm #wavelength of HeNe laser
 size=15*mm # size of the grid
 N=500 # number (NxN) of grid pixels
-R=7*mm # laser beam radius
+R=9*mm # laser beam radius
 z1=8*cm # length of arm 1
 z2=7*cm # length of arm 2
 z3=3*cm # distance laser to beamsplitter
 z4=5*cm # distance beamsplitter to screen
 Rbs=0.5 # reflection beam splitter
-tx=0*mrad; ty=0.0*mrad # tilt of mirror 1
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+zernabb = 7 # Zernike aberration (7 = vertical coma)
 
 
-#Generate a weak converging laser beam using a weak positive lens:
+
+#Generate a laser beam:
 F=Begin(size,wavelength,N)
 F=GaussBeam(F, R)
 
@@ -27,7 +29,8 @@
 
 #Introduce aberration and propagate back to the beamsplitter:
 F2=Tilt(tx,ty,F2)
-F2=Zernike(F2, 3, -1, 6*mm, A=1.03*wavelength)
+(mz, nz) = noll_to_zern(zernabb)
+F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
 F2=Forvard(z2,F2)
 F2=IntAttenuator(Rbs,F2)
 
@@ -41,5 +44,28 @@
 F=Forvard(z4,F)
 I=Intensity(1,F)
 
-plt.imshow(I,cmap='jet'); plt.axis('off');plt.title('intensity pattern')
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with Zernike'+ '\n' + 'aberration in one arm' + '\n'
+        
+s2 =    r'Michelson-with-aberration.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
 plt.show()
diff --git a/sphinx-sources/Examples/Interference/Michelson-with-lens.py b/sphinx-sources/Examples/Interference/Michelson-with-lens.py
new file mode 100644
index 00000000..c8c5c64c
--- /dev/null
+++ b/sphinx-sources/Examples/Interference/Michelson-with-lens.py
@@ -0,0 +1,67 @@
+#! /usr/bin/env python
+from LightPipes import *
+import matplotlib.pyplot as plt
+
+wavelength=632.8*nm #wavelength of HeNe laser
+size=15*mm # size of the grid
+N=500 # number (NxN) of grid pixels
+R=9*mm # laser beam radius
+z1=8*cm # length of arm 1
+z2=7*cm # length of arm 2
+z3=3*cm # distance laser to beamsplitter
+z4=5*cm # distance beamsplitter to screen
+Rbs=0.5 # reflection beam splitter
+tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+f_lens = 500*cm
+
+#Generate a laser beam:
+F=Begin(size,wavelength,N)
+F=GaussBeam(F, R)
+
+#Propagate to the beamsplitter:
+F=Forvard(z3,F)
+
+#Split the beam and propagate to mirror #2:
+F2=IntAttenuator(1-Rbs,F)
+F2=Forvard(z2,F2)
+
+#Introduce aberration and propagate back to the beamsplitter:
+F2=Tilt(tx,ty,F2)
+F2 = Lens(f_lens, F2)
+F2=Forvard(z2,F2)
+F2=IntAttenuator(Rbs,F2)
+
+#Split off the second beam and propagate to- and back from the mirror #1:
+F10=IntAttenuator(Rbs,F)
+F1=Forvard(z1*2,F10)
+F1=IntAttenuator(1-Rbs,F1)
+
+#Recombine the two beams and propagate to the screen:
+F=BeamMix(F1,F2)
+F=Forvard(z4,F)
+I=Intensity(1,F)
+
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with a lens in one arm' + '\n'
+s2 =    r'Michelson.py'+ '\n\n'\
+        f'size = {size/mm:4.2f} mm' + '\n'\
+        f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+        f'N = {N:d}' + '\n'\
+        f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+        f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+        f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+        f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+        f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+        r'$f_{lens}$ = ' + f'{f_lens/cm:4.2f} cm focal length of the lens in arm 2' + '\n\n'\
+        r'${\copyright}$ Fred van Goor, June 2020'
+        
+fig=plt.figure(figsize=(6,9));
+ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
+
+plt.show()
diff --git a/sphinx-sources/Examples/Interference/Michelson.py b/sphinx-sources/Examples/Interference/Michelson.py
index 822ea75d..d5000005 100644
--- a/sphinx-sources/Examples/Interference/Michelson.py
+++ b/sphinx-sources/Examples/Interference/Michelson.py
@@ -11,41 +11,37 @@
 z3=3*cm # distance laser to beamsplitter
 z4=5*cm # distance beamsplitter to screen
 Rbs=0.5 # reflection beam splitter
-tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
-zernabb = 7 # Zernike aberration (7 = vertical coma)
+tx=0.5*mrad; ty=0.0*mrad # tilt of mirror 1
 
-print(ZernikeName(zernabb))
-print(noll_to_zern(zernabb))
-
-#Generate a weak diverging laser beam using a weak negative lens:
+#Generate a laser beam:
 F=Begin(size,wavelength,N)
 F=GaussBeam(F, R)
-#F=Lens(F,-0.5*m)
+
 #Propagate to the beamsplitter:
-F=Forvard(z3,F)
+F=Forvard(F,z3)
 
 #Split the beam and propagate to mirror #2:
-F2=IntAttenuator(1-Rbs,F)
-F2=Forvard(z2,F2)
+F2=IntAttenuator(F, 1-Rbs)
+F2=Forvard(F2,z2)
 
 #Introduce aberration and propagate back to the beamsplitter:
-F2=Tilt(tx,ty,F2)
-(mz, nz) = noll_to_zern(zernabb)
-F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
-F2=Forvard(z2,F2)
-F2=IntAttenuator(Rbs,F2)
+F2=Tilt(F2,tx,ty)
+F2=Forvard(F2,z2)
+F2=IntAttenuator(F2,Rbs)
 
 #Split off the second beam and propagate to- and back from the mirror #1:
-F10=IntAttenuator(Rbs,F)
-F1=Forvard(z1*2,F10)
-F1=IntAttenuator(1-Rbs,F1)
+F10=IntAttenuator(F,Rbs)
+F1=Forvard(F10,z1*2)
+F1=IntAttenuator(F1,1-Rbs)
 
 #Recombine the two beams and propagate to the screen:
 F=BeamMix(F1,F2)
-F=Forvard(z4,F)
-I=Intensity(1,F)
+F=Forvard(F,z4)
+I=Intensity(F)
 
-s1 =    r'LightPipes for Python ' + LPversion + '\n'
+#Present the results:
+s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+        r'Michelson interferometer with mirror tilt in one arm' + '\n'
 s2 =    r'Michelson.py'+ '\n\n'\
         f'size = {size/mm:4.2f} mm' + '\n'\
         f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
@@ -55,19 +51,15 @@
         f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
         f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
         f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
-        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
-        f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n'\
+        f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n\n'\
         r'${\copyright}$ Fred van Goor, June 2020'
-
-fig=plt.figure(figsize=(12,12));
+        
+fig=plt.figure(figsize=(6,9));
 ax1 = fig.add_subplot(311);ax1.axis('off')
+ax2 = fig.add_subplot(312);ax2.axis('off')
+ax3 = fig.add_subplot(313);ax3.axis('off')
+ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+ax3.text(0.0,0.50,s2)
 
-ax2 = fig.add_subplot(312);ax2.axis('on')
-ax3 = fig.add_subplot(313);ax3.axis('on')
-ax1.imshow(I,cmap='rainbow');ax1.set_title('intensity pattern')
-
-
-ax2.text(0.0,1.0,s1,fontsize=12, fontweight='bold')
-ax3.text(0.0,0.5,s2)
-#plt.imshow(I,cmap='jet'); plt.axis('off');plt.title('intensity pattern')
 plt.show()
diff --git a/sphinx-sources/MichelsonInterferometer.rst b/sphinx-sources/MichelsonInterferometer.rst
index dc189906..6e79ac65 100644
--- a/sphinx-sources/MichelsonInterferometer.rst
+++ b/sphinx-sources/MichelsonInterferometer.rst
@@ -7,6 +7,74 @@ In a Michelson interferometer an incoming wave is split in two by a beamsplitter
 
 In this experiment we demonstrate a Michelson interferometer with unequal mirror distances and one of the mirrors tilted.
 
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.5*mrad; ty=0.0*mrad # tilt of mirror 1
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(F,z3)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(F, 1-Rbs)
+    F2=Forvard(F2,z2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(F2,tx,ty)
+    F2=Forvard(F2,z2)
+    F2=IntAttenuator(F2,Rbs)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(F,Rbs)
+    F1=Forvard(F10,z1*2)
+    F1=IntAttenuator(F1,1-Rbs)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(F,z4)
+    I=Intensity(F)
+
+    #Present the results:
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with mirror tilt in one arm' + '\n'
+    s2 =    r'Michelson.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
 .. Index::
     Michelson
     interferometer
@@ -21,16 +89,159 @@ In this experiment we demonstrate a Michelson interferometer with unequal mirror
 
 .. plot:: ./Examples/Interference/Michelson.py
 
+----
+
 You can modify the source Python script by, for example, insertion of a lens in one of the arms and remove the mirror tilt. The resulting interference pattern will be a set of concentric circles.
 
-.. figure::  _static/MichelsonWithLens.png
-    :align:   center
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+    f_lens = 500*cm
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(z3,F)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(1-Rbs,F)
+    F2=Forvard(z2,F2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(tx,ty,F2)
+    F2 = Lens(f_lens, F2)
+    F2=Forvard(z2,F2)
+    F2=IntAttenuator(Rbs,F2)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(Rbs,F)
+    F1=Forvard(z1*2,F10)
+    F1=IntAttenuator(1-Rbs,F1)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(z4,F)
+    I=Intensity(1,F)
+
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with a lens in one arm' + '\n'
+    s2 =    r'Michelson.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+            r'$f_{lens}$ = ' + f'{f_lens/cm:4.2f} cm focal length of the lens in arm 2' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
+
+.. plot:: ./Examples/Interference/Michelson-with-lens.py
+
+----
 
-    *Interference pattern when a f=100cm lens is inserted in one of the arms and with the mirror tilt removed.*
-    
 Also the Michelson interferometer can be used to study the effect of phase aberrations. Place a phase aberrator, for example a Zernike aberration, in one of the arms.
 
-.. figure::  _static/MichelsonWithAberration.png
-    :align:   center
-    
-    *Interference pattern when aberration is inserted in one of the arms.*
+.. code-block:: python
+
+    #! /usr/bin/env python
+    from LightPipes import *
+    import matplotlib.pyplot as plt
+
+    wavelength=632.8*nm #wavelength of HeNe laser
+    size=15*mm # size of the grid
+    N=500 # number (NxN) of grid pixels
+    R=9*mm # laser beam radius
+    z1=8*cm # length of arm 1
+    z2=7*cm # length of arm 2
+    z3=3*cm # distance laser to beamsplitter
+    z4=5*cm # distance beamsplitter to screen
+    Rbs=0.5 # reflection beam splitter
+    tx=0.0*mrad; ty=0.0*mrad # tilt of mirror 1
+    zernabb = 7 # Zernike aberration (7 = vertical coma)
+
+
+
+    #Generate a laser beam:
+    F=Begin(size,wavelength,N)
+    F=GaussBeam(F, R)
+
+    #Propagate to the beamsplitter:
+    F=Forvard(z3,F)
+
+    #Split the beam and propagate to mirror #2:
+    F2=IntAttenuator(1-Rbs,F)
+    F2=Forvard(z2,F2)
+
+    #Introduce aberration and propagate back to the beamsplitter:
+    F2=Tilt(tx,ty,F2)
+    (mz, nz) = noll_to_zern(zernabb)
+    F2=Zernike(F2, mz, nz, 6*mm, A=1.03*wavelength)
+    F2=Forvard(z2,F2)
+    F2=IntAttenuator(Rbs,F2)
+
+    #Split off the second beam and propagate to- and back from the mirror #1:
+    F10=IntAttenuator(Rbs,F)
+    F1=Forvard(z1*2,F10)
+    F1=IntAttenuator(1-Rbs,F1)
+
+    #Recombine the two beams and propagate to the screen:
+    F=BeamMix(F1,F2)
+    F=Forvard(z4,F)
+    I=Intensity(1,F)
+
+    s1 =    r'LightPipes for Python ' + LPversion + '\n\n'\
+            r'Michelson interferometer with Zernike'+ '\n' + 'aberration in one arm' + '\n'
+            
+    s2 =    r'Michelson-with-aberration.py'+ '\n\n'\
+            f'size = {size/mm:4.2f} mm' + '\n'\
+            f'$\\lambda$ = {wavelength/um:4.2f} $\\mu$m' + '\n'\
+            f'N = {N:d}' + '\n'\
+            f'R = {R/mm:4.2f} mm beam radius of the laser' + '\n'\
+            f'z1 = {z1/mm:4.2f} mm length of arm 1' + '\n'\
+            f'z2 = {z2/mm:4.2f} mm length of arm 2' + '\n'\
+            f'z3 = {z3/mm:4.2f} mm distance from the laser to the beam splitter' + '\n'\
+            f'z4 = {z4/mm:4.2f} mm distance from the beam splitter to the screen' + '\n'\
+            f'tx, ty = {tx/mrad:4.2f}, {ty/mrad:4.2f} mrad tilt of mirror 2' + '\n'\
+            f'Zernike aberration = {noll_to_zern(zernabb)}, {ZernikeName(zernabb)}' + '\n\n'\
+            r'${\copyright}$ Fred van Goor, June 2020'
+            
+    fig=plt.figure(figsize=(6,9));
+    ax1 = fig.add_subplot(311);ax1.axis('off')
+    ax2 = fig.add_subplot(312);ax2.axis('off')
+    ax3 = fig.add_subplot(313);ax3.axis('off')
+    ax1.imshow(I,cmap='jet');ax1.set_title('intensity pattern')
+    ax2.text(0.0,0.6,s1,fontsize=12, fontweight='bold')
+    ax3.text(0.0,0.50,s2)
+
+    plt.show()
+
+.. plot:: ./Examples/Interference/Michelson-with-aberration.py
diff --git a/sphinx-sources/conf.py b/sphinx-sources/conf.py
index 70491388..44044a57 100644
--- a/sphinx-sources/conf.py
+++ b/sphinx-sources/conf.py
@@ -40,6 +40,7 @@
 #    'rst2pdf.pdfbuilder',
 #    'sphinxcontrib.fulltoc',
 ]
+
 numfig = False
 # Add any paths that contain templates here, relative to this directory.
 templates_path = ['_templates']