changed Michelson example

opticspy · Aug 6, 2024 · 34e2254 · 34e2254
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diff --git 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
@@ -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
@@ -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
diff --git 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" />
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+      <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
@@ -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>
 

diff --git a/docs/_downloads/008dfd6ddd9c272d179b4e883bbfd226/unstable_resonator_01.pdf b/docs/_downloads/008dfd6ddd9c272d179b4e883bbfd226/unstable_resonator_01.pdf
diff --git a/docs/_downloads/0152ed12e42a1963f72f9660fe9c37a1/Michelson-with-lens.hires.png b/docs/_downloads/0152ed12e42a1963f72f9660fe9c37a1/Michelson-with-lens.hires.png
diff --git a/docs/_downloads/05cf9e88fd778efed44b463299901cb1/FocLens.pdf b/docs/_downloads/05cf9e88fd778efed44b463299901cb1/FocLens.pdf
diff --git a/docs/_downloads/089d13c0fc4dc38e28bae9da6de92712/Forvard6.pdf b/docs/_downloads/089d13c0fc4dc38e28bae9da6de92712/Forvard6.pdf
diff --git a/docs/_downloads/0a99f5525afeb4c341e40959c957c6b4/BesselAxicon_00_00.pdf b/docs/_downloads/0a99f5525afeb4c341e40959c957c6b4/BesselAxicon_00_00.pdf
diff --git a/docs/_downloads/0de26861a016bc75fafe56c12d52dcac/ZonePlate.pdf b/docs/_downloads/0de26861a016bc75fafe56c12d52dcac/ZonePlate.pdf
diff --git a/docs/_downloads/101b4acdae0151622ca5580ee5f1db73/2DAiryBeam_00.pdf b/docs/_downloads/101b4acdae0151622ca5580ee5f1db73/2DAiryBeam_00.pdf
diff --git a/docs/_downloads/125b18e622cc6f96b458689fe3670571/BesselAnnularSlit3_01_00.pdf b/docs/_downloads/125b18e622cc6f96b458689fe3670571/BesselAnnularSlit3_01_00.pdf
diff --git a/docs/_downloads/1328fab0bee4bd0d6429b498879f3dca/Shack_HartmannDemoPlot3.pdf b/docs/_downloads/1328fab0bee4bd0d6429b498879f3dca/Shack_HartmannDemoPlot3.pdf
diff --git a/docs/_downloads/1329656b039bc8544c1a4e6070ff1149/plotresults_00_00.pdf b/docs/_downloads/1329656b039bc8544c1a4e6070ff1149/plotresults_00_00.pdf
diff --git a/docs/_downloads/16828266d130f658022f9045b3223280/D4sigma.pdf b/docs/_downloads/16828266d130f658022f9045b3223280/D4sigma.pdf
diff --git a/docs/_downloads/1822297a86a45668cab7fb47e85db116/Tilt.pdf b/docs/_downloads/1822297a86a45668cab7fb47e85db116/Tilt.pdf
diff --git a/docs/_downloads/1929af0d8e65afe4be017a384ef9eb3e/LensLikeMedium.pdf b/docs/_downloads/1929af0d8e65afe4be017a384ef9eb3e/LensLikeMedium.pdf
diff --git a/docs/_downloads/1972a0e5d8847de240fc59c43a578998/MyLightPipesFunctions.pdf b/docs/_downloads/1972a0e5d8847de240fc59c43a578998/MyLightPipesFunctions.pdf
diff --git a/docs/_downloads/1ad6c474227b82b1f25696f31ab7cf4e/Poisson.pdf b/docs/_downloads/1ad6c474227b82b1f25696f31ab7cf4e/Poisson.pdf
diff --git a/docs/_downloads/1ba3e5c2aaabaa54774559af55d494cc/Forvard4.pdf b/docs/_downloads/1ba3e5c2aaabaa54774559af55d494cc/Forvard4.pdf
diff --git a/docs/_downloads/28bacada41e6624f14f31d0383de7af0/diaprojector.pdf b/docs/_downloads/28bacada41e6624f14f31d0383de7af0/diaprojector.pdf
diff --git a/docs/_downloads/2b445da2c111c3ac3bbd8f7a23acb38a/MultiHole.pdf b/docs/_downloads/2b445da2c111c3ac3bbd8f7a23acb38a/MultiHole.pdf
diff --git a/docs/_downloads/2d751b27ee7a3b2a91fa8e453f338e04/unstable_resonator_00.png b/docs/_downloads/2d751b27ee7a3b2a91fa8e453f338e04/unstable_resonator_00.png
diff --git a/docs/_downloads/2dacae935448811268ef8ffa9dc26a3f/LensFresnel_Convert_f100cm_01.pdf b/docs/_downloads/2dacae935448811268ef8ffa9dc26a3f/LensFresnel_Convert_f100cm_01.pdf
diff --git a/docs/_downloads/36619480059708bd051081f8ce94f039/Doughnut_tilt.pdf b/docs/_downloads/36619480059708bd051081f8ce94f039/Doughnut_tilt.pdf
diff --git a/docs/_downloads/4637f227536e988080a4a5ea8af317b2/BesselAnnularSlit2_00_00.pdf b/docs/_downloads/4637f227536e988080a4a5ea8af317b2/BesselAnnularSlit2_00_00.pdf
diff --git a/docs/_downloads/46f8bfe8dac94f78ef9baaa20f2db0da/AiryBeam2D.pdf b/docs/_downloads/46f8bfe8dac94f78ef9baaa20f2db0da/AiryBeam2D.pdf
diff --git a/docs/_downloads/47381e3faaf429f41253847e6f251c97/GaussLaguerre_doughnut.pdf b/docs/_downloads/47381e3faaf429f41253847e6f251c97/GaussLaguerre_doughnut.pdf
diff --git a/docs/_downloads/47da3727a7044f58c76329de3d2c1472/AiryBeam1D.pdf b/docs/_downloads/47da3727a7044f58c76329de3d2c1472/AiryBeam1D.pdf
diff --git a/docs/_downloads/48c3a045adf9e61ae0e9446a4a60b0a1/Interpol_00_00.pdf b/docs/_downloads/48c3a045adf9e61ae0e9446a4a60b0a1/Interpol_00_00.pdf
diff --git a/docs/_downloads/4a67d7d2e19118a1df9b40464099c7aa/TwoSlitsTilt2.pdf b/docs/_downloads/4a67d7d2e19118a1df9b40464099c7aa/TwoSlitsTilt2.pdf
diff --git a/docs/_downloads/4a71de1ab14450463ea4a7d2e8dec87b/Young.pdf b/docs/_downloads/4a71de1ab14450463ea4a7d2e8dec87b/Young.pdf
diff --git a/docs/_downloads/4aa68c05cc70dd10432c0da1de364f32/unstable_resonator_00.hires.png b/docs/_downloads/4aa68c05cc70dd10432c0da1de364f32/unstable_resonator_00.hires.png
diff --git a/docs/_downloads/4b423a35101f428887954e1c503b30c9/BesselAnnularSlit1_00_00.pdf b/docs/_downloads/4b423a35101f428887954e1c503b30c9/BesselAnnularSlit1_00_00.pdf
diff --git a/docs/_downloads/4bb2aaa165d360076672def794f0df76/BesselAnnularSlit2_01_00.pdf b/docs/_downloads/4bb2aaa165d360076672def794f0df76/BesselAnnularSlit2_01_00.pdf
diff --git a/docs/_downloads/4caabc921cb8c0f4988d241fdecd1d66/GRIN_Young.pdf b/docs/_downloads/4caabc921cb8c0f4988d241fdecd1d66/GRIN_Young.pdf
diff --git a/docs/_downloads/4f0dcdfff00894e2ebc80ed8b1db680e/unstable_resonator_02.pdf b/docs/_downloads/4f0dcdfff00894e2ebc80ed8b1db680e/unstable_resonator_02.pdf
diff --git a/docs/_downloads/52c8d6c3500c49bd75d6a23d9d347b43/AperturesandScreens1.pdf b/docs/_downloads/52c8d6c3500c49bd75d6a23d9d347b43/AperturesandScreens1.pdf
diff --git a/docs/_downloads/5b281374a238f6c6eaace73f6af4ebd3/unstable_resonator_03.pdf b/docs/_downloads/5b281374a238f6c6eaace73f6af4ebd3/unstable_resonator_03.pdf
diff --git a/docs/_downloads/5c4de242ac25f5ea2ff621b0a7a9a708/unstable_resonator_01.png b/docs/_downloads/5c4de242ac25f5ea2ff621b0a7a9a708/unstable_resonator_01.png
diff --git a/docs/_downloads/5f2a3d571bcf1df70693d20ce287aac8/Michelson-with-lens.png b/docs/_downloads/5f2a3d571bcf1df70693d20ce287aac8/Michelson-with-lens.png
diff --git a/docs/_downloads/6455efd81c11199846dbc78f5770b1fd/2DAiryBeam_01.pdf b/docs/_downloads/6455efd81c11199846dbc78f5770b1fd/2DAiryBeam_01.pdf
diff --git a/docs/_downloads/653f7b9fb2ad9318a8265875eb112270/Forvard2.pdf b/docs/_downloads/653f7b9fb2ad9318a8265875eb112270/Forvard2.pdf
diff --git a/docs/_downloads/6c697f6b614bbc0af33d23013d0526c1/rad_shear.pdf b/docs/_downloads/6c697f6b614bbc0af33d23013d0526c1/rad_shear.pdf
diff --git a/docs/_downloads/6d848fd639f18a9f48ef47617523fd79/unstable_resonator_03.png b/docs/_downloads/6d848fd639f18a9f48ef47617523fd79/unstable_resonator_03.png
diff --git a/docs/_downloads/722a8375241f5baec2512e3d683cd39b/Michelson-with-lens.py 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()
diff --git a/docs/_downloads/744416f3bcc63bbf4c2d71c83c920295/PatternRecognition.pdf b/docs/_downloads/744416f3bcc63bbf4c2d71c83c920295/PatternRecognition.pdf
diff --git a/docs/_downloads/78d27bb8d8b76fd583592635a89fd6ad/Michelson.png b/docs/_downloads/78d27bb8d8b76fd583592635a89fd6ad/Michelson.png
diff --git a/docs/_downloads/7d15307727e10f9683336cb5c8b62237/geometric_laser_plot_rays2.pdf b/docs/_downloads/7d15307727e10f9683336cb5c8b62237/geometric_laser_plot_rays2.pdf
diff --git a/docs/_downloads/7e74f8c5c0a93e440c02a259a069b0ca/Forvard5.pdf b/docs/_downloads/7e74f8c5c0a93e440c02a259a069b0ca/Forvard5.pdf
diff --git a/docs/_downloads/86c0be24940d8b3b57fee354ab37e21d/Strehl.pdf b/docs/_downloads/86c0be24940d8b3b57fee354ab37e21d/Strehl.pdf
diff --git a/docs/_downloads/8737952d173c532c7ff9ba16e501c610/geometric_laser_plot_rays.pdf b/docs/_downloads/8737952d173c532c7ff9ba16e501c610/geometric_laser_plot_rays.pdf
diff --git a/docs/_downloads/873d34d64e12db3c3a964afbb59fc332/CylindricalLens.pdf b/docs/_downloads/873d34d64e12db3c3a964afbb59fc332/CylindricalLens.pdf
diff --git a/docs/_downloads/88c8be203a0658392cd05aa60685426f/LensFresnel_Convert_f10cm_01.pdf b/docs/_downloads/88c8be203a0658392cd05aa60685426f/LensFresnel_Convert_f10cm_01.pdf
diff --git a/docs/_downloads/8b74481ef294a0ab84dd48a1f4c4c23d/BesselAnnularSlit1_01_00.pdf b/docs/_downloads/8b74481ef294a0ab84dd48a1f4c4c23d/BesselAnnularSlit1_01_00.pdf
diff --git a/docs/_downloads/8ce4713b2ac09a79f41dd90c24282c98/Michelson-with-aberration.pdf b/docs/_downloads/8ce4713b2ac09a79f41dd90c24282c98/Michelson-with-aberration.pdf
diff --git a/docs/_downloads/8cff8c1ef660ee71720619f89b779470/Shack_HartmannDemoPlot2.pdf b/docs/_downloads/8cff8c1ef660ee71720619f89b779470/Shack_HartmannDemoPlot2.pdf
diff --git 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()
diff --git a/docs/_downloads/8e9d5fef13364a604bc7c7a8872cd29f/BesselAnnularSlit3_00_00.pdf b/docs/_downloads/8e9d5fef13364a604bc7c7a8872cd29f/BesselAnnularSlit3_00_00.pdf
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diff --git a/docs/_downloads/9c4e888166b0e63544e5abd0a5e15402/Doughnut_collinear.pdf b/docs/_downloads/9c4e888166b0e63544e5abd0a5e15402/Doughnut_collinear.pdf
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diff --git a/docs/_downloads/9fa1c9d3e626a8619a390446a67d369f/subintphase2.pdf b/docs/_downloads/9fa1c9d3e626a8619a390446a67d369f/subintphase2.pdf
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diff --git a/docs/_downloads/a495bb86f9ae7d0816eb946056fe7bba/RoundHole.pdf b/docs/_downloads/a495bb86f9ae7d0816eb946056fe7bba/RoundHole.pdf
diff --git a/docs/_downloads/a5f13f739b04af91ee03a6fca2f496fc/Zernike.pdf b/docs/_downloads/a5f13f739b04af91ee03a6fca2f496fc/Zernike.pdf
diff --git a/docs/_downloads/a8b2af57577934761a3fb3ddd235f7b2/Michelson.hires.png b/docs/_downloads/a8b2af57577934761a3fb3ddd235f7b2/Michelson.hires.png
diff --git a/docs/_downloads/ae4f80815e49e0eb62afac867cb53e20/AperturesandScreens2.pdf b/docs/_downloads/ae4f80815e49e0eb62afac867cb53e20/AperturesandScreens2.pdf
diff --git a/docs/_downloads/ae71177a83317cd5339787a1561145ad/Michelson-with-aberration.py 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()
diff --git a/docs/_downloads/b1ae9dda9a2650455678ac3db20ef5a9/Michelson-with-aberration.png b/docs/_downloads/b1ae9dda9a2650455678ac3db20ef5a9/Michelson-with-aberration.png
diff --git a/docs/_downloads/b840b6831c9662c3978f75bdb3d26173/unstable_resonator_00.pdf b/docs/_downloads/b840b6831c9662c3978f75bdb3d26173/unstable_resonator_00.pdf
diff --git a/docs/_downloads/b8c313d9c0dafd32f19df75088ec126a/GRIN_demo.pdf b/docs/_downloads/b8c313d9c0dafd32f19df75088ec126a/GRIN_demo.pdf
diff --git a/..._downloads/bdbbc1ba119afa261bd4a160f31477f4/Michelson-with-aberration.hires.png b/..._downloads/bdbbc1ba119afa261bd4a160f31477f4/Michelson-with-aberration.hires.png
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diff --git a/docs/_downloads/c0ee4f3fa4ab94f536ad18292bfc96fe/Michelson-with-lens.pdf b/docs/_downloads/c0ee4f3fa4ab94f536ad18292bfc96fe/Michelson-with-lens.pdf
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diff --git a/docs/_downloads/c68903977f6c06de2b2c63555d4b7a94/PhaseRecovery.pdf b/docs/_downloads/c68903977f6c06de2b2c63555d4b7a94/PhaseRecovery.pdf
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diff --git a/docs/_downloads/fd848c75f6bad82fecad48b8824a48b9/Shack_HartmannDemo.pdf b/docs/_downloads/fd848c75f6bad82fecad48b8824a48b9/Shack_HartmannDemo.pdf
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