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Polarization_change_in_uniaxial_crystal.gif (360 × 244 pixels, file size: 339 KB, MIME type: image/gif, looped, 31 frames)
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Summary
| Description |
English: A wave in a uniaxial crystal will separate in two components, one parallel and one perpendicular to the optic axis, that will accumulating phase at different rates. This can be used to manipulate the polarization state of the wave. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1198606136586444801 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
\[Theta] = \[Pi]/4;
\[Epsilon]r = FullSimplify@RotationMatrix[\[Theta], {1, 0, 0}].DiagonalMatrix[{\[Epsilon]1, \[Epsilon]1, \[Epsilon]2}].RotationMatrix[-\[Theta], {1, 0, 0}];
eq = Table[
(D[{Ex[x], Ey[x], Ez[x]}, {x, 2}])[[j]] == -(\[Epsilon]r.{Ex[x], Ey[x], Ez[x]})[[j]], {j, 1, 3, 1}];
sol = FullSimplify[DSolveValue[Flatten[{eq, Ex[0] == 0, Ex'[0] == 0, Ey[0] == 0, Ey'[0] == 0, Ez[0] == 1, Ez'[0] == 0}], {Ex[x], Ey[x], Ez[x]}, x] ];
p1 = Table[ Show[
Graphics3D[{Lighting -> "Neutral", Gray, Opacity[0.3], Cuboid[{0, -1, -1}, {62.8, 1, 1}], Opacity[1], Thick, Black, Arrowheads[0.002], Arrow[{{0, -1, -1}, {0, 1, 1}}]}]
,
ParametricPlot3D[Piecewise[{{{x, 0, Cos[x - \[Tau]]} /. {\[Epsilon]1 -> 1, \[Epsilon]2 -> 1.1}, x < 0}, {{x, sol2[[2]], sol2[[3]]} /. {\[Epsilon]1 -> 1, \[Epsilon]2 -> 1.1}, 0 < x < 62.8}, {{x, Cos[x - \[Tau]], 0} /. {\[Epsilon]1 -> 1, \[Epsilon]2 -> 1.1}, x > 62.8}}], {x, -20, 80}, BoxRatios -> {3, 1, 1}, PlotStyle -> {Orange}, PlotPoints -> 50]
, PlotRange -> {{-20, 80}, {-1, 1}, {-1, 1}}, BoxRatios -> {3, 1, 1}, Boxed -> False
]
, {\[Tau], 0, 2 \[Pi], (2 \[Pi])/30}];
ListAnimate[p1]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:30, 25 November 2019 | | 360 × 244 (339 KB) | Berto | User created page with UploadWizard |
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