Lêer:Polarization change in uniaxial crystal.gif

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Polarization_change_in_uniaxial_crystal.gif ‎(360 × 244 piksels, lêergrootte: 339 KG, MIME-tipe: image/gif, herhalend, 31 rame)

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Opsomming

Beskrywing
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.
Datum
Bron https://twitter.com/j_bertolotti/status/1198606136586444801
Outeur Jacopo Bertolotti
Toestemming
(Hergebruik van die lêer)		 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]

Lisensiëring

Ek, die outeursreghouer van hierdie werk, publiseer dit onder die volgende lisensie:
Creative Commons CC-Zero 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.

Captions

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In a uniaxial crystal the polarization state change from linear to elliptical to circular and to linear again.

Items portrayed in this file

uitbeelding

Golf

polarization Engels

Uniaxial crystal Engels

Waveplate Engels

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Datum/TydDuimnaelDimensiesGebruikerOpmerking
huidig09:30, 25 November 2019Duimnaelskets vir weergawe vanaf 09:30, 25 November 2019360 × 244 (339 KG)BertoUser created page with UploadWizard

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