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Liquid_Crystal_based_Spatial_Light_Modulator.gif (360 × 263 pixels, file size: 947 KB, MIME type: image/gif, looped, 80 frames)
Summary
| Description |
English: As (nematic) liquid crystals are birifrangent and their orientation can be changed applying an electric field, it is possible to change the refractive index seen by an incident wave applying a voltage to a liquid crystal cell and thus control the phase retardation of the reflected wave. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1144556106192183296 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
k1 = 2;
k2 = 4;
p1 = Table[
Show[
Graphics[{Polygon[{{-4.2, -6}, {-4, -6}, {-4, 6}, {-4.2, 6}}], Gray, Polygon[{{4.2, -6}, {4, -6}, {4, 6}, {4.2, 6}}], Black, Thick, Line[{{-4.1, -4}, {-5, -4}, {-5, -7}, {-3, -7}}], Disk[{-3, -7}, 0.2], Disk[{-1, -7}, 0.2], Line[{{-1, -7}, {0, -7}}], Line[{{0.5, -7}, {5, -7}, {5, -4}, {4.2, -4}}], Line[{{-3, -7}, {-3 + 2/Sqrt[2], -7 - 2/Sqrt[2]}}], Thickness[0.01], Line[{{0, -7.5}, {0, -6.5}}],
Line[{{0.5, -8}, {0.5, -6}}], Table[Rotate[Disk[{x, y}, {0.1, 0.4}], 0], {x, -3, 3, 1}, {y, -5, 5, 1}], Red, Arrow[{{12, 4}, {8, 4}}], Blue, Arrow[{{8, 0}, {12, 0}}] }],
Plot[Sin[k1 x] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}], Plot[Sin[k2 x + 4 (k1 - k2)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + k2 (4 + x)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}],
Plot[-Sin[32 - 4 k1 + \[Pi] + 4 k2 + k1 x + 4 (k2 - k1)] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}]
]
, {\[Phi], 2 \[Pi], 0, -0.4}];
k1 = 2;
k2 = 4;
k2old = 4;
knew = 2.5;
p2 = Table[
k2 = \[Phi]/(2 \[Pi]) knew + (1 - \[Phi]/(2 \[Pi])) k2old;
Show[
Graphics[{Polygon[{{-4.2, -6}, {-4, -6}, {-4, 6}, {-4.2, 6}}], Gray, Polygon[{{4.2, -6}, {4, -6}, {4, 6}, {4.2, 6}}], Black, Thick, Line[{{-4.1, -4}, {-5, -4}, {-5, -7}, {-3, -7}}], Disk[{-3, -7}, 0.2], Disk[{-1, -7}, 0.2], Line[{{-1, -7}, {0, -7}}], Line[{{0.5, -7}, {5, -7}, {5, -4}, {4.2, -4}}], Line[{{-3, -7}, {-1, -7}}], Thickness[0.01], Line[{{0, -7.5}, {0, -6.5}}], Line[{{0.5, -8}, {0.5, -6}}]
, Table[Rotate[Disk[{x, y}, {0.1, 0.4}], \[Phi]/4], {x, -3, 3, 1}, {y, -5, 5, 1}], Red, Arrow[{{12, 4}, {8, 4}}], Blue, Arrow[{{8, 0}, {12, 0}}] }],
Plot[Sin[k1 x] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}], Plot[Sin[k2 x + 4 (k1 - k2)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + k2 (4 + x)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}],
Plot[-Sin[32 - 4 k1 + \[Pi] + 4 k2 + k1 x + 4 (k2 - k1)] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + 4 k2old + k1 x + 4 (k2old - k1)] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Dashed}]
]
, {\[Phi], 0, 2 \[Pi], 0.2}];
k1 = 2;
k2 = 4;
k2old = 4;
knew = 2.5;
p3 = Table[
k2 = \[Phi]/(2 \[Pi]) knew + (1 - \[Phi]/(2 \[Pi])) k2old;
Show[
Graphics[{Polygon[{{-4.2, -6}, {-4, -6}, {-4, 6}, {-4.2, 6}}], Gray, Polygon[{{4.2, -6}, {4, -6}, {4, 6}, {4.2, 6}}], Black, Thick, Line[{{-4.1, -4}, {-5, -4}, {-5, -7}, {-3, -7}}], Disk[{-3, -7}, 0.2], Disk[{-1, -7}, 0.2], Line[{{-1, -7}, {0, -7}}], Line[{{0.5, -7}, {5, -7}, {5, -4}, {4.2, -4}}], Line[{{-3, -7}, {-3 + 2/Sqrt[2], -7 - 2/Sqrt[2]}}], Thickness[0.01], Line[{{0, -7.5}, {0, -6.5}}],
Line[{{0.5, -8}, {0.5, -6}}], Table[Rotate[Disk[{x, y}, {0.1, 0.4}], \[Phi]/4], {x, -3, 3, 1}, {y, -5, 5, 1}], Red, Arrow[{{12, 4}, {8, 4}}], Blue, Arrow[{{8, 0}, {12, 0}}] }],
Plot[Sin[k1 x] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}], Plot[Sin[k2 x + 4 (k1 - k2)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Red, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + k2 (4 + x)] + 2, {x, -4, 4}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + 4 k2 + k1 x + 4 (k2 - k1)] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Thick}]
,
Plot[-Sin[32 - 4 k1 + \[Pi] + 4 k2old + k1 x + 4 (k2old - k1)] + 2, {x, 4.2, 15}, Axes -> False, PlotRange -> All, PlotStyle -> {Blue, Dashed}]
]
, {\[Phi], 2 \[Pi], 0, -0.2}];
ListAnimate[Join[p1, p2, p3]]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
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.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:00, 28 June 2019 | | 360 × 263 (947 KB) | Berto | User created page with UploadWizard |
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