File:Spatial coherence.gif
Summary
| Description |
English: Spatial coherence is a measure of how far away you can go before the phase relation of two oscillators is not constant anymore. In optics this determines how much you can collimate your source. (The middle panel shows the case that usually create confusion).
Please notice that in all 3 panels each oscillator is perfectly temporally coherent, but this is not a requirement at all. You can have temporally incoherent light that is also perfectly spatially coherent. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1124982819887943680 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
r\[Phi] = RandomReal[{0, \[Pi]}, {10, 10}];
r\[Omega] = RandomReal[{0.5, 1.5}, {10, 10}];
p1 =
Table[
GraphicsRow[{
Graphics[{Black, Table[Disk[{i, j}, 0.4*Abs[Sin[2 \[Pi] t ]] + 0.05 ], {i, 1, 10}, {j, 1, 10}] }, PlotLabel -> "Spatially coherent", LabelStyle -> Black, PlotRange -> {{-0.5, 10.5}, {-0.5, 10.5}}],
Graphics[{Black, Table[Disk[{i, j}, 0.4*Abs[Sin[2 \[Pi] t + r\[Phi][[i, j]] ]] + 0.05 ], {i, 1, 10}, {j, 1, 10}]}, PlotLabel -> "Also spatially coherent", LabelStyle -> Black, PlotRange -> {{-0.5, 10.5}, {-0.5, 10.5}}],
Graphics[{Black, Table[Disk[{i, j}, 0.4*Abs[Sin[2 \[Pi] r\[Omega][[i, j]] t + r\[Phi][[i, j]] ]] + 0.05 ], {i, 1, 10}, {j, 1, 10}]}, PlotLabel -> "Spatially incoherent", LabelStyle -> Black,
PlotRange -> {{-0.5, 10.5}, {-0.5, 10.5}}]
}, ImageSize -> Large]
, {t, 0, 5, 0.01}];
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. |
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