File:Speckle phase vortices.gif
Summary
Description |
English: At the zeros of the intensity of a speckle pattern there are points where the phase is undefined. These are called "optical vortices" as the phase makes a full 2π (or integer multiples of 2π) loop around them. |
Date | |
Source | https://twitter.com/j_bertolotti/status/1330830350143066112 |
Author | Jacopo Bertolotti |
Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 12.1 code
dim = 256;
envelope = Table[E^(-(((x - dim/2)^2 + (y - dim/2)^2)/(2 (dim/50)^2))), {x, 1, dim}, {y, 1, dim}];
s = Fourier[RotateRight[RandomComplex[{-1 - I, 1 + I}, {dim, dim}]*envelope, {dim/2, dim/2}] ];
p0 = Table[
GraphicsRow[{
ArrayPlot[Abs[Reverse@Transpose@s]^2, ColorFunction -> "AvocadoColors", Frame -> False, PlotLabel -> "|E\!\(\*SuperscriptBox[\(|\), \(2\)]\)", LabelStyle -> {White, Bold, FontSize -> 24}]
,
ArrayPlot[((Arg[Reverse@Transpose@s] + \[Phi]) + \[Pi])/(2 \[Pi]), ColorFunction -> Hue, ColorFunctionScaling -> False, Frame -> False, PlotLabel -> "Arg(E)", LabelStyle -> {White, Bold, FontSize -> 24}]
}, Background -> Black, ImageSize -> 1000]
, {\[Phi], 0, 2 \[Pi], (2 \[Pi])/50}];
ListAnimate[p0]
Licensing
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