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

I, the copyright holder of this work, hereby publish it under the following license:
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.

Category:CC-Zero#Speckle%20phase%20vortices.gif
Category:Self-published work Category:Speckle Category:Images with Mathematica source code Category:Animated GIF files Category:Animations of optics
Category:Animated GIF files Category:Animations of optics Category:CC-Zero Category:Images with Mathematica source code Category:Pages using deprecated source tags Category:Self-published work Category:Speckle