File:Speckle vs disorder.gif
Summary
| Description |
English: The change of even a few scatterers can significantly modify the resulting speckle pattern. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1286689341708869634 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
| GIF development |
Mathematica 12.1 code
\[Lambda] = 0.5;
k0 = (2 \[Pi])/\[Lambda];
c = 1;
\[Omega] = c k0;
\[Alpha] = (4 I)/k0^2;
\[Sigma] = (k0^3 Norm[\[Alpha]]^2)/4;
G[r_] := N[I/4 HankelH1[0, k0 Norm[r] ]];
source[{x_, y_}] := E^(I k0 x) E^(-((y - 0)^2/(2 0.5^2)));
dim = 50;
dipolesfixed = RandomVariate[UniformDistribution[{{-2, 2}, {-3, 3}}], {dim - 1}];
sinstep[t_] := Sin[\[Pi]/2 t]^2;
p0 = Table[
dipoles = Join[dipolesfixed, {{-2 sinstep[t], 0}}];
y0 = 0;
E0 = Table[source[dipoles[[j]], y0], {j, 1, dim}];
ME = Table[If[k == j, 0, \[Alpha] k0^2 G[dipoles[[j]] - dipoles[[k]] ] ], {j, 1, dim}, {k, 1, dim}];
Es = Inverse[IdentityMatrix[dim] - ME].E0; (*Es=E0+ME.ES\[Rule]Es=(1-ME)^-1.E0*)
Etot[x_, y_] := source[{x, y}] + \[Alpha] k0^2 Sum[G[{x, y} - dipoles[[j]] ] Es[[j]], {j, 1, dim}];
DensityPlot[Abs[Etot[x, y, y0] ]^2, {x, -10, 10}, {y, -10, 10}, PlotPoints -> 100, ColorFunction -> "AvocadoColors", Frame -> False, PlotRange -> {0, 1.1}, Epilog -> {Purple, Point[dipoles], Black,
Disk[{-2 sinstep[t], 0}, 0.15], Orange, Disk[{-2 sinstep[t], 0}, 0.1]}]
, {t, 0, 1, 0.02}];
ListAnimate[p0]
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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