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Bessel_beam.gif(360 × 360 pixels, file size: 678 KB, MIME type: image/gif, looped, 51 frames)

Summary

Description
English: Animation of a Bessel beam generated by a discrete set of oscillators with a |x| phase relation.
Date
Source https://twitter.com/j_bertolotti/status/1059037440810323974
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 11.0 code

c = 1;
tr[r_, t_] := t - Norm[r]/c;
n[r_, t_] := r/Norm[r];
Ef[r_, t_, \[Phi]_] := 
  E^(I 2 \[Pi] (t + \[Phi]))/Norm[r] E^(-t^2/(2 5^2));
Efr[r_, t_, \[Phi]_] := Ef[r, tr[r, t], \[Phi] ];
s = Sum[Efr[{x + j, y}, \[Tau], Abs[j/11]], {j, -25, 25, 0.5}];
p1 = Table[
  DensityPlot[Norm[s]^2, {x, -20, 20}, {y, 0, 100}, 
   PlotPoints -> 100, ColorFunction -> "AvocadoColors", 
   Frame -> False, PlotRange -> {0, 1}, Exclusions -> None]
  , {\[Tau], 0, 100, 2}]
ListAnimate[p1]

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.

This file, which was originally posted to https://twitter.com/j_bertolotti/status/1059037440810323974, was reviewed on 4 November 2018 by reviewer Ronhjones, who confirmed that it was available there under the stated license on that date.

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author name string: Jacopo Bertolotti
Wikimedia username: Berto

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copyrighted, dedicated to the public domain by copyright holder

copyright license

Creative Commons CC0 License

inception

4 November 2018

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image/gif

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determination method: SHA-1

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694,061 byte

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360 pixel

width

360 pixel

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Date/TimeThumbnailDimensionsUserComment
current13:43, 4 November 2018Thumbnail for version as of 13:43, 4 November 2018360 × 360 (678 KB)BertoUser created page with UploadWizard
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