File:Wavefront Gaussian beam focus.gif

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Wavefront_Gaussian_beam_focus.gif ‎(360 × 391 pixels, file size: 1.06 MB, MIME type: image/gif, looped, 61 frames, 6.1 s)

Captions

Captions

Iso-phase surfaces for a gaussian beam

Summary

[edit]
Description
English: The phase of a Gaussian beam at any plane perpendicular to the direction of propagation is parabolic. But the wavefront (i.e. the iso-phase surface) is not!
Date
Source https://twitter.com/j_bertolotti/status/1282620072138346496
Author Jacopo Bertolotti
Permission
(Reusing this file)		 https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 12.1 code

[edit]
\[Lambda] = 1;
\[Sigma] = 0.3 \[Lambda];
k0 = (2 \[Pi])/\[Lambda];
zR = \[Sigma]^2 k0;
R[z_] := (zR^2 + z^2)/z;
p0 = Table[
   ContourPlot3D[
    ArcTan[zR, x] + k0 (x + (z^2 + y^2)/(2 R[x])) == 2 \[Pi] \[Delta], {x, -3, 3}, {y, -3, 3}, {z, -3, 3}, ContourStyle -> Directive[Opacity[0.8] ], Boxed -> False, Axes -> False,Epilog -> {Text[Style[StringForm["\[Phi]=``", NumberForm[2 \[Pi] \[Delta], {3, 2}]], Black, Bold, FontSize -> 16], {0.5, 0.9}]
      }]
   , {\[Delta], -3, 3, 0.1}];
ListAnimate[p0]

Licensing

[edit]
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.

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Date/TimeThumbnailDimensionsUserComment
current08:56, 14 July 2020Thumbnail for version as of 08:56, 14 July 2020360 × 391 (1.06 MB)Berto (talk | contribs)Uploaded own work with UploadWizard

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