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File:Gaussian-beam intensity surfaceplot.png

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Captions

Captions

Surface plot of a Gaussian beam profile

Summary

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Description
English: Surface plot of the intensity profile of a Gaussian laser beam with beam waist . The height profile is proportional to the beam intensity, while the color is proportional to the electromagnetic field amplitude. The white lines represent the beam width, both at the FWHM and 1/e² intensity level.
Date
Source Own work
Author Geek3
PNG development
InfoField
 
This diagram was created with Mathematica.
Source code
InfoField

Mathematica code

w0 = 2; zR = Pi*w0^2; rmax = 30; zmax = 100;
plot = Plot3D[
   Exp[-2 r^2/(w0^2 (1 + (z/zR)^2))]/(1 + (z/zR)^2),
   {r, -rmax, rmax}, {z, -zmax, zmax}, PlotRange -> {0, 1},
   PlotPoints -> 101, MaxRecursion -> 4, 
   Method -> {Refinement -> {ControlValue -> 0.01} },
   MeshFunctions -> {#1 &, #2 &, #3 &, Exp[-2 #1^2/(w0^2 (1 + (#2/zR)^2))] &}, 
   MeshStyle -> {Black, Black, Gray, White},
   Mesh -> {Range[-Floor[rmax, 10], Floor[rmax, 10], 10],
     Range[-Floor[zmax, 10], Floor[zmax, 10], 10], 
     Range[0.05, 0.95, 0.05], {1/2, 1/E^2} },
   ColorFunction -> Function[{r, z, i}, Lighter[ColorData["Rainbow"][Sqrt[i] ], 0.3] ],
   BoxRatios -> {rmax, zmax, 30},
   ViewPoint -> {1.2, -3, 0.7},
   AxesEdge -> { {-1, -1}, {1, -1}, {-1, -1} }, 
   AxesLabel -> {"r/\[Lambda]", "z/\[Lambda]", "I/\!\(\*SubscriptBox[\(I\), \(0\)]\)"},
   BaseStyle -> 13, 
   Epilog -> 
    Text["\!\(\*SubscriptBox[\(w\), \(0\)]\) = 2\[Lambda]", {-15, -3}, BaseStyle -> Gray] ]
Export["Gaussian-beam_intensity_surfaceplot.png", 
  ImageResize[Image[plot, ImageResolution -> 400], 2000, Resampling -> "Linear"] ];

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current20:12, 15 January 2019Thumbnail for version as of 20:12, 15 January 20192,000 × 1,530 (343 KB)Geek3 (talk | contribs)User created page with UploadWizard

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