File:Gaussian-beam intensity surfaceplot.png
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![File:Gaussian-beam intensity surfaceplot.png](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Gaussian-beam_intensity_surfaceplot.png/784px-Gaussian-beam_intensity_surfaceplot.png?20190115201210)
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Original file (2,000 × 1,530 pixels, file size: 343 KB, MIME type: image/png)
File information
Structured data
Captions
Captions
Surface plot of a Gaussian beam profile
Summary
[edit]DescriptionGaussian-beam intensity surfaceplot.png |
English: Surface plot of the intensity profile of a Gaussian laser beam with beam waist |
Date | |
Source | Own work |
Author | Geek3 |
PNG development InfoField | ![]() This diagram was created with Mathematica. |
Source code InfoField | Mathematica codew0 = 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"] ];
|
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 20:12, 15 January 2019 | ![]() | 2,000 × 1,530 (343 KB) | Geek3 (talk | contribs) | User created page with UploadWizard |
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