File:Gaussian-beam intensity surfaceplot.png
Size of this preview: 784 × 600 pixels. Other resolutions: 314 × 240 pixels | 628 × 480 pixels | 1,004 × 768 pixels | 1,280 × 979 pixels | 2,000 × 1,530 pixels.
Original file (2,000 × 1,530 pixels, file size: 343 KB, MIME type: image/png)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| 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 |  This diagram was created with Mathematica. |
| Source code | 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"] ];
|
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:12, 15 January 2019 | | 2,000 × 1,530 (343 KB) | Geek3 | User created page with UploadWizard |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on fa.wikipedia.org
