File:Doppler Broadening.gif
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Doppler_Broadening.gif (480 × 468 pixels, file size: 3.12 MB, MIME type: image/gif, looped, 150 frames, 15 s)
Captions
Captions
A simplified visualizationof Doppler broadening
Summary[edit]
| Description |
English: If an otherwise monochromatic emitter is moving, the Doppler effect will change the frequency you measure. And if it is bouncing around, the frequency you measure will fluctuate. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1438468642073681920 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 12.0 code[edit]
npt = 50; numberwaves = 200;
pt = Accumulate@RandomVariate[NormalDistribution[], {npt - 1, 2}];
pt = Join[pt, {pt[[1]]}];
distances = Norm /@ Differences[pt];
timesegments = Join[{0}, Accumulate[distances]];
path[t_] := Piecewise[Table[{pt[[j + 1]] - (1 - (t - timesegments[[j]])/distances[[j]]) ( pt[[j + 1]] - pt[[j]]), timesegments[[j]] <= t < timesegments[[j + 1]]}, {j, 1, npt - 1}]
];
sourcet = Table[j, {j, 10^-2, timesegments[[-1]], timesegments[[-1]]/numberwaves}];
frames = Table[
Graphics[{
PointSize[0.02], Point[path[t] ],
Table[ If[t < sourcet[[j]], {}, {Opacity[1/(1 + ( 2 ( t - sourcet[[j]]) )^1)], Circle[path[sourcet[[j]] ] , 2 ( t - sourcet[[j]]) ] }], {j, 1, numberwaves}]
}, PlotRange -> {1.5 {Min[Flatten[pt[[All, 1]] ]], Max[Flatten[pt[[All, 1]] ]]}, 1.5 {Min[Flatten[pt[[All, 2]] ]], Max[Flatten[pt[[All, 2]] ]]}}]
, {t, timesegments[[1]], timesegments[[-1]] - 10^-2, timesegments[[-1]]/150}];
ListAnimate[frames]
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
|
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.
|
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:44, 17 September 2021 | | 480 × 468 (3.12 MB) | Berto (talk | contribs) | Uploaded own work with UploadWizard |
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