File:Electric dipole radiation.gif
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Electric_dipole_radiation.gif (360 × 376 pixels, file size: 699 KB, MIME type: image/gif, looped, 21 frames)
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
DescriptionElectric dipole radiation.gif |
English: Modulus of the Poynting vector for an oscillating electric dipole (exact solution). The two charges are shown as two small black dots. The white area is saturated. |
Date | |
Source | https://twitter.com/j_bertolotti/status/1074594637879353344 |
Author | Jacopo Bertolotti |
Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
a = 1; \[Omega] =(*0.9/(a 2 \[Pi])*)0.05 rsed[t_] := {0, a Sin[2 \[Pi] \[Omega] t], 0}; (*position of the source*) c = 1; (*speed of light*) \[Beta]ed[t_] := Evaluate@D[rsed[t1], t1] /. t1 -> t; d\[Beta]ed[t_] := Evaluate@D[\[Beta]ed[t1], t1] /. t1 -> t; \[Gamma]ed[t_] := 1/Sqrt[1 - Norm[\[Beta]ed[t]]^2]; ned[r_, t_] := (r - rsed[t])/Norm[r - rsed[t]]; tred[r_, t_] := t - Norm[r - rsed[t]]/c; Efed[q_, r_, t_] := (q (ned[r, t] - \[Beta]ed[t])/(\[Gamma]ed[t]^2 (1 - ned[r, t].\[Beta]ed[t])^3 Norm[r - rsed[t]]^2) + q ned[r, t] \[Cross]((ned[r, t] - \[Beta]ed[t])\[Cross]d\[Beta]ed[t])/(c (1 - ned[r, t].\[Beta]ed[t])^3 Norm[r - rsed[t]]) ) Bfed[q_, r_, t_] := (q (c (\[Beta]ed[t]\[Cross]ned[r, t]))/(\[Gamma]ed[t]^2 (1 - ned[r, t].\[Beta]ed[t])^3 Norm[r - rsed[t]]^2) + q ned[r, t] \[Cross](ned[r, t]\[Cross]((ned[r, t] - \[Beta]ed[t])\[Cross]d\[Beta]ed[t]))/((1 - ned[r, t].\[Beta]ed[t])^3 Norm[r - rsed[t]]) ) Sed[q_, r_, t_] := Efed[q, r, t]\[Cross]Bfed[q, r, t] \[Tau] =. p1 = Table[ DensityPlot[Norm[Sed[1, {x, y, 0}, tred[{x, y, 0}, \[Tau]]] + Sed[-1, {x, y, 0}, tred[{x, y, 0}, \[Tau] + 1/(2 \[Omega])]] ] , {x, -30, 30}, {y, -30, 30}, ColorFunction -> "AvocadoColors", PlotRange -> {0, 0.0005}, AspectRatio -> 1, PlotPoints -> 100, Frame -> False, Epilog -> {Black, Disk[rsed[\[Tau]][[1 ;; 2]], 0.5 ], Disk[rsed[\[Tau] + 1/(2 \[Omega])][[1 ;; 2]], 0.5]}, PlotLabel -> "Electrc dipole, |S|", LabelStyle -> {Black, Bold}], {\[Tau], 0, 1/\[Omega], 1/(\[Omega] 20)}] ListAnimate[p1, 10]
Licensing
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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
This file, which was originally posted to
https://twitter.com/j_bertolotti/status/1030470604418428929, was reviewed on 17 December 2018 by reviewer Ronhjones, who confirmed that it was available there under the stated license on that date.
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17 December 2018
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:56, 17 December 2018 | 360 × 376 (699 KB) | Berto | User created page with UploadWizard |
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