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Summary
| Description |
English: Schematic of the Drexhage experiment. Both the emission pattern and the total power emitted by a dipole depend on the distance from a mirror. This can be interpreted as an effect of the modified local density of stste.
Italiano: Rappresentazione schematica dell'esperimento di Drexhage. Quando un dipolo si trova vicino a uno specchio la radiazione riflessa interferisce con quella emessa modificando sia la distribuzione angolare che la potenza totale emessa. Questo effetto ha un'interpretazione naturale in termini di densità degli stati vicino allo specchio. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1150745727011905536 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
\[Lambda] = 1;
k0 = (2 \[Pi])/\[Lambda];
G[r_] := I/4 HankelH1[0, k0 Norm[r] ];
s = Table[{h,(Abs[NIntegrate[G[{Cos[\[Theta]], Sin[\[Theta]]}] - G[{Cos[\[Theta]], Sin[\[Theta]]} - {2*h, 0}], {\[Theta], 0, 2 \[Pi]}] ]/s0)^2}, {h, 3, 0, -0.01}];
p1 = Table[
GraphicsRow[{
DensityPlot[Abs[G[{x, y}] - G[{x + 2*h, y}] ]^2, {x, -3, 7}, {y, -5, 5}, PlotPoints -> 100, Frame -> False, ColorFunction -> "AvocadoColors", PlotLabel -> "|E\!\(\*SuperscriptBox[\(|\), \(2\)]\)",
PlotRange -> {0, 0.02}, LabelStyle -> {Black, Bold}, Epilog -> {Gray, Polygon[{{-5, -5}, {-h, -5}, {-h, 5}, {-5, 5}}]}]
,
ListPlot[s, PlotRange -> {0, 2}, Joined -> True, Axes -> False, Frame -> True, LabelStyle -> {Black, Bold}, PlotStyle -> {Black, Thick}, FrameLabel -> {"Distance from the mirror / \[Lambda]",
"P/\!\(\*SubscriptBox[\(P\), \(\[Infinity]\)]\)"}, Epilog -> {PointSize[0.03], Red, Point[{h, Evaluate[(1/s0 Abs[NIntegrate[G[{Cos[\[Theta]], Sin[\[Theta]]}] - G[{Cos[\[Theta]], Sin[\[Theta]]} - {2*h, 0}], {\[Theta], 0, 2 \[Pi]}] ])^2]}]}]
}, ImageSize -> Large]
, {h, 3, 0, -0.05}];
ListAnimate[p1]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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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.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:31, 16 July 2019 | | 576 × 245 (1.42 MB) | Berto | User created page with UploadWizard |
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