File:Drexhage experiment.gif
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 states.
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
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