File:WhiteLightInterferometry.gif

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WhiteLightInterferometry.gif(576 × 189 pixels, file size: 3.59 MB, MIME type: image/gif, looped, 401 frames)

Captions

Captions

low-coherence signals only interefere with themselves if the timne delay is very small

Summary[edit]

Description
English: White light interferometry: if you overlap a low-coherence signal with itself, the resulting intensity will be constant (no interference) unless the delay between the two is smaller than the coherence time, when interference fringes in the intensity appear.
Date
Source https://twitter.com/j_bertolotti/status/1144165624651931648
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 11.0 code[edit]

signal = Fourier[
   Table[Sqrt[E^(-((\[Omega] - 2)^2/(2 0.01^2)))] E^(I RandomReal[{0, 2 \[Pi]}]), {\[Omega], -10, 10, 0.002}]];
p1 = Table[
   GraphicsRow[{
     ListPlot[{Re@signal, Re@RotateRight[signal, j]}, PlotRange -> All, Joined -> True, Axes -> False]
     ,
     Plot[E^(-((\[Omega] - 103)^2/(2 5^2)))*Cos[\[Omega] - 103], {\[Omega], 0, 200}, PlotRange -> All, PlotStyle -> {Black}, FrameTicks -> None, Axes -> False, Frame -> True, FrameLabel -> {"\[CapitalDelta]\[Tau]", "\[Integral]|E\!\(\*SuperscriptBox[\(|\), \(2\)]\)dt"}, LabelStyle -> {Black, Bold}, Epilog -> {Red, PointSize[0.03], Point[{j + 103, E^(-((j)^2/(2 5^2))) Cos[j]}]}]}, ImageSize -> Large]
   , {j, -200, 200, 1}];
ListAnimate[p1]

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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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Date/TimeThumbnailDimensionsUserComment
current08:24, 28 June 2019Thumbnail for version as of 08:24, 28 June 2019576 × 189 (3.59 MB)Berto (talk | contribs)User created page with UploadWizard

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