File:Time coherence.gif

Summary

Description
English: Temporal coherence is a measure of how long is the interval where a oscillating signal can be approximated as a single sinusoidal. Beyond the "coherence time" one has to pick a different single sinusoidal to approximate the signal.
Date
Source https://twitter.com/j_bertolotti/status/1123906335756693504
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 11.0 code

p1 = Table[
   Legended[Show[
     Plot[Sin[t], {t, \[Tau] - 20, \[Tau]}, PlotStyle -> {Red}]
     ,
     Plot[Sin[1 t + 0.0004 t^2], {t, \[Tau] - 20, \[Tau]}, PlotStyle -> {Purple}]
     ,
     Graphics[{Black, 
       Disk[{\[Tau], Sin[1 \[Tau] + 0.0004 \[Tau]^2]}, Scaled[{0.02, 0.02 GoldenRatio}]] }]
     , PlotRange -> {{\[Tau] - 20, \[Tau] + 2}, {-1.1, 1.1}}, 
     Axes -> False]
    , LineLegend[{Red, Purple}, {"Infinite coherence\n time signal", "Finite coherence\n time signal"}]
    ]
   , {\[Tau], 10, 90, 0.2}];
ListAnimate[p1]

Licensing

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Category:CC-Zero#Time%20coherence.gifCategory:Self-published work
Category:Images with Mathematica source code Category:Optics Category:Animated GIF files
Category:Animated GIF files Category:CC-Zero Category:Images with Mathematica source code Category:Optics Category:Self-published work