File:Fano resonance.png

Summary

Description
English: If you have a strong wide resonance, and then a weaker narrower one sitting on its tail, the two will interfere, producing a characteristic asymmetric shape known as "Fano resonance".
Date
Source https://twitter.com/j_bertolotti/status/1114152007751864321
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 11.0 code

GraphicsRow[{
  Plot[{Abs[1/(I + \[Omega])], Abs[0.5/(I + 10 (\[Omega] - 8))], Abs[1/(I + \[Omega]) + 0.5/(I + 10 (\[Omega] - 8))]}, {\[Omega], -10, 15}, PlotStyle -> {Purple, Orange, Directive[Dashed, Black]}, PlotRange -> All, PlotPoints -> 200, Axes -> False, PlotLabel -> "Modulus", LabelStyle -> {Bold}]
  ,
  Plot[{Arg[1/(I + \[Omega])], Arg[0.5/(I + 10 (\[Omega] - 8))], Arg[1/(I + \[Omega]) + 0.5/(I + 10 (\[Omega] - 8))]}, {\[Omega], -10, 15}, PlotStyle -> {Purple, Orange, Directive[Dashed, Black]}, PlotRange -> All, PlotPoints -> 200, Axes -> False, PlotLabel -> "Phase", LabelStyle -> {Bold}]
  ,
  LineLegend[{Purple, Orange, Directive[Dashed, Black]}, {"Resonance 1", "Resonance 2", "Res. 1 + Res. 2\n (Fano resonance)"}]
  }, ImageSize -> Large]

Licensing

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.

Category:CC-Zero#Fano%20resonance.png
Category:Self-published work
This file, which was originally posted to https://twitter.com/j_bertolotti/status/1114152007751864321, was reviewed on 7 April 2019 by reviewer Ronhjones, who confirmed that it was available there under the stated license on that date.
Category:Files from external sources with reviewed licenses#Fano%20resonance.png Category:Resonance Category:Fano resonance Category:Images with Mathematica source code
Category:CC-Zero Category:Fano resonance Category:Files from external sources with reviewed licenses Category:Images with Mathematica source code Category:Resonance Category:Self-published work