What Are the Best Mathematical Resources for Learning EIT?

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Discussion Overview

The discussion centers around identifying mathematical resources for learning about Electromagnetically Induced Transparency (EIT), with a focus on the mathematical calculations involved in the topic. Participants share references to papers and express varying levels of difficulty in understanding the mathematical aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about good references for EIT, emphasizing the need for mathematical calculations.
  • Another participant confirms the topic is indeed Electromagnetically Induced Transparency.
  • Several participants mention papers related to Fano resonances, suggesting that EIT is a type of Fano resonance and recommending specific papers for further reading.
  • A participant expresses difficulty in understanding Fano's original paper due to complex mathematical concepts, particularly the presence of delta functions.
  • Another participant acknowledges the difficulty of Fano's paper but suggests exploring references in optics literature related to plasmons for additional insights.
  • One participant mentions a recent prepress paper with useful references that they plan to share later.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of Fano resonances to EIT and share resources, but there is no consensus on the accessibility of the mathematical content in the recommended papers, with some expressing difficulty in understanding them.

Contextual Notes

Participants note that the mathematical complexity of the recommended papers may pose challenges, particularly regarding specific mathematical functions like delta functions, which could limit understanding.

Who May Find This Useful

Readers interested in Electromagnetically Induced Transparency, Fano resonances, and the mathematical underpinnings of these phenomena may find the shared resources and discussions beneficial.

wdlang
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is there any good reference on EIT?

with some emphasis on the actual mathematical calculations
 
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are you talking about electromagnetically induced transparency
 
josh_einsle said:
are you talking about electromagnetically induced transparency


yes, exactly
 
end of day, but i will dig up a few papers that i have on it. came up recently in the context of some research on fano resonances, there is a good paper which presents a good toy model ... just can not remember what journal...
 
I found the following paper by Fleischhauer, Imamoglu and Marangos useful. It is fairly extensive, although I don't know if it has as much math as you want.

http://www.unl.edu/amop/pdf_files/RMP_EIT_Fleischhauer.pdf"
 
Last edited by a moderator:
So I just looked through my folder on these and realized that most of my papers are based on the discussion of Fano resonances. Since EIT is a type of Fano resonance.

So you would be best served looking at the first paper by Fano: Phy Rev 1961 vol 124 #6,

also found this paper interesting: Classical analogy of Fano Resonaces, Joe et al Phys scr 74 (2006) 259
 

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josh_einsle said:
So I just looked through my folder on these and realized that most of my papers are based on the discussion of Fano resonances. Since EIT is a type of Fano resonance.

So you would be best served looking at the first paper by Fano: Phy Rev 1961 vol 124 #6,

also found this paper interesting: Classical analogy of Fano Resonaces, Joe et al Phys scr 74 (2006) 259

thanks a lot

yeah, but fano's paper is a bit hard for me

years ago, i read it, but cannot follow the math there

the problem is that there are some delta functions

i will try again
 
agree the fano paper being difficult, but you said you wanted the hard math to the phenomena. ;-)

that said as fano/eit are being referenced a bit more in some of the optics lit that I am reading for plasmons, I would suggest doing the whole check references and see where it leads you. that is what i have done.

by the way there is one other paper that i got recently in prepress that has lots of good refs. I will dig it out when i get home.

j
 

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