Density of states, photonic crystal

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Discussion Overview

The discussion revolves around the calculation and plotting of the density of states (DOS) for photonic crystals. Participants explore methods for visualizing DOS data, specifically in the context of creating colored plots or heat maps, as well as the necessary calculations involved in determining DOS as a function of effective index and wavelength parameters.

Discussion Character

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

Main Points Raised

  • One participant expresses familiarity with calculating band structure and DOS for photonic crystals but seeks guidance on plotting DOS maps.
  • Another participant suggests using a "heat map" approach, referencing gnuplot as a potential tool for visualization.
  • There is a request for clarification on whether the inquiry pertains to plotting techniques or the calculation of DOS as a function of specific parameters.
  • Some participants indicate uncertainty about the exact nature of the original question, with one suggesting it may be more about software usage for plotting rather than the calculations themselves.
  • Links to relevant articles are shared, although some participants report difficulties accessing them.
  • One participant explicitly states they do not know how to calculate DOS as a function of the specified parameters.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the main issue is the plotting of the data or the calculation of DOS. There are multiple viewpoints regarding the nature of the inquiry, and some participants express uncertainty about the details of the original question.

Contextual Notes

There are unresolved aspects regarding the specific calculations needed for DOS and the software tools appropriate for plotting the data. Participants have not clarified the assumptions or definitions related to the parameters involved.

Laplas
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Hello!
I know how to calculate band structure and density of states of photonic crystal (example is pic.1)
getImage.xqy?img=OG0kcC5sYXJnZSxvZS0yMS00LTQwNzItZzAwNA.jpg

Does anybody know how to plot such DOS maps?
O0fbJXNKQFs.jpg

The second picture is from the article about photonic crystal fibers by Rodrigo Amezcua.
 
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The expression "heat map", e.g. from gnuplot, cimes to my mind.
 
DrDu said:
The expression "heat map", e.g. from gnuplot, cimes to my mind.
Ok.
But it is the density of states of a photonic crystal. May be you know how to plot it like on the picture 2?
 
If this is a question how to produce this kind of coloured plot of a function of two variables, then I think I already provided an answer. Or do you mean how to calculate the DOS as a function of ##n_{eff}## and ## \lambda/\Lambda##, which I could be of little help?
 
DrDu said:
If this is a question how to produce this kind of coloured plot of a function of two variables, then I think I already provided an answer. Or do you mean how to calculate the DOS as a function of ##n_{eff}## and ## \lambda/\Lambda##, which I could be of little help?
I mean how to calculate the DOS as a function of neff and λ/Λ.

I would be grateful if you can help me.
 
Do you have a proper citation for the article this is from?
 
Isn't this more of a question on how one plots a contour map, i.e. a software question? Considering that you claim that you know how to calculate the DOS, it means that you already have the necessary data to be plotted. From what I can understand, that leaves the question on how you plot that data.

Or am I missing something?

Zz.
 
I can't follow these links you provided.
 
  • #11
ZapperZ said:
Isn't this more of a question on how one plots a contour map, i.e. a software question? Considering that you claim that you know how to calculate the DOS, it means that you already have the necessary data to be plotted. From what I can understand, that leaves the question on how you plot that data.

Or am I missing something?

Zz.
I don`t know how to calculate the DOS as a function of neff and λ/Λ.
 

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