Rigorous Coupled Wave Analisys - help

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    Coupled Rigorous Wave
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Discussion Overview

The discussion centers on the Rigorous Coupled Wave Analysis (RCWA) method, specifically focusing on the computational analysis of diffraction grating efficiencies. Participants are examining the derivations presented in a specific text by Soifer and seeking clarification on certain equations and assumptions within the context of RCWA.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion regarding the transition from equations 3.138 and 3.139 to 3.140 and 3.141, indicating that their own derivation does not align with the book's results.
  • The same participant questions the validity of assumption (3.127) in relation to the derivation of equation set 3.150, suggesting that if this assumption is not valid, it raises concerns about the subsequent equation 3.152.
  • There is a request for clarification on how certain results for coefficients are derived, specifically in the context of modulation zones.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are differing interpretations of the equations and assumptions presented in the Soifer book. The discussion remains unresolved regarding the validity of certain assumptions and the derivations involved.

Contextual Notes

The discussion highlights potential limitations in understanding the derivations due to unclear assumptions and dependencies on specific definitions within the RCWA framework. There are unresolved mathematical steps that participants are grappling with.

Krzysztow
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Hi,

Recently I'm trying to understand some explanation of RCWA, which introduces to computational analysis of diffraction grating efficiences. For explanation I use Soifer book, but cannot understand or don't agree with it. I tried to understand the derivation, not to write it straightforward into Matlab but understand as well. And I found that my derivation doesn't agreefully with the book. Can You explain to me:
1) how one can get from the set of equations 3.138 & 3.139 to the set 3.140 & 3.141. I got something for 3.140 like in equation (*).
2) where did He get set 3.150 from? It seems as if assumption (**) or (3.127) is not valid anymore. However then He shouldn't write 3.152.
If assumption (3.127) is valid for modulation zone, then result for coefficients is given by (***)

Please, help me. It's not I want anyone to do my work. I just dwell for too long on it. Thank in advance!
 

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7th, 8th and 9th pages
 

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10th and 11th and (*)
 

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(**) and (***)
 

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