RCWA derivation steps in Soifer diffraction grating analysis

  • Context: Graduate 
  • Thread starter Thread starter Krzysztow
  • Start date Start date
  • Tags Tags
    Coupled Rigorous Wave
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
4 replies · 2K views
Krzysztow
Messages
5
Reaction score
0
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!
 

Attachments

  • DSCN6430.JPG
    DSCN6430.JPG
    34.5 KB · Views: 502
  • DSCN6431.JPG
    DSCN6431.JPG
    26.5 KB · Views: 491
  • DSCN6432.JPG
    DSCN6432.JPG
    30.6 KB · Views: 524
Physics news on Phys.org
More attachements
 

Attachments

  • DSCN6433.JPG
    DSCN6433.JPG
    31 KB · Views: 471
  • DSCN6434.JPG
    DSCN6434.JPG
    30.7 KB · Views: 523
  • DSCN6435.JPG
    DSCN6435.JPG
    26.4 KB · Views: 482
7th, 8th and 9th pages
 

Attachments

  • DSCN6438.JPG
    DSCN6438.JPG
    30.8 KB · Views: 487
  • DSCN6437.JPG
    DSCN6437.JPG
    30.2 KB · Views: 491
  • DSCN6436.JPG
    DSCN6436.JPG
    32.8 KB · Views: 524
10th and 11th and (*)
 

Attachments

  • DSCN6439.JPG
    DSCN6439.JPG
    31 KB · Views: 477
  • DSCN6440.JPG
    DSCN6440.JPG
    33.3 KB · Views: 508
  • T.jpg
    T.jpg
    8.2 KB · Views: 448
(**) and (***)
 

Attachments

  • Assumption.jpg
    Assumption.jpg
    7.8 KB · Views: 462
  • Result.jpg
    Result.jpg
    4.6 KB · Views: 441