OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2313–2327

Extended scattering-matrix method for efficient full parallel implementation of rigorous coupled-wave analysis

Hwi Kim, Il-Min Lee, and Byoungho Lee  »View Author Affiliations


JOSA A, Vol. 24, Issue 8, pp. 2313-2327 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002313


View Full Text Article

Enhanced HTML    Acrobat PDF (1171 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An extended and refined scattering-matrix method is proposed for the efficient full parallel implementation of rigorous coupled-wave analysis of multilayer structures. The total electromagnetic field distribution in the rigorous coupled-wave analysis is represented by the linear combination of the eigenmodes with their own coupling coefficients. In the proposed scheme, a refined recursion relation of the coupling coefficients of the eigenmodes is defined for complete parallel computation of the electromagnetic field distributions within multilayer structures.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(000.6800) General : Theoretical physics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: October 23, 2006
Revised Manuscript: February 20, 2007
Manuscript Accepted: February 26, 2007
Published: July 11, 2007

Citation
Hwi Kim, Il-Min Lee, and Byoungho Lee, "Extended scattering-matrix method for efficient full parallel implementation of rigorous coupled-wave analysis," J. Opt. Soc. Am. A 24, 2313-2327 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-8-2313


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Am. A 13, 1024-1035 (1996). [CrossRef]
  2. E. L. Tan, "Note on formulation of the enhanced scattering- (transmittance-) matrix approach," J. Opt. Soc. Am. A 19, 1157-1161 (2002). [CrossRef]
  3. L. Li, "Note on the S-matrix propagation algorithm," J. Opt. Soc. Am. A 20, 655-660 (2003). [CrossRef]
  4. M. G. Moharam and A. B. Greenwell, "Efficient rigorous calculations of power flow in grating coupled surface-emitting devices," Proc. SPIE 5456, 57-67 (2004).
  5. M. G. Moharam, E. B. Grann, and D. A. Pommet, "Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings," J. Opt. Soc. Am. A 12, 1068-1076 (1995). [CrossRef]
  6. P. Lalanne and G. M. Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Am. A 13, 779-784 (1996). [CrossRef]
  7. P. Lalanne, "Improved formulation of the coupled-wave method for two-dimensional gratings," J. Opt. Soc. Am. A 14, 1592-1598 (1997). [CrossRef]
  8. E. Silberstein, P. Lalanne, J. P. Hugonin, and Q. Cao, "Use of grating theories in integrated optics," J. Opt. Soc. Am. A 18, 2865-2875 (2001). [CrossRef]
  9. P. Lalanne and E. Silberstein, "Fourier-modal methods applied to waveguide computational problems," Opt. Lett. 25, 1092-1094 (2000). [CrossRef]
  10. H. Kim, S. Kim, I.-M. Lee, and B. Lee, "Pseudo-Fourier modal analysis on dielectric slabs with arbitrary longitudinal permittivity and permeability profiles," J. Opt. Soc. Am. A 23, 2177-2191 (2006). [CrossRef]
  11. H. Kim and B. Lee, "Analysis of TIR holography using pseudo-Fourier modal analysis method," Proc. SPIE 6314, 63141C (2006). [CrossRef]
  12. M. G. Moharam, D. A. Pommet, and E. B. Grann, "Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance matrix approach," J. Opt. Soc. Am. A 12, pp. 1077-1086 (1995). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited