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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 6 — Jun. 1, 2002
  • pp: 1157–1161

Note on formulation of the enhanced scattering- (transmittance-) matrix approach

Eng Leong Tan  »View Author Affiliations

JOSA A, Vol. 19, Issue 6, pp. 1157-1161 (2002)

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The enhanced transmittance matrix approach developed by Moharam et al. [J. Opt. Soc. Am. A 12, 1077 (1995)] is reformulated in a concise and illuminating form in terms of scattering (reflection and transmission) matrices directly. Two equivalent recursive formulations, corresponding to their full- and partial-solution approaches, are presented and extended to allow simultaneous determination of both reflected and transmitted amplitudes. The relationships between these formulations and the S-matrix algorithm, together with their relative efficiencies and usefulness, are ascertained and compared by means of compact formulas featuring parallel algebraic structures. It is made evident that given the eigenmode solutions, the enhanced approach is the most direct and efficient way for deducing global scattering matrices.

© 2002 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(230.4170) Optical devices : Multilayers

Original Manuscript: September 7, 2001
Revised Manuscript: January 14, 2002
Manuscript Accepted: January 14, 2002
Published: June 1, 2002

Eng Leong Tan, "Note on formulation of the enhanced scattering- (transmittance-) matrix approach," J. Opt. Soc. Am. A 19, 1157-1161 (2002)

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