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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 4 — Apr. 1, 2003
  • pp: 655–660

Note on the S-matrix propagation algorithm

Lifeng Li  »View Author Affiliations


JOSA A, Vol. 20, Issue 4, pp. 655-660 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000655


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Abstract

A set of full-matrix recursion formulas for the W S variant of the S-matrix algorithm is derived, which includes the recent results of some other authors as a subset. In addition, a special type of symmetry that is often found in the structure of coefficient matrices (W matrices) that appear in boundary-matching conditions is identified and fully exploited for the purpose of increasing computation efficiency. Two tables of floating-point operation (flop) counts for both the new W S variant and the old W t S variant of the S-matrix algorithm are given. Comparisons of flop counts show that in performing S-matrix recursions in the absence of the symmetry, it is more efficient to go directly from W matrices to S matrices. In the presence of the symmetry, however, using t matrices is equally and sometimes more advantageous, provided that the symmetry is utilized.

© 2003 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(050.7330) Diffraction and gratings : Volume gratings

History
Original Manuscript: July 19, 2002
Revised Manuscript: November 4, 2002
Manuscript Accepted: November 4, 2002
Published: April 1, 2003

Citation
Lifeng Li, "Note on the S-matrix propagation algorithm," J. Opt. Soc. Am. A 20, 655-660 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-4-655

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