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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 11, Iss. 12 — Dec. 1, 1994
  • pp: 3241–3250

Differential theory of gratings: extension to deep gratings of arbitrary profile and permittivity through the R-matrix propagation algorithm

F. Montiel and M. Neviere  »View Author Affiliations

JOSA A, Vol. 11, Issue 12, pp. 3241-3250 (1994)

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The analysis of gratings of arbitrary depth, profile, and permittivity is conducted by cutting the modulated region into different slices for which the differential theory of gratings is able to compute the diffracted field for both TE and TM polarization without numerical instabilities. The use of a suitable transition matrix (R matrix) then allows one to analyze the entire stack without encountering the numerical instabilities that generally occur with use of the T-transmission matrix, which is well known in stratified media theory. The use of the R-matrix propagation algorithm provides a breakthrough for grating theoreticians in the sense that it not only permits the study of grating of arbitrary depth but also eliminates the numerical instabilities that have plagued the differential theory in TM polarization during the past 20 years.

© 1994 Optical Society of America

Original Manuscript: February 23, 1994
Revised Manuscript: July 27, 1994
Manuscript Accepted: July 28, 1994
Published: December 1, 1994

F. Montiel and M. Neviere, "Differential theory of gratings: extension to deep gratings of arbitrary profile and permittivity through the R-matrix propagation algorithm," J. Opt. Soc. Am. A 11, 3241-3250 (1994)

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