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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 7 — Jul. 1, 1982
  • pp: 963–969

Reflection by a grating: Rayleigh methods: comments

A. Wirgin  »View Author Affiliations


JOSA, Vol. 72, Issue 7, pp. 963-969 (1982)
http://dx.doi.org/10.1364/JOSA.72.000963


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Abstract

It is shown, contrary to the assertions of van den Berg,1 that (1) the validity of the Rayleigh hypothesis has not been confirmed numerically, (2) the Rayleigh—Fourier (RF) method gives useful far-field results for sinusoidal gratings with height/period ratios far exceeding 0.3, (3) the Rayleigh—Yasuura method is not generally convergent in a numerical sense and is much less useful than the RF method, (4) the integrated-square error of the boundary condition is not a more reliable check of a numerical solution than the energy-balance error.

© 1982 Optical Society of America

Citation
A. Wirgin, "Reflection by a grating: Rayleigh methods: comments," J. Opt. Soc. Am. 72, 963-969 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-7-963

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