Abstract

A numerical technique based on the mode-matching method with a smoothing procedure is presented for analyzing the diffraction of electromagnetic waves by a grating. The general algorithm for the problem of an arbitrarily shaped periodic surface is described taking the case of H polarization. To show the validity of this algorithm, plane-wave diffraction by a triangular grating is analyzed, and the results are compared with those obtained by the conventional mode-matching method. It is demonstrated that the sequence of approximate solutions calculated by the algorithm presented in this paper converges to the true solution much faster than the sequence produced by the conventional mode-matching method. Some numerical examples on the efficiency are presented.

© 1982 Optical Society of America

Mode-matching method with a higher-order smoothing procedure for the numerical solution of diffraction by a grating

Y. Okuno and T. Matsuda
J. Opt. Soc. Am. 73(10) 1305-1311 (1983)

Efficient technique for numerical solution of diffraction by a sinusoidal grating

Y. Okuno and T. Matsuda
J. Opt. Soc. Am. A 2(4) 572-577 (1985)

Diffraction analysis of dielectric surface-relief gratings

M. G. Moharam and T. K. Gaylord
J. Opt. Soc. Am. 72(10) 1385-1392 (1982)

Computer-aided algorithm based on the Yasuura method for analysis of diffraction by a grating

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Numerical Method for the Analysis of Diffraction Gratings*

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