Abstract

A powerful approach is presented for numerical solution of diffraction by a sinusoidal grating. Basically the method of solution is the mode-matching method with the smoothing procedure that we have already presented [ J. Opt. Soc. Am. 72, 847 ( 1982); J. Opt. Soc. Am. 73, 1305 ( 1983)]. We invoke a mathematical technique that enables us to obtain rapidly an approximate solution in terms of a truncated plane-wave expansion. Numerical data for an E-polarized problem show the effectiveness of the present method: The computation time is reduced to one tenth compared with the numerical method in our previous work. The algorithm for an H-polarized problem is included.

© 1985 Optical Society of America

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