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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