Abstract

Since 1990, the electromagnetic theory of gratings has received considerable attention from the applied mathematics community. Several approaches and numerical methods have been developed, including integral methods Dobson and Friedman [9], analytical continuation method Bruno and Reitich [7], and variational methods Dobson [8], Abboud [1], and Bao [3]. Significant results on existence, uniqueness, and convergence of solutions of the Maxwell have been obtained. We refer to Bao, Dobson, and Cox [5] for a survey of recent mathematical and computational results. A good introduction to the problem of electromagnetic diffraction through periodic structures can be found in Petit [12]. See also Gaylord and Moharam [10], Li [11], … for other approaches, particularly along the line of differential methods.

© 1998 Optical Society of America