Abstract

We consider diffraction of an arbitrary two-dimensional electromagnetic field by a lamellar dielectric structure of arbitrary form, which fills a slit aperture in a conducting screen of finite thickness. The problem is treated rigorously, by expanding the field inside the index-modulated aperture in the form of a series of exact eigenfunctions. This discrete set of eigenfunctions is obtained by means of the theory of stratified media, combined with the appropriate boundary conditions at the perfectly conducting edges of the aperture. Then the eigenmode expansion is matched to the angular spectrum representations of the incident, forward-diffracted, and backward-diffracted fields to determine the total field everywhere in space. Numerical implementation and convergence properties of the method are discussed. Some illustrations of diffraction by nonperiodic structures are given.

© 1996 Optical Society of America

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