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Hybrid finite-element–analytical method for the analysis of diffraction from metallic gratings of arbitrary profile

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Abstract

A hybrid iterative technique for the analysis of plane-wave diffraction from metallic gratings of arbitrary profile is presented. The finite-element method is used to model the field in the interior (groove) region, and the Floquet space harmonics expansion is used in the exterior region. Coupling of the two solutions is performed by the subregion iterative technique. In this way the symmetry and sparsity of the finite-element equations are fully exploited, and the number of Floquet harmonics can be set independent of the finite-element grid. Application to a rectangular and a sawtooth grating verifies the effectiveness of the proposed method.

© 1995 Optical Society of America

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