A combined three-dimensional finite element and scattering matrix method for the analysis of plane wave diffraction by bi-periodic,multilayered structures |
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Authors: | Kokou B Dossou Lindsay C Botten |
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Institution: | Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Mathematical Sciences, University of Technology, Sydney, P.O. Box 123, Broadway, New South Wales 2007, Australia |
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Abstract: | A three-dimensional finite element method (FEM) for the analysis of plane wave diffraction by a bi-periodic slab is described and implemented. A scattering matrix formalism based on the FEM allows the efficient treatment of light reflection and transmission by multilayer bi-periodic structures, and the computation of Bloch modes of three-dimensional arrays. Numerical simulations, which show the accuracy and flexibility of the FEM, are presented. |
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