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Mathematical modeling of crossed nanophotonic structures with generalized scattering-matrix method and local Fourier modal analysis

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Abstract

We propose a novel electromagnetic analysis scheme for crossed nanophotonic structures. The developed scheme is based on the mathematical modeling with the local Fourier modal analysis and the generalized scattering-matrix method. The mathematical Bloch eigenmodes of two-port block and four-port intersection block structures are analyzed by the local Fourier modal analysis. The interconnections of two-port blocks and four-port intersection block are described by the generalized scattering-matrix method. This scheme provides the linear system theory of general crossed nanophotonic structures.

© 2008 Optical Society of America

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