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On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets
Author(s) -
Krzysztof A. Michalski,
Mazin M. Mustafa
Publication year - 2018
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2018.0288
Subject(s) - planar , computation , anisotropy , scattering , dielectric , electrical conductor , modal , materials science , cauchy distribution , matrix (chemical analysis) , dispersion (optics) , optics , dispersion relation , mathematical analysis , physics , mathematics , computer science , optoelectronics , algorithm , composite material , computer graphics (images)
A reliable method is presented for the computation of the propagation constants and the corresponding hybrid modal fields in multilayered planar dielectric stacks comprising multiple anisotropic conducting sheets. The appropriate dispersion functions (DFs) are formulated and evaluated using a numerically stable scattering matrix methodology. The roots of the DFs are computed by the Cauchy integration method with automatic differentiation of the DF.

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