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Spherical space Bessel-Legendre-Fourier mode solver for Maxwell's wave equations
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Paper Abstract

For spherically symmetric dielectric structures, a basis set composed of Bessel, Legendre and Fourier functions, BLF, are used to cast Maxwell's wave equations into an eigenvalue problem from which the localized modes can be determined. The steps leading to the eigenmatrix are reviewed and techniques used to reduce the order of matrix and tune the computations for particular mode types are detailed. The BLF basis functions are used to expand the electric and magnetic fields as well as the inverse relative dielectric profile. Similar to the common plane wave expansion technique, the BLF matrix returns the eigen-frequencies and eigenvectors, but in BLF only steady states, non-propagated, are obtained. The technique is first applied to a air filled spherical structure with perfectly conducting outer surface and then to a spherical microsphere located in air. Results are compared published values were possible.

Paper Details

Date Published: 27 February 2015
PDF: 11 pages
Proc. SPIE 9371, Photonic and Phononic Properties of Engineered Nanostructures V, 93711S (27 February 2015); doi: 10.1117/12.2076061
Show Author Affiliations
Mohammed A. Alzahrani, Carleton Univ. (Canada)
Robert C. Gauthier, Carleton Univ. (Canada)

Published in SPIE Proceedings Vol. 9371:
Photonic and Phononic Properties of Engineered Nanostructures V
Ali Adibi; Shawn-Yu Lin; Axel Scherer, Editor(s)

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