Efficient Operator Marching Method for Analyzing Crossed Arrays of Cylinders

Efficient Operator Marching Method for Analyzing Crossed Arrays of Cylinders

Year:    2015

Communications in Computational Physics, Vol. 18 (2015), Iss. 5 : pp. 1461–1481

Abstract

Periodic structures involving crossed arrays of cylinders appear as special three-dimensional photonic crystals and cross-stacked gratings. Such a structure consists of a number of layers where each layer is periodic in one spatial direction and invariant in another direction. They are relatively simple to fabricate and have found valuable applications. For analyzing scattering properties of such structures, general computational electromagnetics methods can certainly be used, but special methods that take advantage of the geometric features are often much more efficient. In this paper, an efficient method based on operators mapping electromagnetic field components between two spatial directions is developed to analyze structures with crossed arrays of circular cylinders. The method is much simpler than an earlier method based on similar ideas, and it does not require evaluating slowly converging lattice sums.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.100614.270315a

Communications in Computational Physics, Vol. 18 (2015), Iss. 5 : pp. 1461–1481

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords: