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Efficient Operator Marching Method for Analyzing Crossed Arrays of Cylinders

Part of: Optics, electromagnetic theory - General Optics, electromagnetic theory - Basic methods

Published online by Cambridge University Press:  23 November 2015

Yu Mao Wu  and
Ya Yan Lu
Yu Mao Wu
Affiliation:
Key Laboratory for Information Science of Electromagnetic Waves (MoE), School of Information Science and Technology, Fudan University, Shanghai, China.
Ya Yan Lu*
Affiliation:
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong.
*
*Corresponding author. Email addresses: [email protected] (Y. M. Wu), [email protected] (Y. Y. Lu)
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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.

Keywords

Periodic structurePhotonic crystalOperator marchingScattering problem

MSC classification

Secondary: 78M25: Other numerical methods 78M16: Multipole methods 78A45: Diffraction, scattering
Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 5 , November 2015 , pp. 1461 - 1481
Copyright
Copyright © Global-Science Press 2015 

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