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IEEE Transactions on Antennas and Propagation
Volume 48 Number 6, June 2000

Table of Contents for this issue

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A Hybrid FEM-Based Procedure for the Scattering from Photonic Crystals Illuminated by a Gaussian Beam

Giuseppe Pelosi, Fellow, IEEE Alessandro Cocchi and Agostino Monorchio Member, IEEE

Page 973.

Abstract:

In this paper, we provide an efficient numerical procedure for evaluating the field scattered by two-dimensional (2-D) photonic crystals when they are illuminated by Gaussian beams. In particular, the incident Gaussian beam is interpreted as a spectrum of both homogeneous and inhomogeneous plane waves. The scattering of each plane wave is analyzed by resorting to a hybrid technique combining the finite-element method (FEM) with a Floquet modal expansion. Moreover, by applying the standard saddle point method, the evaluation of the field at a specific point of the exterior medium is reduced to the contribution of the fundamental Floquet mode of a single plane wave belonging to the incident spectrum, strongly enhancing numerical efficiency.

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