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A hybrid FEM-based procedure for the scattering from photonic crystals illuminated by a Gaussian beam

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3 Author(s)
Pelosi, G. ; Dept. of Electron. & Telecommun., Florence Univ., Italy ; Cocchi, A. ; Monorchio, A.

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 the numerical efficiency

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Antennas and Propagation, IEEE Transactions on  (Volume:48 ,  Issue: 6 )