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A quasi‐planar incident wave excitation for time‐domain scattering analysis of periodic structures
Author(s) -
Degerfeldt David,
Halleröd Tomas,
Emilsson Börje,
Bondeson Anders,
Rylander Thomas
Publication year - 2006
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.619
Subject(s) - scattering , superposition principle , physics , wavelength , planar , plane wave , time domain , optics , excitation , frequency domain , plane (geometry) , computational physics , mathematical analysis , mathematics , geometry , quantum mechanics , computer science , computer graphics (images) , computer vision
Abstract We present a quasi‐planar incident wave excitation for time‐domain scattering analysis of periodic structures. It uses a particular superposition of plane waves that yields an incident wave with the same periodicity as the periodic structure itself. The duration of the incident wave is controlled by means of its frequency spectrum or, equivalently, the angular spread in its constituting plane waves. Accuracy and convergence properties of the method are demonstrated by scattering computations for a planar dielectric half‐space. Equipped with the proposed source, a time‐domain solver based on linear elements yields an error of roughly 1% for a resolution of 20 points per wavelength and second‐order convergence is achieved for smooth scatterers. Computations of the scattering characteristics for a sinusoidal surface and a random rough surface show similar performance. Copyright © 2006 John Wiley & Sons, Ltd.