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Waves around almost periodic arrangements of scatterers: Analysis of positional disorder

✍ Scribed by P. A. Martin; A. Maurel

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
167 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Much is known about the propagation of waves through periodic arrangements of identical scatterers, such as through a photonic crystal. Here, we consider a simple realization: scalar waves through a regular two‐dimensional array of identical small circles. We are interested in the effect of random disorder: the circles remain identical, but their centres are given small random displacements. We derive asymptotic approximations that can be used to quantify the effect of positional disorder. Extension to more complicated problems seems feasible and is expected. Copyright © 2010 John Wiley & Sons, Ltd.

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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