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Reconstructing small perturbations of scatterers from electric or acoustic far-field measurements

✍ Scribed by Mikyoung Lim; Kaouthar Louati; Habib Zribi


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
144 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

In this paper, we consider the problem of determining the boundary perturbations of an object from far‐field electric or acoustic measurements. Assuming that the unknown scatterer boundary is a small perturbation of a circle, we develop a linearized relationship between the far‐field data and the shape of the object. This relationship is used to find the Fourier coefficients of the perturbation of the shape. Copyright © 2008 John Wiley & Sons, Ltd.