Reconstructing small perturbations of scatterers from electric or acoustic far‐field measurements |
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| Authors: | Mikyoung Lim Kaouthar Louati Habib Zribi |
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| Affiliation: | 1. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France;2. College of Electronics and Information, Kyung Hee University, Kyungki 449‐701, Korea |
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| 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. |
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| Keywords: | small boundary perturbations conductor asymptotic expansions Dirichlet‐to‐Neumann map boundary integral method reconstruction Laplace equation Helmholtz equation |
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