Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements

Abstract : We consider non-absorbing inhomogeneous media represented by some refraction index. We have developed a method to reconstruct, from far-field measurements, the shape of the areas where the actual index differs from a reference index. Following the principle of the Factorization Method, we present a fast reconstruction algorithm relying on far field measurements and near field values, easily computed from the reference index. Our reconstruction result is illustrated by several numerical test cases.
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Inverse Problems, IOP Publishing, 2012, 8 (5), pp.055003. <10.1088/0266-5611/28/5/055003>
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Yann Grisel, Vincent Mouysset, Pierre-Alain Mazet, Jean-Pierre Raymond. Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements. Inverse Problems, IOP Publishing, 2012, 8 (5), pp.055003. <10.1088/0266-5611/28/5/055003>. <hal-00805796>

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