The inverse scattering problem for cavities with impedance boundary condition |
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Authors: | Hai-Hua Qin David Colton |
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Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, People??s Republic of China 2. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA
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Abstract: | We consider the inverse scattering problem of determining the shape of a cavity with impedance boundary condition from sources
and measurements placed on a curve inside the cavity. It is shown that both the shape ?D\partial D of the cavity and the surface impedance λ are uniquely determined by the measured data and numerical methods are given for determining both ?D\partial D and λ where neither one is known a priori. Numerical examples are given showing the viability of our method. |
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