Inverse scattering for shape and impedance revisited
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© 2018 Rocky Mountain Mathematics Consortium. The inverse scattering problem under consideration is to reconstruct both the shape and the impedance function of an impenetrable two-dimensional obstacle from the far field pattern for scattering of timeharmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that is based on a system of nonlinear boundary integral equations associated with a single-layer potential approach to solve the forward scattering problem. This extends the approach we suggested for an inverse boundary value problem for harmonic functions in  and is a counterpart of our earlier work on inverse scattering for shape and impedance in . We present the mathematical foundation of the method and exhibit its feasibility by numerical examples.
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