A two dimensional ınverse scattering problem for shape and conductive function for a dielectic cylinder
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The inverse problem under consideration is to simultaneously reconstruct the conductive function and shape of a coated homogeneous dielectric infinite cylinder from the far-field pattern for scattering of a time-harmonic E-polarized electromagnetic plane wave. We propose an inverse algorithm that combine the approaches suggested by Ivanyshyn et al. [1-3], and extend the approaches from the case of impenetrable scatterer to the case of penetrable scatterer. It is based on a system of non-linear boundary integral equation associated with a single-layer potential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples.