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An Inverse Transmission Scattering Problem and the Enclosure Method

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Abstract

We consider an inverse scattering problem in two-dimensions for a penetrable polygonal obstacle having different density from the back ground medium, however, the speed of sound is constant in the whole space. Using a single set of the Cauchy data of the response for a single incident plane wave with a fixed wave number on a circle surrounding the obstacle, we give an extraction formula of the convex hull of the obstacle. An algorithm based on the formula is also described.

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  1. Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu, 376-8515, Japan

    M. Ikehata

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  1. M. Ikehata
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Ikehata, M. An Inverse Transmission Scattering Problem and the Enclosure Method. Computing 75, 133–156 (2005). https://doi.org/10.1007/s00607-004-0100-4

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  • DOI: https://doi.org/10.1007/s00607-004-0100-4

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