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Zbl 1105.35322
Di Cristo, Michele; Sun, Jiguang
An inverse scattering problem for a partially coated buried obstacle. (English)
[J] Inverse Probl. 22, No. 6, 2331-2350 (2006). ISSN 0266-5611

Summary: We consider an inverse scattering problem for a perfect conductor that is partially coated by a dielectric. We investigate a method for determining the shape of the object from the Cauchy data of the total field measured on the boundary of a domain containing the object in its interior. We then give a variational characterization of the supremum of the surface impedance and validate the method with some numerical examples. Applications are given to the target identification of a buried partially coated perfect conductor from a knowledge of the electric and magnetic field on the surface of the earth.

MSC 2000:: *35R30 Inverse problems for PDE
78A46 Inverse scattering problems
35P25 Scattering theory (PDE)

Keywords: Helmholtz equation; shape reconstruction; surface impedance; sampling method

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