Inverse scattering by a multilayered obstacle

Inverse acoustic scattering by small-obstacle expansion of misfit function

This article concerns an extension of the topological derivative concept for 3D inverse acoustic scattering problems, whereby the featured cost function J is expanded in powers of the characteristic size ε of a sound-hard scatterer about ε = 0. The O(ε) approximation of J is established for a small scatterer of arbitrary shape of given location embedded in an arbitrary acoustic domain, and gene...

Inverse obstacle scattering in the time domain

This work is a study of the extension of an inverse obstacle scattering algorithm for fixed, single-frequency data to multi-frequency time-dependent settings. The inversion algorithm is based on the point source method, which reconstructs scattered fields pointwise with respect to frequency. We use Fourier transforms to obtain the time-dependent scattered fields as superpositions of single-freq...

Inverse obstacle scattering for elastic waves

A Global Uniqueness for Formally Determined Inverse Electromagnetic Obstacle Scattering

It is proved that a general polyhedral perfect conducting obstacle in R, possibly consisting of finitely many solid polyhedra, is uniquely determined by the far-field pattern corresponding to a single incident wave. This improves earlier results in the literature to the formally determined case. Mathematics Subject Classification (2000). Primary. 78A46, 35R30 Secondary. 35P25, 35Q60

A Conformal Mapping Method in Inverse Obstacle Scattering

s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c © 2013 University of Tartu A CONFORMAL MAPPING METHOD IN INVERSE OBSTACLE SCATTERING RAINER KRESS Institut für Numerische und Angewandte Mathematik, Universität Göttingen Lotzestraße 16–18, 37083 Göttingen, Germany E-mail: [email protected] In a series of papers Akduman [1], Haddar [2] and Kress [5] have employed a conformal ...