A Method for Solving the Inverse Scattering Problem for Shape and Impedance

A Method for Solving the Inverse Scattering Problem for Shape and Impedance

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 4 : pp. 624–632

Abstract

The inverse problem considered in this paper is to determine the shape and the impedance of an obstacle from a knowledge of the time-harmonic incident field and the phase and amplitude of the far field pattern of the scattered wave in two-dimension. Single-layer potential is used to approach the scattered waves. An approximation method is presented and the convergence of the proposed method is established. Numerical examples are given to show that this method is both accurate and easy to use.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8646

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 4 : pp. 624–632

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Impedance boundary condition Helmholtz equation Inverse scattering Convergence.