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- Title
A METHOD FOR SOLVING THE INVERSE SCATTERING PROBLEM FOR SHAPE AND IMPEDANCE.
- Authors
Ali Yang; Liantang Wang
- 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.
- Subjects
INVERSE scattering transform; INVERSE problems; HELMHOLTZ equation; STOCHASTIC convergence; SCATTERING (Mathematics)
- Publication
Journal of Computational Mathematics, 2008, Vol 26, Issue 4, p624
- ISSN
0254-9409
- Publication type
Article