Integral equation methods in inverse obstacle scattering

✍ Scribed by Rainer Kress

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 798 KB
• Volume: 15
• Category: Article
• ISSN: 0955-7997
• DOI: 10.1016/0955-7997(95)00015-g

✦ Synopsis

The inverse problem we consider is to determine the shape of an obstacle from a knowledge of the far field pattern for the scattering of incident time-harmonlc acoustic (or electromagnetic) plane waves. It occurs in a variety of applications and is difficult to solve since it is nonlinear and improperly posed. In this survey we shall describe two integral equation methods for the approximate numerical solution of the inverse obstacle scattering problem in the resonance region.