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Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. (English)
[J] Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 4, 661-682 (2004). ISSN 0308-2105; ISSN 1473-7124/e

This paper is concerned with studying the application of the linear sampling method to solving the inverse scattering problem of constructing the shape of partly coated Lipschitz domains (i.e. domains which allow mixed boundary conditions on each of their components). The method has direct military applications in identifying hidden or unreachable objects coated with unknown materials to avoid detection. The authors show the usage and practicality of the method through mathematical analysis and numerical examples.
[Bogdan G. Nita (Upper Montclair)]

MSC 2000:: *78A46 Inverse scattering problems
35P25 Scattering theory (PDE)
35Q60 PDE of electromagnetic theory and optics
35R30 Inverse problems for PDE

Keywords: inverse scattering; linear sampling method; partly coated domains

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