The domain derivative and two applications in inverse scattering theory
- 1 February 1993
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 9 (1) , 81-96
- https://doi.org/10.1088/0266-5611/9/1/005
Abstract
The author recalls the notion of the domain derivative of a functional. The existence and a characterization of the domain derivative of the far-field pattern for a scattering problem with Dirichlet boundary condition is proved. The second part uses this characterization for an efficient implementation of a Gauss-Newton method for solving the inverse obstacle scattering problem. The author deals with the sensitivity of the linearized obstacle problem.Keywords
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