Uniqueness and numerical methods in inverse obstacle scattering
نویسندگان
چکیده
منابع مشابه
Uniqueness and numerical methods in inverse obstacle scattering
The inverse problem we consider in this tutorial is to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic plane waves. In the first part we will concentrate on the issue of uniqueness, i.e., we will investigate under what conditions an obstacle and its boundary condition can be identified from a knowledge of its far field pattern for i...
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The inverse problem we consider in this survey is to determine the shape of an obstacle from the knowledge of the far field pattern for the scattering of time-harmonic electromagnetic waves. We will concentrate on uniqueness issues, i.e., we will investigate under what conditions an obstacle and its boundary condition can be identified from a knowledge of its far field patterns for incident pla...
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For the Neumann and Robin boundary conditions the uniqueness theorems for inverse obstacle scattering problems are proved in Lipschitz domains. The role of non-smoothness of the boundary is analyzed.
متن کاملA Global Uniqueness for Formally Determined Inverse Electromagnetic Obstacle Scattering
It is proved that a general polyhedral perfect conducting obstacle in R, possibly consisting of finitely many solid polyhedra, is uniquely determined by the far-field pattern corresponding to a single incident wave. This improves earlier results in the literature to the formally determined case. Mathematics Subject Classification (2000). Primary. 78A46, 35R30 Secondary. 35P25, 35Q60
متن کاملUniqueness of the Solution to Inverse Obstacle Scattering Problem
It is proved that the scattering amplitude known at a fixed frequency, a fixed direction of the incident plane wave and all directions of the scattered wave in a solid angle, however small, determine uniquely the shape of a strictly convex obstacle with a smooth but not analytic boundary on which the Dirichlet boundary condition is assumed.
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2007
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/73/1/012003