Inverse obstacle scattering with non-over-determined data
نویسندگان
چکیده
منابع مشابه
Uniqueness of the solution to inverse obstacle scattering with non-over-determined data
It is proved that the scattering amplitude A(β, α0, k0), known for all β ∈ S2, where S2 is the unit sphere in R3, α0 ∈ S2 is fixed, k0 > 0 is fixed, determines the surface S of the obstacle and the boundary condition on S uniquely. The boundary condition on S is either the Dirichlet, or Neumann, or the impedance one. The uniqueness theorems for the solution of inverse scattering problems with n...
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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 کاملThe enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval
A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is generated by an initial data with compact support outside the surface. The method yields the distance from a given point outside the surface to obstacles and thus mo...
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This work is a study of the extension of an inverse obstacle scattering algorithm for fixed, single-frequency data to multi-frequency time-dependent settings. The inversion algorithm is based on the point source method, which reconstructs scattered fields pointwise with respect to frequency. We use Fourier transforms to obtain the time-dependent scattered fields as superpositions of single-freq...
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ژورنال
عنوان ژورنال: Global Journal of Mathematical Analysis
سال: 2018
ISSN: 2307-9002
DOI: 10.14419/gjma.v6i1.8887