The No Response Test---A Sampling Method for Inverse Scattering Problems
نویسندگان
چکیده
منابع مشابه
The no response test - a sampling method for for inverse scattering problems
We describe a novel technique, which we call the no response test, to locate the support of a scatterer from knowledge of a far-field pattern of a scattered acoustic wave. The method uses a set of sampling surfaces and a special test response to detect the support of a scatterer without a priori knowledge of the physical properties of the scatterer. Specifically, the method does not depend on i...
متن کاملThe No Response Test---A Sampling Method for Inverse Scattering Problems
We describe a novel technique, which we call the no response test, to locate the support of a scatterer from knowledge of a far-field pattern of a scattered acoustic wave. The method uses a set of sampling surfaces and a special test response to detect the support of a scatterer without a priori knowledge of the physical properties of the scatterer. Specifically, the method does not depend on i...
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A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n×n sampling mesh in R2 or an n×n×n sampling mesh in R3, the proposed algorithm requires one to solve only O(nN−1) far-field equations for a RN problem (N=2,3), and th...
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In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric/magnetic near-field data. We shall develop a novel direct sampling method based on an analysis of electromagnetic scattering and the behavior of the fundamental solution. It is applicable to a few incident fields and needs only to compute...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2003
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139902406887