Imaging of local rough surfaces by the linear sampling method with near-field data
Imaging of local rough surfaces by the linear sampling method with near-field data
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DOI：
10.1137/16m1097997
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发表时间：
2017
影响因子：
2.1
通讯作者：
杨家青
中科院分区：
文献类型：
--
作者：
丁萌;李建樑;刘可汲;杨家青
Consider the scattering of a time-harmonic point source from an unbounded rough surface. The.surface is assumed to be different from a plane surface over a finite interval, which leads to that.the model problem can be reduced to an equivalent boundary value problem with the compactly.supported boundary data. The well-posedness is thus proved by employing the variational method.with the classical Fredholm theory. By constructing a modied near-eld equation, we then propose.a novel sampling type method for reconstructing the shape and location of the local rough surface,.yielding a fast imaging algorithm. Numerical experiments are presented to illustrate the efectiveness.of the method.
