Inverse elastic scattering for a random source
Inverse elastic scattering for a random source
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DOI：
10.1137/18m1235119
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
李培军
中科院分区：
文献类型：
--
作者：
李建樑;李培军
Consider the inverse random source scattering problem for the two-dimensional timeharmonic.elastic wave equation with a linear load. The source is modeled as a microlocally isotropic.generalized Gaussian random function whose covariance operator is a classical pseudodifferential.operator. The goal is to recover the principal symbol of the covariance operator from the displacement.measured in a domain away from the source. For such a distributional source, we show that the direct.problem has a unique solution by introducing an equivalent Lippmann--Schwinger integral equation..For the inverse problem, we demonstrate that, with probability one, the principal symbol of the.covariance operator can be uniquely determined by the amplitude of the displacement averaged over.the frequency band, generated by a single realization of the random source. The analysis employs.the Born approximation, asymptotic expansions of the Green tensor, and microlocal analysis of the.Fourier integral operators.
