Increasing stability for the inverse source scattering problem with multi-frequencies
Increasing stability for the inverse source scattering problem with multi-frequencies
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DOI：
10.3934/ipi.2017035
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发表时间：
2016-07
期刊：
影响因子：
--
通讯作者：
Peijun Li;Ganghua Yuan
中科院分区：
文献类型：
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作者：
Peijun Li;Ganghua Yuan
考虑二维或三维亥姆霍兹方程的散射，其中电流密度的源被假定为在球中被紧支撑。本文研究了源散射反问题的稳定性分析，即重构源函数。我们的结果表明，增加稳定性的反问题，可以得到只有使用Dirichlet边界数据与多频率。
Consider the scattering of the two- or three-dimensional Helmholtz equation where the source of the electric current density is assumed to be compactly supported in a ball. This paper concerns the stability analysis of the inverse source scattering problem which is to reconstruct the source function. Our results show that increasing stability can be obtained for the inverse problem by using only the Dirichlet boundary data with multi-frequencies.