An acoustic scattering problem for periodic, inhomogeneous media
An acoustic scattering problem for periodic, inhomogeneous media
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DOI：
10.1002/(sici)1099-1476(19980710)21:10
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发表时间：
1998-07
影响因子：
2.9
通讯作者：
Beata Strycharz
中科院分区：
文献类型：
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作者：
Beata Strycharz
本文研究周期性、非均匀、可穿透介质的散射问题。利用Dirichlet-to-Neumann算子，我们导出了一个变分方程，并给出了正则性结果，以证明这两个公式的等价性。我们提出了一定的唯一性结果，其中的Fredholm替代产量的存在性的解决方案和它的连续依赖于传入波。我们证明了特殊入射波的解的存在性，即使没有唯一性。给出了解与波数和入射角的解析关系。
We study the problem of the scattering by a periodic, inhomogeneous, penetrable medium. Using the Dirichlet-to-Neumann operator from the classical formulation of the problem we derive a variational equation and give regularity result to show the equivalence of both formulations. We present certain uniqueness results, which by the Fredholm alternative yield existence of the solution and its continuous dependence on the incoming wave. We prove existence of a solution for special incident waves even if there is no uniqueness. A result about analytical dependence of the solution on the wave number and the incident angle is given.