The Existence of an Infinite Discrete Set of Transmission Eigenvalues
The Existence of an Infinite Discrete Set of Transmission Eigenvalues
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DOI：
10.1137/090769338
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发表时间：
2010-02
期刊：
影响因子：
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通讯作者：
F. Cakoni;D. Gintides;H. Haddar
中科院分区：
文献类型：
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作者：
F. Cakoni;D. Gintides;H. Haddar
我们证明了存在一个无限离散的传输本征值对应的各向同性和各向异性非均匀介质的散射问题的亥姆霍兹和麦克斯韦方程组。我们的讨论包括了具有空腔的非均匀介质的内部传输问题，即，对比度为零的子区域。
We prove the existence of an infinite discrete set of transmission eigenvalues corresponding to the scattering problem for isotropic and anisotropic inhomogeneous media for both the Helmholtz and Maxwell's equations. Our discussion includes the case of the interior transmission problem for an inhomogeneous medium with cavities, i.e., subregions with contrast zero.