The Existence of an Infinite Discrete Set of Transmission Eigenvalues
نویسندگان
چکیده
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.
منابع مشابه
On the interior transmission eigenvalue problem
We consider the transmission eigenvalue problem corresponding to the scattering problem for anisotropic media for both the scalar Helmholtz equation and Maxwell’s equations in the case when the contrast in the scattering media occurs in two independent functions. We prove the existence of an infinite discrete set of transmission eigenvalues provided that the two contrasts are of opposite signs....
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 42 شماره
صفحات -
تاریخ انتشار 2010