A transmission eigenvalue is a wavenumber at which the scattering operator has a non-trivial kernel or cokernel. Because many sampling methods for locating scatterers succeed only at wavenumbers that are not transmission eigenvalues, they have been studied for some time.
This new problem is called the transmission eigen- value problem and in a certain sense exhibits a duality re- lation to the theory of scattering resonances.
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A transmission eigenvalue is a wavenumber at which the scattering operator has a nontrivial kernel or cokernel. Because many sampling methods for locating ...
transmission eigenvalues, Leung-Colton, (to appear). Inverse spectral problem. All transmission eigenvalues uniquely determine n(r) provide n(0) is given and ...
If the scattering operator has a zero eigenvalue, we say that k2 is a trans- mission eigenvalue. It follows form Rellich's theorem and unique continuation.
Oct 15, 2021 · Transmission eigenvalues are related to interrogating frequencies for which there is an incident field that is not scattered by the medium. In ...
1. Transmission eigenvalues are associated with the existence of an incident field that does not scatter [1,2,3]. They can be equivalently defined as the ...
Transmission eigenvalues are related to interrogating frequencies for which there is an incident field that doesn't scatterer by the medium. ... In particular, it ...
The homogeneous form of the interior transmission problem is referred to as the transmission eigenvalue problem and the corresponding eigenvalues as ...
Jan 15, 2020 · In this paper, we formulate the transmission eigenvalue problem for anisotropic media as an eigenvalue problem of a holomorphic Fredholm operator function of ...