Transmission Eigenvalues
نویسندگان
چکیده
The scattering of a time-harmonic plane wave in an inhomogeneous medium is modeled by the scattering problem for the Helmholtz equation. 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. Nevertheless, the existence of transmission eigenvalues has previously been proved only for radial scatterers. In this paper, we prove existence for scatterers without radial symmetry.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 40 شماره
صفحات -
تاریخ انتشار 2008