Spectral analysis of the interior transmission eigenvalue problem
نویسندگان
چکیده
منابع مشابه
The Interior Transmission Eigenvalue Problem
Abstract. We consider the inverse problem of determining the spherically symmetric index of refraction n(r) from a knowledge of the corresponding transmission eigenvalues (which can be determined from field pattern of the scattered wave). We also show that for constant index of refraction n(r) = n, the smallest transmission eigenvalue suffices to determine n, complex eigenvalues exist for n suf...
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We study the so-called interior transmission problem using the T-coercivity approach. In particular, we prove that this problem, which appears when one is interested in the reconstruction of the support of an inclusion embedded in a homogeneous medium, is of Fredholm type and that so-called transmission eigenvalues form at most a discrete set. The simple technique we propose allows to treat cas...
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In the recent years the transmission eigenvalue problem has been extensively studied for non-absorbing media. In this paper we initiate the study of this problem for absorbing media. In particular we show that, in the case of absorbing media, transmission eigenvalues form a discrete set, exist for sufficiently small absorption and for spherically stratified media exist without this assumption. ...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2013
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/29/10/104001