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The inverse discrete transmission eigenvalue problem for absorbing media

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Abstract The inverse problem for the discrete analogue of the transmission eigenvalue problem for absorbing media with a spherically symmetric index of refraction is considered. Some uniqueness results are provided… Click to show full abstract

Abstract The inverse problem for the discrete analogue of the transmission eigenvalue problem for absorbing media with a spherically symmetric index of refraction is considered. Some uniqueness results are provided which imply that can be recovered uniquely if only the all transmission eigenvalues (counting with their multiples) are given together with partial information on the entries of .

Keywords: transmission; transmission eigenvalue; eigenvalue problem; problem absorbing; absorbing media; problem

Journal Title: Inverse Problems in Science and Engineering
Year Published: 2018

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