Transmission eigenvalues and thermoacoustic tomography release_3nayodqbhfgrfhxcba4fubfgza

by David Finch, Kyle S. Hickmann

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(2013)

Abstract

The spectrum of the interior transmission problem is related to the unique determination of the acoustic properties of a body in thermoacoustic imaging. Under a non-trapping hypothesis, we show that sparsity of the interior transmission spectrum implies a range separation condition for the thermoacoustic operator. In odd dimension greater than or equal to three, we prove that the transmission spectrum for a pair of radially symmetric non-trapping sound speeds is countable, and conclude that the ranges of the associated thermoacoustic maps have only trivial intersection.
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Type  article
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Date   2013-06-23
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Language   en ?
arXiv  1306.5481v1
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