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Transmission Eigenvalues and Thermoacoustic Tomography Public Deposited

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  • 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 dimensions greater than or equal to three, we prove that the interior 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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  • Finch, D., & Hickmann, K. S. (2013). Transmission eigenvalues and thermoacoustic tomography. Inverse Problems, 29(10) doi:10.1088/0266-5611/29/10/104016
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  • Supported in part by NSF Grant DMS-100914.
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