Transmission Eigenvalues and Thermoacoustic Tomography

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/1g05fh354

Descriptions

Attribute Name	Values
Creator	Finch, David Hickmann, Kyle S.
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 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. Keywords: Radial Symmetry, Hybrid Imaging Methods, Interior Transmission Problem, Acoustics, Transmission Eigenvalues, Thermoacoustic Tomography
Resource Type	Article
DOI	https://doi.org/10.1088/0266-5611/29/10/104016
Date Available	2014-10-01T08:00:11+00:00
Date Issued	2013-10
Citation	Finch, D., & Hickmann, K. S. (2013). Transmission eigenvalues and thermoacoustic tomography. Inverse Problems, 29(10) doi:10.1088/0266-5611/29/10/104016
Journal Title	Inverse Problems
Journal Volume	29
Journal Issue/Number	10
Academic Affiliation	Mathematics
Declaração de direitos	Copyright Not Evaluated
Funding Statement (additional comments about funding)	Supported in part by NSF Grant DMS-100914.
Publisher	IOP Publishing Ltd.
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/45404