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An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography

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ABSTRACT We study an inverse spectral theory in the thermo- and photo-acoustic tomography in imaging science. Under certain non-trapping hypothesis, we study the zero set of the Fourier transform of… Click to show full abstract

ABSTRACT We study an inverse spectral theory in the thermo- and photo-acoustic tomography in imaging science. Under certain non-trapping hypothesis, we study the zero set of the Fourier transform of the observation data. The zero set corresponds to the spectrum of the interior transmission problem. We reduce the problem into an interior transformation problem of two indices of refractions. The inverse spectral problem is to study the inverse uniqueness of the indices of refraction. The zero distribution theory of entire function plays a role.

Keywords: acoustic tomography; photo acoustic; thermo photo; transmission problem; problem; inverse spectral

Journal Title: Waves in Random and Complex Media
Year Published: 2019

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