An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Chen, Lung-Hui
• Is Part Of: Waves in random and complex media. Volume 29:Issue 2(2019)
• Page Start: 204
• Page End: 214
• Publication Date: 2019-04-03
• Subjects: Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2017.1422605
• Languages: English
• ISSNs: 1745-5030

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.