Mathematics of Photoacoustic and Thermoacoustic Tomography

Peter Kuchment () and Leonid Kunyansky ()
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Peter Kuchment: Texas A & M University, Mathematics Department
Leonid Kunyansky: University of Arizona, Department of Mathematics

A chapter in Handbook of Mathematical Methods in Imaging, 2015, pp 1117-1167 from Springer

Abstract: Abstract The chapter surveys the mathematical models, problems, and algorithms of the thermoacoustic tomography (TAT) Thermoacoustic tomography (TAT) and photoacoustic tomography (PAT) Photoacoustic tomography (PAT) . TAT and PAT represent probably the most developed of the several novel “hybrid” methods of medical imaging. These new modalities combine different physical types of waves (electromagnetic and acoustic in case of TAT and PAT) in such a way that the resolution and contrast of the resulting method are much higher than those achievable using only acoustic or electromagnetic measurements.

Keywords: Inversion Formula; Range Condition; Forward Operator; Lipschitz Stability; Acquisition Surface (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0790-8_51

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DOI: 10.1007/978-1-4939-0790-8_51

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