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Photoacoustic tomography in a rectangular reflecting cavity

Kunyansky, L; Holman, B; Cox, BT; (2013) Photoacoustic tomography in a rectangular reflecting cavity. INVERSE PROBLEMS , 29 (12) , Article ARTN 125010. 10.1088/0266-5611/29/12/125010. Green open access

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Abstract

Almost all known image reconstruction algorithms for photoacoustic and thermoacoustic tomography assume that the acoustic waves leave the region of interest after a finite time. This assumption is reasonable if the reflections from the detectors and surrounding surfaces can be neglected or filtered out (for example, by time-gating). However, when the object is surrounded by acoustically hard detector arrays, and/or by additional acoustic mirrors, the acoustic waves will undergo multiple reflections. (In the absence of absorption, they would bounce around in such a reverberant cavity forever.) This disallows the use of the existing free-space reconstruction techniques. This paper proposes a fast iterative reconstruction algorithm for measurements made at the walls of a rectangular reverberant cavity. We prove the convergence of the iterations under a certain sufficient condition, and demonstrate the effectiveness and efficiency of the algorithm in numerical simulations.

Type: Article
Title: Photoacoustic tomography in a rectangular reflecting cavity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/0266-5611/29/12/125010
Publisher version: http://dx.doi.org/10.1088/0266-5611/29/12/125010
Additional information: © 2013 IOP Publishing Ltd. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Keywords: Mathematical physics; Biological physics
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1424352
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