Photoacoustic tomography in a rectangular reflecting cavity

Leonid Kunyansky, B. Holman, B. T. Cox

Research output: Contribution to journalArticle

16 Scopus citations

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.

Original languageEnglish (US)
Article number125010
JournalInverse Problems
Volume29
Issue number12
DOIs
Publication statusPublished - Dec 2013

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ASJC Scopus subject areas

  • Signal Processing
  • Computer Science Applications
  • Applied Mathematics
  • Mathematical Physics
  • Theoretical Computer Science

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