Time reversal method with stabilizing boundary conditions for Photoacoustic tomography. (3rd November 2016)

• Record Type: Journal Article
• Authors: Chervova, Olga; Oksanen, Lauri
• Is Part Of: Inverse problems. Volume 32:Number 12(2016:Dec.)
• Publication Date: 2016-11-03
• Subjects: inverse problems -- time reversal -- wave equation -- Photoacoustic tomography; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/12/125004
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We study an inverse initial source problem that models photoacoustic tomography measurements with array detectors, and introduce a method that can be viewed as a modification of the so called back and forth nudging method. We show that the method converges at an exponential rate under a natural visibility condition, with data given only on a part of the boundary of the domain of wave propagation. In this paper we consider the case of noiseless measurements.