Time reversal method with stabilizing boundary conditions for Photoacoustic tomography

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.

Revised Version, accepted to the IOP Journal of Inverse Problems

References in corpus (4)

• Time reversal in thermoacoustic tomography - an error estimate
• Multiwave imaging in an enclosure with variable wave speed
• Multiwave tomography in a closed domain: averaged sharp time reversal
• Gradual time reversal in thermo- and photo- acoustic tomography within a resonant cavity

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• Thermoacoustic tomography for an integro-differential wave equation modeling attenuation
• Time reversal method for thermoacoustic acoustic tomography in elastic media: convergence with sharp observation time