Time reversal in thermoacoustic tomography - an error estimate

TL;DR

This paper provides error estimates for the time reversal method in thermoacoustic tomography, specifically addressing cases with variable, non-trapping sound speeds, to improve the accuracy of initial pressure reconstruction.

Contribution

It introduces new error estimates for the time reversal method in thermoacoustic tomography with variable, non-trapping sound speeds, enhancing understanding of its accuracy.

Findings

Error bounds for time reversal in variable sound speed scenarios

Improved accuracy in initial pressure approximation

Theoretical analysis of non-trapping conditions

Abstract

The time reversal method in thermoacoustic tomography is used for approximating the initial pressure inside a biological object using measurements of the pressure wave made on a surface surrounding the object. This article presents error estimates for the time reversal method in the cases of variable, non-trapping sound speeds.