Photoacoustic imaging in attenuating acoustic media based on strongly causal models

TL;DR

This paper develops time reversal imaging functionals for strongly causal acoustic attenuation models, incorporating first and higher order corrections, advancing photoacoustic imaging in attenuating media.

Contribution

It introduces new time reversal functionals for strongly causal models and a novel approach for higher order corrections in photoacoustic imaging.

Findings

Derivation of time reversal functionals for specific attenuation models

Asymptotic analysis for first order correction reconstruction

A new method for higher order correction in imaging

Abstract

In this paper we derive time reversal imaging functionals for two strongly causal acoustic attenuation models, which have been proposed recently. The time reversal techniques are based on recently proposed ideas of Ammari et al for the thermo-viscous wave equation. Here and there an asymptotic analysis provides reconstruction functionals from first order corrections for the attenuating effect. In addition, we present a novel approach for higher order corrections.