Photoacoustic imaging in attenuating acoustic media based on strongly   causal models
  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. 
Konstantinos Kalimeris, Otmar Scherzer
math.AP