  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.
