Time reversed imaging for perturbed media.

In time reversed imaging a pulse is propagated through a medium, the signal is recorded, and then the time reversed signal is back-propagated through the same medium to refocus the energy at the original location of the source. The refocusing is independent of the medium if the medium is the same during back-propagation. If the speed of back-propagation differs from the speed of forward propagation, the waves refocus at a different location. For a single source and single receiver, the shift is proportional to the distance between the source and the receiver and the speed difference. If several receivers are placed along a circle to form an aperture angle, the shift in the location of the refocused pulse increases with increasing aperture angle for a given source-receiver distance and speed difference. If we analyze the problem using ray theory, an increase in the aperture angle would result in a decrease in the shift of the refocused pulse. The explanation for the shift of the refocused pulse with aperture angle is simple from a wave-front point of view. [ABSTRACT FROM AUTHOR]