Improving spatio-temporal focusing and source reconstruction through deconvolution

In this study, a technique is demonstrated to improve the ability of time reversal to both spatially and temporally focus, or compress, elastic wave energy, or to improve the quality of the reconstruction of the source signal. This method utilizes the deconvolution, or inverse filter, in single channel time reversal experiments in solids. Special attention is given to the necessary procedure for improving source signal reconstruction in real experimental conditions. It is also demonstrated theoretically and numerically that good temporal focusing implies that the radius in the spherically symmetric part of the spatial focus is small.