Focusing through random media in space and time: a transmission matrix approach

Abstract

We exploit the evolution in time of the transmission matrix following pulse excitation of a random medium to focus radiation at a selected time delay $t^{\prime }$ and position $r$. The temporal profile of a focused microwave pulse is the same as the incident Gaussian pulse. The contrast in space at time $t^{\prime }$ of the focused wave is determined by the participation number of transmission eigenvalues $M^{\prime }$ and the size $N^{\prime }$ of the measured transmission matrix. The initial rise and subsequent decay of the contrast observed reflect the distribution of decay rates of the quasi-normal modes within the sample.

© 2013 Optical Society of America

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