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

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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 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 of the focused wave is determined by the participation number of transmission eigenvalues M and the size N 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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