Dynamic effect of phase conjugation on wave localization
K. J. H. van Bemmel, M. Titov, C. W. J. Beenakker
Abstract
We investigate what would happen to the time dependence of a pulse reflected by a disordered single-mode waveguide, if it is closed at one end not by an ordinary mirror but by a phase-conjugating mirror. We find that the waveguide acts like a virtual cavity with resonance frequency equal to the working frequency omega0 of the phase-conjugating mirror. The decay in time of the average power spectrum of the reflected pulse is delayed for frequencies near omega0. In the presence of localization the resonance width is taus-1exp(-L/l), with L the length of the waveguide, l the mean free path, and taus the scattering time. Inside this frequency range the decay of the average power spectrum is delayed up to times t simeq taus exp(L/l).
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