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Dynamic effect of phase conjugation on wave localization

K. J. H. van Bemmel·M. Titov·C. W. J. Beenakker
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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 omega_0 of the phase-conjugating mirror. The decay in time of the average power spectrum of the reflected pulse is delayed for frequencies near omega_0. In the presence of localization the resonance width is tau_s^{-1}exp(-L/l), with L the length of the waveguide, l the mean free path, and tau_s the scattering time. Inside this frequency range the decay of the average power spectrum is delayed up to times t simeq tau_s exp(L/l).

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K. J. H. van Bemmel, M. Titov, C. W. J. Beenakker. 2001-10-19. Dynamic effect of phase conjugation on wave localization. https://doi.org/10.1103/physrevb.65.174203

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