Long-time asymptotic of temporal-spatial coherence function for light propagation through time dependent disorder

Details Long-time asymptotic of temporal-spatial coherence function for light propagation through time dependent disorder Long-time asymptotic of temporal-spatial coherence function for light propagation through time dependent disorder

1996-12-13

arxiv.org/abs/cond-mat/9612130v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, Latex, no figures, to be publication in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(97)00104-7

Long-time asymptotic of field-field correlator for radiation propagated through a medium composed of random point-like scatterers is studied using Bete-Salpeter equation. It is shown that for plane source the fluctuation intensity (zero spatial moment of the correlator) obeys a power-logarithmic stretched exponential decay law, the exponent and preexponent being dependent on the scattering angle. Spatial center of gravity and dispersion of the correlator (normalized first and second spatial moments, respectively) prove to weakly diverge as time tends to infinity. A spin analogy of this problem is discussed.

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