Dynamic Correlation in Wave Propagation in Random Media

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We report time-resolved measurements of the statistics of pulsed transmission through quasi-one-dimensional dielectric media with static disorder. The normalized intensity correlation function with displacement and polarization rotation for an incident pulse of linewidth σ at delay time t is a function only of the field correlation function, which is identical to that found for steady-state excitation, and of κσ(t), the residual degree of intensity correlation at points at which the field correlation function vanishes. The dynamic probability distribution of normalized intensity depends only upon κσ(t). Steady-state statistics are recovered in the limit σ->0, in which κσ₌₀ is the steady-state degree of correlation.