Dynamic Correlation in Wave Propagation in Random Media

Abstract

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 $κ_σ(t)$, 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 $κ_σ(t)$. Steady-state statistics are recovered in the limit $σ$->0, in which $κ_{σ=0}$ is the steady-state degree of correlation.