Dynamic Correlation in Wave Propagation in Random Media

Field spectra are analyzed to yield the time-resolved 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.