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