Dynamic Correlation in Wave Propagation in Random Media

TL;DR

This paper investigates the time-dependent statistical properties of pulsed wave transmission through disordered dielectric media, revealing that intensity correlations depend on the residual correlation function and recover steady-state behavior as pulse linewidth approaches zero.

Contribution

It introduces a dynamic framework linking intensity correlation functions to the residual degree of correlation in pulsed wave propagation through random media.

Findings

Normalized intensity correlation depends on the residual correlation function.

Steady-state statistics are recovered as pulse linewidth approaches zero.

The dynamic probability distribution is governed by the residual correlation at vanishing field correlation.

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 $\sigma$ 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.