Influence of the trajectory-distribution function on the temporal and spectral correlations in disordered media

The precise shape and width of the temporal and spectral correlation functions in fluctuations that appear when coherent optical pulses propagate through static disordered media depend on the observation time and the pulse duration of the incident light. When the pulse duration of the incident light is much longer than the distribution of trajectory length, a previously shown minimum uncertainty relation in the temporal and spectral fluctuations breaks down. Detailed experimental results obtained using picosecond pulses show a good agreement with the theoretical calculation based on the diffusion approximation.