Nonuniversal correlations in multiple scattering

We show that intensity of a wave created by a source embedded inside a thre e-dimensional disordered medium exhibits a nonuniversal space-time correlat ion that depends explicitly on the short-distance properties of disorder, s ourer size, and dynamics of disorder in the immediate neighborhood of the s ource. This correlation has an infinite spatial range and is long ranged in time. We suggest that a technique of "diffuse microscopy" might be develop ed employing spatially selective sensitivity of the considered correlation to the disorder properties.