Inverse problems with quasi-homogeneous random media

Abstract

Formulas are derived for determining low-pass filtered versions of the two constituent factors of the two-point spatial correlation function of a quasi-homogeneous random medium from knowledge of the cross-spectral density of the scattered field in the far zone. The results are illustrated by an example. When the scale lengths of variation of these quantities are greater than approximately half of the mean wavelength of the incident light, the reconstructions are found to be practically exact.