In wave-based remote sensing or radio-location of distant objects in a rand
om medium, a high-frequency electromagnetic wave is scattered by object dis
continuities, and portions of the scattered radiation can traverse the same
random inhomogeneities as the initial incident field. The statistical depe
ndence of the forward-backward travelling events results in an anomaly in t
he backscattered intensity pattern that carries information about the scatt
ering object. The quality of this information depends on the ability to res
olve the fine-structure elements. In this work we investigate the resolving
properties of periodic spatial objects by using the random propagators of
the stochastic geometrical theory of diffraction.