Abstract

In location and remote sensing experiments there arises a number of effects related to the double passage of the backscattered field through the same random inhomogeneities as the incident one. To account for the correlation of the forward-backward propagating events, there is need of a measure in which the random information along the propagation path is preserved. For generation of the even statistical moments, the relevant measure is the two-point random function (TPRF) defined in the recently formulated stochastic geometrical theory of diffraction (SGTD). From this function, all even statistical moments can be generated. Here, we present approximate analytical solutions for the high frequency propagators based on the multiscale expansion asymptotic procedure applied to the stochastic partial differential equation governing the propagation of the TPRF. As a canonical double passage problem, it serves the case of a point source and a point scatterer. Together with the reciprocity conditions it allows the choice of an appropriate propagator and its application to arbitrary source-reflector configurations.

© 1989 Optical Society of America