An Asymptotic Solution for the Two-Frequency Mutual Coherence Functions of a Random Slab.

Abstract

The parabolic equation method has been mainly used in dealing with scattering problems associated with communications. The backscattering effects are often ignored in these applications. However, in remote sensing problems the calculation of the backscattered field intensity is essential, and neglecting the effect posed restrictions on the application of that method. In this thesis a modified parabolic equation method is employed to formulate the two frequency mutual coherence functions of a statistically homogeneous body of a continuous random medium. The backscattering effect is included in the formulation. An asymptotic solution is found and the coherence functions of a flat slab for both the transmitted and the backscattered fields are solved. The scattering effects of the slab upon a rectangular pulse are calculated and plotted. The results are found to be physically meaningful, the energy conservation law is observed by the solutions, and they represent a realistic picture of the scattering mechanism; moreover, this formulation also provides a means to evaluate the backscattering of a random medium, thus is suitable for both communication and remote sensing applications.