This final technical report summarizes the results of work performed between 1 Sep 89 and 31 Mar 97 or accomplishments achieved as a result of this work. Finite-Difference Time-Domain code was developed for rough surface scattering. The phase perturbation, small slope approximation, local parabolic approximation, and nonlocal small slope approximation models for rough surface scattering were developed and examined for a number of different spectra and surface types.

A review of theories developed for the study of acoustic, elastic and electromagnetic wave scattering from randomly rough surfaces, and a comprehensive summary of the latest techniques. Different theories are illustrated by experimental data.With applications in radar, sonar, ultrasonics and optics this book will be invaluable to graduate students, researchers and engineers.

The goal of this project was to improve our understanding of electromagnetic scattering from conducting rough surfaces when the roughness is small in comparison with the radiation wavelength. Research was conducted in two related areas for p-polarized scattering from conducting surfaces: the generation of surface waves, and the development of renormalized perturbation theory for scattering from perfectly conducting surfaces. To understand the excitation of surface waves better, a numerical method was developed for displaying the field near the surface; surface waves can then be shown explicitly. The method is based on integral equation solutions, and no fundamental approximations are required. The existence of surface waves for p-polarized scattering leads to difficulties in theoretical treatments of scattering from conductors. This work is specialized to the case of scattering from perfect conductors, for which the theoretical problems are most evident. A renormalized perturbation theory is implemented that is free from the deficiencies inherent in standard perturbation theory. The renormalized perturbation theory is extended beyond lowest order, and comparisons with exact integral equation results show that this approach yields predictions for the bistatic scattering cross section that are accurate over a broad range of surface parameters. (AN).