Accession Number : AD0740380

Title :   Shadowing of Randomly Rough Surfaces,

Corporate Author : TRW SYSTEMS GROUP REDONDO BEACH CALIF PHYSICAL RESEARCH CENTER

Personal Author(s) : Wagner,R. J.

Report Date : 13 JUN 1966

Pagination or Media Count : 58

Abstract : The first-order probability densities of height and slope on the portions of a rough surface illuminated jointly by rays in two arbitrary directions have been evaluated for a surface generated by a stationary normal random process. The dependence of the statistical properties of the apparent surface on the angles of incidence and observation is illustrated. For the case of backscatter, a simple calculation of the 'shadowing functions,' valid at very small grazing angles, and a more detailed approximation, valid at the larger angles, are shown to be in excellent agreement with the computer-simulation results of Brockelman and Hagfors. The second-order probability density of heights on the illuminated surface is discussed, and a method of evaluation is suggested.

Descriptors :   (*UNDERWATER SOUND, BOUNDARY VALUE PROBLEMS), BOUNDARY LAYER, SOUND TRANSMISSION, ATTENUATION, SCATTERING, REVERBERATION, PROBABILITY DENSITY FUNCTIONS, DIFFRACTION

Subject Categories : Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE