Shadowing of Randomly Rough Surfaces,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 13, 1966
- Accession Number
- AD0740380
Entities
People
- R. J. Wagner