Accession Number : ADP006115

Title :   Multiple Scattering from Rough Surfaces,

Corporate Author : COLORADO SCHOOL OF MINES GOLDEN DEPT OF MATHEMATICS

Personal Author(s) : DeSanto, John A.

Report Date : MAY 1987

Pagination or Media Count : 10

Abstract : A review of multiple scattering theories will be presented with specific application to scattering from rough surfaces. This will include the limitations, advantages and range of validity of both traditional methods such as a Kirchoff and perturbation methods as well as a discussion of modern methods. The latter include the connected diagram method (integral equations), and smoothing method, the stochastic Fourier transform approach and the spectral method. The former two methods have an analogue in the theory of wave propagation in random media. The latter method is analogous to a method developed by us for scattering from periodic surfaces. In this approach the exact stochastic integral equations are used to develop equations on averages of the field quantities. Salpeter equation on the second moment. For homogeneous surface statistics, the former yields the coherent specular scattering, and the latter yields the incoherent scattering. Formally, both can be expressed exactly in the sense that all orders of multiple scattering are included, but, in order to be solved, must be approximated. The Dyson equation has been solved in lowest order approximation and illustrates the necessity of using multiple scattering techniques to describe coherent scattering. The situation with the Bethe Salpeter equation, however, is not nearly so well understood, and the difficulty of finding approximation techniques for this equation will be discussed.

Descriptors :   *ELECTROMAGNETIC SCATTERING, SURFACE ROUGHNESS, INTEGRAL EQUATIONS, STOCHASTIC PROCESSES, SYMPOSIA.

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE