Accession Number : ADP006123

Title :   Generation and Properties of Self-Similar Stochastic Processes with Application to Ray Propagation in Random Media,

Corporate Author : ROYAL SIGNALS AND RADAR ESTABLISHMENT MALVERN (UNITED KINGDOM)

Personal Author(s) : Jefferson, J. H. ; Anderson, J. D.

Report Date : MAY 1987

Pagination or Media Count : 19

Abstract : The importance of random media containing many length scales, and propagation of waves in such media is now widely recognised. In this paper, specific mathematical models to generate stochastic processes which have self-similar properties and differences between processes with various degrees of 'roughness' and it will be shown how they are related to fractional integration and fractal dimension. Such processes are non-Markovian, in general, and both causal and non-causal models are shown to be stochastically equivalent. Their use in modelling the scattering of waves from rough surfaces, particularly in the geometrical optics limit, will be discussed and the effects of inner and outer scales investigated. Finally, the generalisation to two and three dimensions is considered together with application to ray propagation in extended random media. (Author)

Descriptors :   *WAVE PROPAGATION, *FRACTALS, STOCHASTIC PROCESSES, MARKOV PROCESSES, TRANSFORMATIONS(MATHEMATICS), SCALING FACTOR, SYMPOSIA, GREAT BRITAIN.

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE