Accession Number : ADA140716
Title : Nonlinear Phenomena in Electromagnetic and Acoustic Wave Propagation.
Descriptive Note : Final rept. 15 Jan 81-14 Jan 84,
Corporate Author : STANFORD UNIV CA DEPT OF MATHEMATICS
Personal Author(s) : Keller,J B
PDF Url : ADA140716
Report Date : Apr 1984
Pagination or Media Count : 12
Abstract : We studied mathematical problems in electromagnetic and acoustic wave propagation which involve nonlinear partial differential equations, or linear partial differential equations with random coefficients. A general theory of weakly nonlinear high frequency wave propagation was developed which applies to waves in number of dimensions. It justifies the nonlinearization technique of Whitham and Landau and extends it to interacting waves and to other types of waves. The theory was successfully applied to weak shock diffraction. The theory of wave reflection from rough surfaces was extended to yield the correlation functions of the scattered field. It was found that the second order correlations could be expressed in terms of the reflection coefficient and the differential scattering cross section of the surface.
Descriptors : *Electromagnetic wave propagation, *Acoustic waves, Wave propagation, Sound transmission, Bibliographies, Acoustic reflection, Nonlinear differential equations, Partial differential equations
Subject Categories : Acoustics
Radiofrequency Wave Propagation
Distribution Statement : APPROVED FOR PUBLIC RELEASE