Accession Number : AD0691779

Title :   NONLINEAR WAVE PROPAGATION IN THE GEOMETRICAL APPROXIMATION.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Bisshopp,Frederic E.

Report Date : APR 1969

Pagination or Media Count : 89

Abstract : A geometrical theory of nonlinear wave propagation is developed for a class of stationary principles which includes some models of nonlinear optics. The geometrical approximation differs from the Quasi-optical approximation in a number of ways, including the fact that it can be shown to be the first of a rational sequence of approximations. The geometrical approximation is derived here in one of several ways it might have been introduced, and a number of its predictions are worked out in detail. Stability of a nonlinear beam, qualitative aspects of its propagation in the steady state, and specific examples that illustrate the effect of different kinds of nonlinearity are discussed. Finally, a nonlinear stationary principle for electromagnetic theory is proposed, and the qualitative features of the corresponding geometrical nonlinear optics are discussed. (Author)

Descriptors :   (*OPTICAL MATERIALS, NONLINEAR SYSTEMS), (*LIGHT TRANSMISSION, NONLINEAR SYSTEMS), GEOMETRY, APPROXIMATION(MATHEMATICS), FOCUSING, DIFFRACTION, LASERS, PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE