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):
Report Date:
1969-04-01
Pagination or Media Count:
89.0
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:
Subject Categories:
- Optics