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:

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:

• (*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