THE PARAMETRIC COUPLING OF MODES OF PROPAGATION IN NONLINEAR MEDIA.
Abstract
Processes of wave propagation may be understood in terms of interactions between waves at different frequencies, such as mixing and harmonic generation. Linearized models of such behavior, useful for studying interactions of two or more small-signal waves in the presence of a high-intensity pumping wave have been studied by this and other authors in the past. The models so treated have dealt with a single mode of propagation. The present work deals with a case of two basic modes of propagation. Results of rigorous analysis demonstrate a pattern of operation which is a generalization of that found for single-mode models. Wave interactions of both the stable and the unstable type are found, in addition to interactions identified with nonlinear shock waves. Shock wave effects are found to be associated with each of the two characteristic velocities of the modes involved. Representative results of dispersion functions and amplitude dependence for partial wave components of the time-space harmonics are also displayed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0637275
Entities
People
- Edward S. Cassedy
Organizations
- New York University Tandon School of Engineering