Waveguide and cavity oscillations in the presence of nonlinear media
Abstract
The analysis of Volterra systems (weakly nonlinear systems with memory) in communication theory was introduced in 1942. Franceschetti and Pinto (1980, 1982) have recognized the importance of Volterra's original work for the analysis of weakly nonlinear dispersive systems. Concepts regarding the propagation in weakly nonlinear media are now applied to problems of guided waves and cavity oscillations. The present investigation is mainly concerned with weak nonlinear effects which provide the correction terms for the leading linear results. Attention is given to the general theory of self-interaction, rectangular waveguides and resonators, circular cylindrical structures, and spherical structures. It is shown that the presence of curved metallic boundaries will suppress nonlinear interaction and harmonic production.
- Publication:
-
IEEE Transactions on Microwave Theory Techniques
- Pub Date:
- April 1985
- DOI:
- 10.1109/TMTT.1985.1133075
- Bibcode:
- 1985ITMTT..33..296C
- Keywords:
-
- Cavity Resonators;
- Microwave Equipment;
- Nonlinear Systems;
- Volterra Equations;
- Wave Propagation;
- Waveguides;
- Bessel Functions;
- Cartesian Coordinates;
- Circular Waveguides;
- Cylindrical Waves;
- Heuristic Methods;
- Maxwell Equation;
- Rectangular Waveguides;
- Electronics and Electrical Engineering