COUPLED MODE THEORY FOR ADVANCED MICROWAVE DEVICES
Abstract
A generalized theory of coupled modes of propagation is applied to the study of interactions in distributed microwave devices. Methods are developed for the application of group theoretic techniques to conservative linear systems that may or may not be uniform. It is shown that transmission matrices that solve a particular problem do, in fact, form a group. This group is a continuous (Lie) group and can be characterized by its infinitesimal transformations. Whether or not a given system is reducible in the group theoretic sense was investigated. Nonuniform systems such that the derivative of the system operator is expressible as a commutator of the system operator with another matrix was studied. It was shown that such a system is explicitly soluble if a matrix can be chosen to be constant. That this is a special case of a more general class of explicitly souble nonuniform systems is indicated. It was shown that the matrix describes the behavior of the eigenvectors of the system operator. An explicit form for the matrix is obtained and some of its properties are developed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1963
- Accession Number
- AD0296217
Entities
People
- M.c. Pease
Organizations
- SRI International