COUPLED MODE THEORY FOR ADVANCED MICROWAVE DEVICES.
Abstract
A study whose purpose is to develop and apply a generalized theory of the coupling of the modes of propagation such as occur in distributed microwave devices is presented. A discussion is presented of periodic transmission systems and show how the Floquet theory can be formulated in terms of the language and concepts of coupled mode theory. The theory of coupled mode transmission systems with random coupling is extended to cover the case of a resonant transmission line. The analysis shows how random perturbations in the line scatter energy over the various resonant modes of the system. A class of nonuniform systems is considered, i.e., those described by a matrix, W, whose derivative is expressible as the commutator of W and some matrix S(z). A set of scalar invariants of the system that are obtained from the properties of the under-lying Lie algebra, and so are independent of the precise form of S(z) is developed. Some of the simpler algebras are given as examples and some of their scalar invariants-in the sense given above--are derived. A numerical example is given to illustrate generally the power of Lie algebraic methods. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1964
- Accession Number
- AD0428055
Entities
People
- C. W. Barnes
- M. C. Pease
Organizations
- SRI International