COUPLED MODE THEORY FOR ADVANCED MICROWAVE DEVICES
Abstract
Research was continued on the development and application of a generalized theory of the effects of coupling the modes of propagation such as occur in distributed microwave devices. The en tire work done so far in this study is reviewed. This review is in descriptive, rather than mathematical, terms to indicate the purposes and interrelations of the various parts of the pro gram. An analysis of the class of non-uniform systems that were studied is presented. This is the class of systems such that the derivative of the system matrix is expressible as a commutator of the system matrix with another operator. This class includes many of the interesting non-uniform systems, and it is a class that is tractable for analysis. This analysis was extended in several directions. Certain simpler subclasses are studied in detail. The 2 by 2 case with hermitian system matrix is discussed first, and then the general 2 by 2 case. The class of systems such that the system matrix can be regarded as em bedded in a space that is a representation of the general rotation group is then studied. Two formalisms are used, one using the infinitesimal transformations of the rotation group, and the other the corresponding spin matrices. The results are equivalent, but the difference of form may be useful.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0406218
Entities
People
- M. C. Pease
Organizations
- SRI International