COUPLED MODE THEORY FOR ADVANCED MICROWAVE DEVICES.
Interim rept. no. 5,
STANFORD RESEARCH INST MENLO PARK CALIF
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A study was made whose purpose was to develop and apply a generalized theory of the coupling of modes of propagation such as occur in distributed microwave device. Certain basic concepts and techniques were developed that appear to be of great potential value to the analy and under standing of such devices. Some of the essential concepts and basic theorems of Lie algebras are presented. While much of the material is not new, it has been recast into a form that makes apparent its connection to coupled mode problems. The theory of projection operators is presented. This is a field that has been a major importance in various quantum mechanical problems. It is, in effect a generalization of the dyads that were used previously, and were found to be a powerful tool for coupled mode theory. There is at least the possibility that the added flexibility of the projection operators will be useful in the study of practical problems. Some of the techniques of approximate analysis are reviewed and compared. What appears to be a new method with some impor tant advantages is reported. This method uses a transformation to a helical coordinate system, followed by the use of the matricant as an approximation method. Author