Differential-Geometry Scaling Method for Electromagnetic Field and Its Applications to Coaxial Waveguide Junctions

摘要

A differential geometry scaling method, stemming from Baum's pioneering work, is thoroughly explored and developed for electromagnetic fields. This method creates a class of equivalent electromagnetic problems P each described by a complicated geometry and having a complicated medium from an electromagnetic problem P' described by a simple Cartesian geometry and having a simple medium. Application of this method to coaxial waveguide structures is examined with special emphasis. Various conditions and limitation of the method as imposed by special choices of geometry, medium and field modes are obtained. Also two specific problems are solved in detail by applying this scaling method.