Electromagnetic wave propagation in cylindrical waveguides containing gyromagnetic media

Abstract

A comprehensive treatment of the subject is given, with a large number of computed results of cut-off points and phase constants for the case of a guide containing a concentric ferrite rod of arbitrary radius. The wave equation for the ferrite is derived in cylindrical co-ordinates, and solved. The wave equation for the isotropic medium surrounding the ferrite is also solved. The boundary conditions are then applied and the characteristic equations obtained for the case of the filled guide, the partly filled guide, and the guide filled with dielectric.By putting the phase constant β equal to 0 in the characteristic equation, it has been possible to solve for the ratio of ferrite radius to guide radius at cut-off. By plotting cut-off curves, a study of the normal mode spectrum can be made. This paves the way for an attack upon the characteristic equation proper, and curves of phase constant against radius ratio are obtained for various values of the properties of the ferrite and the geometry of the system.Faraday rotation, power flow, and losses are next discussed. The paper ends with an account of checking methods and accuracy of the computed results.