Loss properties of cylindrical waveguides containing gyromagnetic media

The system considered is a waveguide of radius a containing a concentric rod of gyromagnetic material of radius b. The attenuation constant is given by where ¿, ¿, and ¿ are the relative permittivity and the relative permeability elements of the rod, and ¿¿, ¿¿, ¿¿ are their imaginary parts. The quantities ¿ß/¿¿, ¿ß/¿¿, ¿ß/¿¿, have been calculated for a number of values of ¿, ¿, ¿, b/a, a/¿0, ¿0 being the wavelength of a plane wave in the material occupying the part of the guide not occupied by gyromagnetic material. Comparisons are made with experimental losses measured by other authors; good agreement is found. The optimum design for Faradayrotation devices is discussed.