Loss properties of cylindrical waveguides containing gyromagnetic media

Abstract

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 ɛ, μ, and α are the relative permittivity and the relative permeability elements of the rod, and ɛ″, μ″, α″ are their imaginary parts. The quantities ∂β/∂ɛ, ∂β/∂μ, ∂β/∂α, have been calculated for a number of values of ɛ, μ, α, b/a, a/λ0, λ0 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.