Cylindrical Dielectric Waveguide Modes*

The propagation of cylindrical dielectric waveguide modes near cutoff and far from cutoff are considered. The relative amounts of Ez and Hz, and the transverse components of the field are determined for both sets of hybrid modes. With the radial dependence of the z components of the field in the central dielectric given by Jn(ur/a), the transverse components far from cutoff are given by Jn±1(ur/a), where u is a parameter found from the boundary conditions and which fixes the scale of the Bessel function relative to the boundary r = a. The two values n + 1 and n − 1 correspond to the two sets of modes. The designations of the hybrid modes are discussed. Field plots for the lower order modes are given.