Cylindrical Dielectric Waveguide Modes*
Journal of the Optical Society of America · 1961 · 670 citations · 2 references
Electromagnetic WaveEngineeringPhysicsOptical PropertiesAntennaApplied PhysicsHybrid ModesZ ComponentsGuided-wave OpticComputational ElectromagneticsPlanar Waveguide SensorTransverse Components
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.
2
Lord Rayleigh · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1897
146 citations
Hyper-Frequency Wave Guides-Mathematical Theory
John R. Carson, Sallie Pero Mead, S. A. Schelkunoff · Bell System Technical Journal · 1936
134 citations