Analogy between Circular Core-Cladding and Impedance Waveguides and Their Membrane Functions

One-side boundary conditions on the field inside core region are obtained for core-cladding waveguide with anisotropic cladding. The boundary conditions involve two functions acting as components of anisotropic surface impedance for cladding material. These functions are determined in relation to desired values for step-index waveguide and dielectric-lined waveguide with either perfectly or finitely conducting walls. With resulting surface impedance, the perfect analogy between core-cladding and impedance waveguide is achieved. Using this analogy, independent eigenvalue problems are obtained for membrane functions of HE and EH waves of core-cladding waveguide. From this result some conclusions about electromagnetic properties of HE and EH waves are drawn.