Circular-harmonic vector analysis of a dielectric waveguide with a cross-cut-circle cross section

Abstract

Vector-wave solutions of dielectric waveguides with cross-cut-circle cross sections, which are commonly produced by reflow of the waveguide core on a planar substrate at high temperature, are rigorously analyzed by the use of the point-matching method. As a numerical example, the propagation constant, electromagnetic-field distribution, and convergence of mode solutions for a semicircular waveguide are presented, and the properties of these modes are discussed.