Propagation in the Open Cylindrical Guide of Arbitrary Cross Section With the Use of Field Matching Method

A simple solution to propagation problem in open waveguides and dielectric fibers of arbitrary convex cross section is presented. The idea of the analysis is based on the direct field matching technique involving the usage of the field projection at the boundary on a fixed set of orthogonal basis functions. A complex root tracing algorithm is utilized to find the propagation coefficients of the investigated guides. Different convex shapes of the guides are analyzed, and the obtained results are compared with the alternative solutions to verify the validity of the proposed method.