An algorithm based on the hybrid Galerkin method for analysis of arrays of circular waveguides with protruding dielectric rods

An algorithm for analysis of circular waveguide arrays with protruding dielectric rods of cylindrical-conical shape is developed. The transverse electromagnetic field in the region comprising the rods is expanded over transverse vector functions of the Floquet channel with variable coefficients for which a system of ordinary differential equation is derived as a result of projecting Maxwell equations on the same vector functions. The differential equations are transformed into algebraic ones by applying the one-dimensional finite element method. Some results characterizing both the algorithm and the array properties are presented and discussed.