| Abstract: | The method proposed for solution of 2D problems is extended to solution of a 3D problem for an array of circular waveguides with protruding cylinder-conical dielectric rods. The transverse electromagnetic field in the domain containing the rods is expanded into a series of vector functions of a Floquet channel. The series contains variable coefficients whose values are determined from solution of a system of ordinary differential equations derived upon projection of the Maxwell equations onto the same vector functions. The differential equations are transformed into algebraic equations via application of a 1D finite-element method and matching of fields with waveguide and spatial harmonics on the boundaries of this domain. The results of numerical solution of the obtained algebraic system are used for calculation of the array characteristics, which are compared to the data published in the literature and the experimental results available for several particular cases. |
