Fast algorithm of edge-element for the high-order modes in dielectric-loaded waveguides with arbitrarily transverse cross-sections

A fast algorithm of edge-element is presented for the computation of the high-order-modes in dielectric-loaded waveguides with arbitrarily transverse cross-sections. Numerical examples show that this algorithm requires greatly less memory and has significantly higher efficiency, compared with the previous algorithm. The relation between computation accuracy and division mesh is investigated numerically. The computations of propagation constants of the eigen-modes in rectangle waveguides and various dielectric-loaded waveguides demonstrate the high efficiency and accuracy of the proposed algorithm. At last, the eigen-modes in the interior-coated waveguide are investigated with the developed code based on our proposed algorithm.