Numerical model for calculating eigen-mode spectrum of complicated cross-section waveguides

Usually in solving problems of computational electromagnetics the two ways can be utilized: developing of dedicated (the most optimal method to solve a specific problem) or global computational algorithms (one universal method to solve the wide class of problems). The advantages of the first way are speed and accuracy of algorithm, while the virtue of second way naturally follows from its name. Recently observed the tendency of using so called hybrid approach that combines advantages of the both directions. The ground of hybrid approach consists in developing such special-purpose methods which make it possible to calculate quickly and accurately the whole class of units which are characterized by the set of some common attributes. These specialized methods include the mode-matching technique taking into account the peculiarities of the electromagnetic field near the edges. Generalization of this technique to arbitrary waveguide objects with coordinate boundaries is presented in this paper.