Large-scale discretization and generalized mode-matching as a basis for fast electromagnetic solvers

In this paper, we present milestones of GMMT - a new generalized approach to implementation of MMT. Firstly, generalization consists in consideration of problems with "unpredetermined" topology and geometry. We imply arbitrary configurations within certain wide class of coordinate boundaries. Secondly, generalization implies automatic generation of all required structural data for building a corresponding set of the MMT matrix operators. Thirdly, fine structure of any specified geometry is taken into account: longitudinal and transversal symmetry of device; symmetry of excitation; symmetry of separate complicated waveguide sections and their parts arising at dividing into the domains with perfectly electric (magnetic) walls in the planes of symmetry; connectivity of the waveguide cross-sections, symmetry of the plane junctions of separate waveguides.