Application of symmetry planes in finite difference analysis of coupled resonators

An efficient technique for calculation resonant frequencies and coupling coefficient of paired resonators using finite difference frequency domain algorithm is presented. Improvement in efficiency is obtained by utilizing symmetry planes, implemented in a new manner. Unlike well known solution, the symmetry planes are defined by modification of the original matrix problem using orthogonal matrix projection. Such a formulation allows, beside substantial reduction in number of variables and efficiency gain, precise alignment of electric and magnetic walls in the mesh.