A Matrix Decomposition Technique for the Efficient Analysis of Complex Waveguide Networks

A method for fast and rigorous analysis of complex waveguide networks of any topology is presented. A modal analysis based on the generalized admittance matrix representation of discontinuities and components is employed leading to a linear set of equations in the intemal voltages. A special L*U decomposition is introduced that exploits the specific features of the coefficient matrix, namely: symmetry, block banded and stepped structure. The high numerical efficiency of this approach is shown at the example of a 4×4 Butler matrix.