Method of analysis for 2-D lumped element filter networks

A method for the analysis of 2-D lumped element filter networks is presented. The method is based on the general telegrapher’s equations of multi-wire transmission lines. In the discussion of multi-wire line, it supports multi-mode propagations. A 2-D lumped element network is equivalent to a set of sub-networks that are combiner at the input and output. While the combiners are generated according to the eigenvector of the characteristic matrix of the 2-D network, each of the subnetwork is a lowpass network that supports a single mode propagation whose propagation constant corresponding to a eigenvalue of the characteristic matrix. This method can be applied to the analysis of metamaterials and can be used for the design of waffle-iron filters