Analytical synthesis of microwave multiport networks

An analytical, exact method for the synthesis of multiport microwave networks formed by coupled resonators is proposed. The method is based on the definition of a novel class of coupling matrix with non-resonant nodes and an arbitrary number of input/output ports. The use of this coupling matrix allows a synthesis procedure analogous to the one used for filters. Some applications of the presented technique are the design of power dividers, multiplexers and diplexers. A synthesis example of a diplexer formed by two box-section filters with one transmission zero at a specified frequency for each one is included.