Some Interesting Properties of Scattering Matrix of Passive Microwave Devices

Authors: Ramakrishna Janaswamy

Source: FERMAT, Volume 15, Communication 10, May-Jun., 2015


Abstract: Three useful properties are shown that characterize the dissipative loss and the corresponding efficiency of a multiport, passive microwave network. Elementary examples are considered that involve both reciprocal and non-reciprocal networks. When applied to the equal-split, matched, 3- port resistive divider, they recover the known fact that the device is 50% efficient. The relations yield the new result that the efficiency of a 3-port Wilkinson power divider is 2/3 on the average. It is further shown that the Wilkinson power divider belongs to a class of most efficient, matched, reciprocal 3-port networks that are constrained to provide maximum isolation at the output ports

Key words: Efficiency, scattering matrix, passive microwave networks, dissipation, hypersphere, eigenanalysis.


View PDF

Some Interesting Properties of Scattering Matrix of Passive Microwave Devices