Weissfloch Equivalents for Lossless 2n-Ports

In many applications it is both customary and convenient to describe a -port in terms of its transfer scattering matrix . This representation is particularly apropos when making measurements on an obstacle coupling together propagating modes in a waveguide. In this paper canonical forms for are established for nonreciprocal and reciprocal lossless -ports. A Weissfloch equivalent circuit for the most general lossless - port (reciprocal or not) is derived and shown to be composed of three lossless -ports in cascade. The first and third are all-pass networks and the middle one a transformer bank of uncoupled ideal 2-port transformers. A possible technique for measuring some of the parameters is described.