On the Brune Process for n-Ports

The Brune process forn-ports, established by Oono, McMillan, and Tellegen, is derived by an alternative method based on successive series and shunt extractions of passiven-ports containing fictitious complex resistances, which are finally eliminated by a simple equivalence transformation. The method is also applied to nonreciprocaln-ports, thus establishing that such ann-port of degreemis realizable with not more thanmreactive elements. For reciprocaln-ports, the new derivation of Brune's process clarifies the physical structure of the reactive2n-port generalizing Brune's section and yields explicit formulas for its element values.