Topological Analysis of Linear Nonreciprocal Networks

Kirchhoff and Maxwell gave us topological inspection rules for evaluating the transmission of a linear reciprocal branch network. With the addition of the unistor, a branch-like element whose current is proportional to one of its two terminal potentials and independent of the other terminal potential, or the gyristor, whose current is proportional to the sum of its two terminal potentials, we can model any linear network, in general nonreciprocal. The point is that the Kirchhoff-Maxwell methods carry over to such networks without change of form, the only modification of the transmission expression being a relatively simple sign rule for gyristor admittances or a relatively simple nullification rule for unistor admittances.