Some Applications of the Isometric Circle Method to Impedance Trans¬formations through Lossless Two-Port Networks

摘要

The isometric circle method is a graphical method of transforming a complex quantity by the linear fractional transformation. The method is applied to the transformation of complex impedances (admittances) or complex reflection coefficients through bilateral, lossless, two-port networks. These transformations are shown to be of a type that is called "nonloxodromic." In the nonloxodromic case the isometric circle method simply consists of an inversion in the isometric circle of the direct trans¬formation, followed by a reflection in the symmetry line of the two isometric circles of the direct and inverse transformations. The applica-tions that have been chosen are: a uniform transmission line, lossless transformers, and uniform waveguide sections (TE and TM modes). Simple, numerical examples have been worked out.