A New Transducer Diagram

A simple diagram consisting of two graduated straight lines and a point, completely represents a loss-free transducer. By a simple projective construction the input reactance corresponding to any terminating reactance may be quickly obtained, and, by an extension of the construction, complex impedances may also be transformed. The method allows a visual as well as numerical grasp to be obtained of the transforming action of the transducer. The construction depends on the principle that in any bilinear transformation of a function of a complex variable there are straight lines which transform into straight lines, and that the relation between corresponding points on these straight lines is projective.