The Hyperbolic Transmission Line as a Matching Section

Abstract

A concentric matching section in which the characteristic impedance of the section varies along the section as a hyperbolic function provides a matching section which is relatively insensitive to frequency change. The performance of the line is described in terms of its reflection coefficient. Two lines are considered, one of which has a characteristic impedance which varies as a hyperbolic tangent along the section, the other line has postulated a reflection per unit length of the form of a hyperbolic secant squared.