Title :
Impedance Transformation Equations for Exponential, Cosine-Sqaared, and Parabolic Tapered Transmission Lines
fDate :
1/1/1981 12:00:00 AM
Abstract :
Closed-form equations that give the value of an arbitrary complex impedance transformed through a length of dissipationless, nonuniform transmission line with exponential cosine-squared, and parabolic taper are presented. These equations are obtained by a second order nonlinear differential (Riccati) equation relating impedance, the nonuniform line impedance and the line length. The results presented should be useful in solving impedance matching problems.
Keywords :
Dielectric measurements; Differential equations; Distributed parameter circuits; Frequency; Impedance; Nonlinear equations; Permittivity measurement; Riccati equations; Transmission line measurements; Transmission lines;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.1981.1130290
