Equivalent Representations of Nonuniform Transmission Lines Based on the Extended Kuroda's Identity

Abstract

Kuroda's identity may be extended to circuits consisting of lumped reactance elements and nonuniform transmission lines. It is shown that these circuits are equivalent to circuits consisting of cascade connections of nonuniform transmission lines whose characteristic impedance distributions are different from original ones, lumped reactance elements, and ideal transformers. If a characteristic impedance distribution W(x) of an original nonuniform transmission line is given, a characteristic impedance distribution Z(x) of a transformed nonuniform transmission line may be uniquely obtained using W(x). Moreover, by using these equivalent transformations, network functions of these transformed nonuniform transmission lines can he derived exactly.

Keywords

This publication has 13 references indexed in Scilit:

Kuroda's Identity for Mixed Lumped and Distributed Circuits and Their Application to Nonuniform Transmission Lines
IEEE Transactions on Microwave Theory and Techniques, 1981
Impedance Transformation Equations for Exponential, Cosine-Sqaared, and Parabolic Tapered Transmission Lines
IEEE Transactions on Microwave Theory and Techniques, 1981
Equivalent circuits of binomial‐form nonuniform transmission lines and their application
Electronics and Communications in Japan (Part I: Communications), 1980
Generalized Confluent Hypergeometric and Hypergeometric Transmission Lines
IEEE Transactions on Circuit Theory, 1969
Some Exactly Solvable Nonuniform RC Lines
IEEE Transactions on Circuit Theory, 1965
Analysis of the Trigonometric RC Line and Some Applications
IEEE Transactions on Circuit Theory, 1964
The Use of Exponential Transmission Lines In Microwave Components
IEEE Transactions on Microwave Theory and Techniques, 1962
Equivalent Circuits of an Exponential Transmission Line
IRE Transactions on Circuit Theory, 1960
Bibliography of nonuniform transmission lines
IEEE Transactions on Antennas and Propagation, 1955
The Hyperbolic Transmission Line as a Matching Section
Proceedings of the IRE, 1953