Equivalent transformations for the mixed lumped Richards section and distributed transmission line

Author

Nemoto, Y. ; Satake, Makoto ; Kobayashi, Kunikatsu ; Sato, Risaburo

Author_Institution

Res. Inst. of Electr. Commun., Tohoku Univ., Sendai, Japan

Volume

36

Issue

4

fYear

1988

fDate

4/1/1988 12:00:00 AM

Firstpage

635

Lastpage

641

Abstract

The authors introduce an analysis method for nonuniform transmission lines. Equivalent transformations between a circuit consisting of a cascade connection of a lumped Richards section, an ideal transformer, and a distributed transmission line and one consisting of a cascade connection of a class of a nonuniform transmission line, a lumped Richards section, and an ideal transformer, are given. Characteristic impedance distributions of these nonuniform transmission lines are expressed as hyperbolic or trigonometric functions. It is quite difficult to find the exact network functions of nonuniform transmission lines from the telegraph equation, but by using the equivalent transformation described it becomes possible to obtain exact network functions of a class of nonuniform transmission lines

Keywords

electric impedance; equivalent circuits; transmission line theory; analysis method; cascade connection; characteristic impedance distributions; distributed transmission line; equivalent transformation; exact network functions; hyperbolic functions; ideal transformer; mixed lumped Richards section; nonuniform transmission lines; telegraph equation; trigonometric functions; Distributed parameter circuits; Equations; Gyrators; Impedance; Information science; Power transmission lines; Telegraphy; Transfer functions; Transmission line matrix methods; Transmission lines;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.3567

Filename

3567