Inhomogeneous layered planar structures: an analysis of reflection coefficient

Author

Urbani, Fabio ; Vegni, Lucio ; Toscano, Alessandro

Author_Institution

Dept. of Electron. Eng., Third Univ. of Rome, Italy

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2771

Lastpage

2774

Abstract

In this paper we find the solution of telegrapher´s equations for a non-homogeneous medium applying the theory of hypergeometric functions. Also we show that such a medium is described by means of a stratified structure, so we can use the developed theory for microwave components. We find the behavior of the reflection coefficient and compare it with other known results present in literature. Moreover, we show how an exponentially tapered non uniform transmission line (ETNUTL) can be treated as a high-pass filter. It is found that the exponential profile improves the performance of the filter and the normalized transmission coefficient is given for different values of tapering factor. Finally, we find a lumped equivalent circuit for the filter, whose elements are dependent on the tapering factor. The high-pass characteristics of an ETNUTL are verified with techniques in the frequency domain

Keywords

equivalent circuits; high-pass filters; spectral analysis; transmission line theory; exponential profile; exponentially tapered nonuniform transmission line; high-pass characteristics; high-pass filter; hypergeometric functions; inhomogeneous layered planar structures; lumped equivalent circuit; microwave components; normalized transmission coefficient; reflection coefficient; stratified structure; tapering factor; telegrapher´s equations; Band pass filters; Distributed parameter circuits; Equations; Equivalent circuits; Frequency domain analysis; Microwave filters; Permittivity; Power transmission lines; Reflection; Transmission line theory;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717644

Filename

717644