Analysis of the suspended strip in elliptical cross section by separation of variables

Author

Rozzi, Tullio ; Pierantoni, Luca ; Ronzitti, Marco

Author_Institution

Dept. of Electron. & Control, Ancona Univ., Italy

Volume

45

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

1778

Lastpage

1784

Abstract

The coaxial suspended strip configuration in elliptical cross section is often found in transitions from ordinary coax to planar circuits and other geometries. Using elliptical coordinates makes the problem separable, leading to closed-form solutions for the fundamental TEM mode and the TE/TM higher modes. It is emphasized that the presence of the thin strip is dealt with analytically by this approach. Mode patterns and TEM characteristic impedance are reported. The cutoff frequencies versus eccentricity are computed for the first eight modes

Keywords

coaxial cables; electric impedance; strip lines; wave equations; waveguide theory; TE higher modes; TEM characteristic impedance; TM higher modes; closed-form solutions; coaxial suspended strip configuration; cutoff frequencies; elliptical coordinates; elliptical cross section; fundamental TEM mode; mode patterns; separation of variables; suspended strip; Coaxial components; Conductors; Coplanar waveguides; Cutoff frequency; Finite difference methods; Geometry; Impedance; Partial differential equations; Strips; Tellurium;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.641728

Filename

641728