TEM modes in parallel-line transmission structures

Author

Silvester, Peter P. ; Chamlian, Simon V.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

37

Issue

3

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

384

Lastpage

391

Abstract

A transmission structure of many parallel conductors is capable of propagating many distinct quasi-TEM modes. A field theory of such modes is developed for a theoretically infinite number of very thin conductors. These possess infinitely many distinct propagation modes, which are the eigenfunctions of a pair of integral operators with Green´s function kernels. The modes depend strongly on the structure cross-sectional shape and size, only slightly on the number and placement of individual conductors. The theory is illustrated by a structure comprising many thin parallel wires on a dielectric substrate backed by a ground plane, whose modal functions and velocity distributions are used to solve a simple crosstalk problem

Keywords

Green´s function methods; crosstalk; eigenvalues and eigenfunctions; transmission line theory; Green´s function kernels; TEM modes; crosstalk problem; dielectric substrate; distinct quasi-TEM modes; eigenfunctions; field theory; integral operators; modal functions; parallel conductors; parallel-line transmission structures; propagation modes; size; structure cross-sectional shape; velocity distributions; very thin conductors; Circuits; Conductors; Crosstalk; Dielectric substrates; Eigenvalues and eigenfunctions; Electromagnetic propagation; Helium; Kernel; Shape; Wires;

fLanguage

English

Journal_Title

Electromagnetic Compatibility, IEEE Transactions on

Publisher

ieee

ISSN

0018-9375

Type

jour

DOI

10.1109/15.406527

Filename

406527