Analytic determination of the capacitance matrix of planar or cylindrical multiconductor lines on multilayered substrates

Author

Homentcovschi, Dorel ; Ghione, Giovanni ; Naldi, Carlo ; Oprea, Radu

Author_Institution

Dept. of Math., Polytechnic Univ. of Bucharest, Romania

Volume

43

Issue

2

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

363

Lastpage

373

Abstract

An exact analytical expression for the Maxwell capacitance matrix of a multilayer, multistrip planar or cylindrical line is derived by solving the dual series equation system of the problem by means of a Volterra boundary-value problem. The solution is expressed in terms of some infinite matrices with very good convergence properties. Numerical examples show that the method yields accurate results and is also computationally effective for lines having a large number of conductors

Keywords

Volterra equations; boundary-value problems; capacitance; circular waveguides; convergence of numerical methods; waveguide theory; Maxwell capacitance matrix; Volterra boundary-value problem; capacitance matrix; convergence properties; cylindrical multiconductor lines; dual series equation system; infinite matrices; multilayered substrates; planar multiconductor lines; Capacitance; Conductors; Conformal mapping; Dielectrics; Geometry; Integrated circuit yield; Maxwell equations; Microstrip; Nonhomogeneous media; Transmission line matrix methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.348097

Filename

348097