An analytical solution to the microstrip line problem

Author

Homentcovschi, Dorel

Author_Institution

Central Inst. of Math., Bucharest, Romania

Volume

38

Issue

6

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

766

Lastpage

769

Abstract

An analytical method for determining the line capacitance of a microstrip line is presented. The solution is exact, but it is expressed by means of the solution of an infinite system of linear equations whose coefficients are the result of certain numerical quadratures. The analysis is carried out for the case of two dielectric substrates. Changes to include additional stratified layers are readily available using the transfer matrix method described by P.M. van Berg et al. (1985). Comparison of the results obtained using the proposed formula with those obtained using exact formulas (available in particular cases) shows that, in cases of practical interest, it is sufficient to consider only the first two equations in the above-mentioned infinite set of linear equations

Keywords

strip lines; waveguide theory; analytical method; dielectric substrates; infinite system; line capacitance; linear equations; microstrip line problem; numerical quadratures; stratified layers; transfer matrix method; Capacitance; Circuits; Conformal mapping; Dielectric substrates; Equations; Frequency; Microstrip; Microwave propagation; Strips; Transmission line theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.130972

Filename

130972