A multipipe model of general strip transmission lines for rapid convergence of integral equation singularities

Author

Howard, Gregory E. ; Yang, Jian Jun ; Chow, Y. Leonard

Author_Institution

British Columbia Univ., Vancouver, BC, Canada

Volume

40

Issue

4

fYear

1992

fDate

4/1/1992 12:00:00 AM

Firstpage

628

Lastpage

636

Abstract

An integral equation for solving thin conducting strip problems always involves three singularities, namely, two charge singularities at the strip edges and the Green´s function singularity for close proximity of source and field points. This work overcomes the singularity convergence problem using Gauss-Chebyshev quadrature for the edge charges, but more importantly by a multipipe model for the Green´s function singularity. This model applies equally well to both two-dimensional (2-D) and three-dimensional (3-D) problems of metallic strips embedded in multilayer dielectric substrates. To reduce the scope, however, this work analyzes only the quasi-TEM (transverse electromagnetic) cases of 2-D thin-strip transmission lines in multilayer dielectric substrates

Keywords

Green´s function methods; convergence of numerical methods; integral equations; strip lines; waveguide theory; 2D problems; 3D problems; Gauss-Chebyshev quadrature; Green´s function singularity; charge singularities; edge charges; integral equation singularities; metallic strips; multilayer dielectric substrates; multipipe model; rapid convergence; singularity convergence problem; strip edges; strip transmission lines; substrate embedded strips; thin conducting strip problems; Convergence; Dielectric substrates; Electromagnetic analysis; Gaussian processes; Green´s function methods; Integral equations; Nonhomogeneous media; Strips; Transmission lines; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.127509

Filename

127509