Title :
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
fDate :
4/1/1992 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
