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

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. >

[1]  P. Silvester,et al.  TEM wave properties of microstrip transmission lines , 1968 .

[2]  W. Weeks.  Calculation of Coefficients of Capacitance of Multiconductor Transmission Lines in the Presence of a Dielectric Interface , 1970 .

[3]  H. A. Wheeler.  Transmission-Line Conductors of Various Cross Sections , 1980 .

[4]  T. Sarkar,et al.  Multiconductor Transmission Lines In Multilayered Dielectric Media , 1984 .

[5]  F. Medina,et al.  Capacitance and Inductance Matrices for Multistrip Structures in Multilayered Anisotropic Dielectrics , 1987 .

[6]  Barry K. Gilbert,et al.  Improved algorithmic methods for the prediction of wavefront propagation behavior in multiconductor transmission lines for high frequency digital signal processors , 1989, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  S. Koul,et al.  Stripline-Like Transmission Lines for Microwave Integrated Circuits , 1989 .

[8]  R. Mittra,et al.  Modeling of planar transmission line structures for digital circuit applications , 1989 .

[9]  R. Mittra,et al.  Higher order asymptotic boundary condition for the finite element modeling of two-dimensional transmission line structures , 1990 .

[10]  J. Wait.  Complex image theory-revisited , 1991, IEEE Antennas and Propagation Magazine.

[11]  N. Fache,et al.  New fast and accurate line parameter calculation of general multiconductor transmission lines in multilayered media , 1991 .

[12]  J. J. Yang,et al.  Complex images for electrostatic field computation in multilayered media , 1991 .

[13]  Y L Chow,et al.  Mixed Spectral/Spatial Domain Moment Method Simulation of Components and Circuits , 1991, 1991 21st European Microwave Conference.