Calculation of Coefficients of Capacitance of Multiconductor Transmission Lines in the Presence of a Dielectric Interface

A method is given for the numerical determination of the coefficients of capacitance for a class of multiconductor transmission-line systems. This class includes systems without ground planes, or with one or two ground planes, with the lines embedded in one or two layers of dielectrics. The conductors can be of any cross section that can be approximated adequately by polygons. The method is a refinement of the subareas method in which the assumption of a "staircase function" surface charge density, that is, constant charge density over each subarea, is replaced by the assumption of a piecewise linear charge density over the conductor surfaces, and the charge density parameters are determined by making a least-squares fit to the potential to the boundary conditions of the problem.

[1]  F. Bowman,et al.  Notes on Two-Dimensional Electric Field Problems , 1935 .

[2]  H. B. Palmer The capacitance of a parallel-plate capacitor by the Schwartz-Christoffel transformation , 1937, Electrical Engineering.

[3]  Thomas J. Higgins,et al.  Calculation of the Electrical Capacitance of a Cube , 1951 .

[4]  F. Assadourian,et al.  Simplified Theory of Microstrip Transmission Systems , 1952, Proceedings of the IRE.

[5]  S. Cohn,et al.  Characteristic Impedance of the Shielded-Strip Transmission Line , 1954 .

[6]  T. Higgins,et al.  Rigorous Determination of the Parameters of Microstrip Transmission Lines , 1955 .

[7]  S. Cohn Shielded Coupled-Strip Transmission Line , 1955 .

[8]  R.H.T. Bates The Characteristic Impedance of the Shielded Slab Line , 1956 .

[9]  D. K. Reitan Accurate Determination of the Capacitance of Rectangular Parallel‐Plate Capacitors , 1959 .

[10]  T.-S. Chen,et al.  Determination of the Capacitance, Inductance, and Characteristic Impedance of Rectangular Lines , 1960 .

[11]  S. Cohn Characteristic Impedances of Broadside-Coupled Strip Transmission Lines , 1960 .

[12]  W. Getsinger Coupled Rectangular Bars Between Parallel Plates , 1962 .

[13]  H. E. Green The Characteristic Impedance of Square Coaxial Line (Correspondence) , 1963 .

[14]  H. A. Wheeler Transmission-Line Properties of Parallel Wide Strips by a Conformal-Mapping Approximation , 1964 .

[15]  R. V. Garver,et al.  Characteristic Impedance of Rectangular Coaxial Transmission Lines , 1964 .

[16]  E. G. Cristal Coupled Circular Cylindrical Rods Between Parallel Ground Planes , 1964 .

[17]  M. V. Schneider Computation of Impedance and Attenuation of TEM-Lines by Finite Difference Methods , 1965 .

[18]  H. E. Green The Numerical Solution of Some Important Transmission-Line Problems , 1965 .

[19]  H. A. Wheeler Transmission-Line Properties of Parallel Strips Separated by a Dielectric Sheet , 1965 .

[20]  J. W. Duncan,et al.  Characteristic Impedances of Multiconductor Strip Transmission Lines , 1965 .

[21]  The Characteristic Impedance and Velocity Ratio of Dielectric-Supported Strip Line (Correspondence) , 1965 .

[22]  H. Guckel Characteristic Impedances of Generalized Rectangular Transmission Lines , 1965 .

[23]  J. Shelton Impedances of Offset Parallel-Coupled Strip Transmission Lines , 1966 .

[24]  S. Yamamoto,et al.  Slit-Coupled Strip Transmission Lines , 1966 .

[25]  S. Yamamoto,et al.  Coupled Strip Transmission Line with Three Center Conductors , 1966 .

[26]  Current Distribution and Impedance of Lossless Conductor Systems , 1967 .

[27]  R. Mittra,et al.  Variational Method for the Analysis of Microstrip Lines , 1968 .

[28]  G. I. Haddad,et al.  The Characteristic Impedance and Coupling Coefficient of Coupled Rectangular Strips in a Waveguide , 1968 .

[29]  H. E. Stinehelfer,et al.  An Accurate Calculation of Uniform Microstrip Transmission Lines , 1968 .

[30]  D. Kammler Calculation of Characteristic Admittances and Coupling Coefficients for Strip Transmission Lines , 1968 .

[31]  E. Yamashita Variational Method for the Analysis of Microstrip-Like Transmission Lines , 1968 .

[32]  Y. M. Hill,et al.  A general method for obtaining impedance and coupling characteristics of practical microstrip and triplate transmission line configurations , 1969 .