Title :
Analytic determination of the capacitance matrix of planar or cylindrical multiconductor lines on multilayered substrates
Author :
Homentcovschi, Dorel ; Ghione, Giovanni ; Naldi, Carlo ; Oprea, Radu
Author_Institution :
Dept. of Math., Polytechnic Univ. of Bucharest, Romania
fDate :
2/1/1995 12:00:00 AM
Abstract :
An exact analytical expression for the Maxwell capacitance matrix of a multilayer, multistrip planar or cylindrical line is derived by solving the dual series equation system of the problem by means of a Volterra boundary-value problem. The solution is expressed in terms of some infinite matrices with very good convergence properties. Numerical examples show that the method yields accurate results and is also computationally effective for lines having a large number of conductors
Keywords :
Volterra equations; boundary-value problems; capacitance; circular waveguides; convergence of numerical methods; waveguide theory; Maxwell capacitance matrix; Volterra boundary-value problem; capacitance matrix; convergence properties; cylindrical multiconductor lines; dual series equation system; infinite matrices; multilayered substrates; planar multiconductor lines; Capacitance; Conductors; Conformal mapping; Dielectrics; Geometry; Integrated circuit yield; Maxwell equations; Microstrip; Nonhomogeneous media; Transmission line matrix methods;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on