Simplified Green's functions for calculating capacitance and inductance of multiconductor transmission lines in multilayered media

摘要

Using the impedance formula and the asymptotic property of the hyperbolic tangent function, the Green's function due to a line source embedded in a general layered medium has been analytically converted into a more suitable form for numerical calculation of capacitance and inductance. The new form is designed to eliminate slow convergence when the vertical distance of the source and field points is small. Another simplified Green's function for the layered medium shielded by two rectangular outer conductors is also given. Numerical results are compared with published data. The agreement is excellent.