Capacitance Calculations Using the Lattice Green Function in Two Dimensions

Details Capacitance Calculations Using the Lattice Green Function in Two Dimensions Capacitance Calculations Using the Lattice Green Function in Two Dimensions

2006-01-02

arxiv.org/abs/cond-mat/0601016v1

Physics

Condensed Matter

Other Condensed Matter

12 pages, 6 figures, LaTeX created with LyX 1.3.5. For associated computer codes see http://www.exstrom.com/lgf/lgf.html

Scientific paper

We show how to use the lattice Green function to calculate capacitances in two dimensions with boundary conditions at infinity. It is shown how to calculate coefficients of capacitance and induction from the lattice Green function. A general analysis of two arbitrary conductors is carried out. It is shown how the calculations can be simplified in the case of identical conductors when certain symmetry conditions are met. Example calculations for a parallel and coplanar stripline are shown. The use of the two conductor formulas for the case of three or more conductors is discussed.

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