Capacitance Calculations Using the Lattice Green Function in Two Dimensions

TL;DR

This paper introduces a method using the lattice Green function to compute capacitances between conductors in two dimensions, including symmetric cases and multi-conductor configurations, with practical examples.

Contribution

It presents a novel approach to capacitance calculation in 2D using lattice Green functions, simplifying the process for symmetric conductors and extending to multiple conductors.

Findings

Capacitances can be accurately calculated using the lattice Green function approach.

Symmetry conditions simplify the calculations for identical conductors.

The method is demonstrated with examples of stripline configurations.

Abstract

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.