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Analytical and numerical computation of prolate spheroidal shell capacitance

This article presents analytical and numerical methods of computing the capacitance of a prolate spheroidal shell. Detailed and comprehensive equations for determining the exact results were developed. Also, an explicit finite difference (FD) numerical technique for solving Laplace's equation in prolate spheroidal coordinates systems for an axially symmetric geometry has been developed. Consequently, the FD results were used to compute the capacitance of the spheroidal shell in an easy to understand manner. This was achieved using the Dirichlet boundary conditions on the prolate spheroidal surfaces. The capacitance results obtained using FD did agree with those obtained using analytical method. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2361–2365, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24630