Title

Analytical and Numerical Computations of Prolate Spheroidal Shell Capacitance

Document Type

Article

Publication Date

10-2009

Publication Source

Microwave and Optical Technology Letters

Volume

51

Issue

10

Inclusive pages

2361-2365

DOI

10.1002/mop.24630

Publisher

John Wiley & Sons, Inc.

Place of Publication

United States

ISBN/ISSN

08952477

Peer Reviewed

yes

Abstract

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.

Keywords

Explicit finite difference method; Laplacian equation; Prolate spheroidal shell capacitance; Scale factors

Disciplines

Electrical and Computer Engineering

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