Analytical and Numerical Computations of Prolate Spheroidal Shell Capacitance
Microwave and Optical Technology Letters
John Wiley & Sons, Inc.
Place of Publication
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.
Explicit finite difference method; Laplacian equation; Prolate spheroidal shell capacitance; Scale factors
Electrical and Computer Engineering
O. D. Momoh, M. N. O. Sadiku, and C.M. Akujuobi (2009).
Analytical and Numerical Computations of Prolate Spheroidal Shell Capacitance. Microwave and Optical Technology Letters.51 (10), 2361-2365. United States: John Wiley & Sons, Inc..