Finite difference algorithms are widely used to numerically solve Laplace's equation for electrode structures that are not amendable to analytic treatment. This includes essentially all real situations. However, in many cases, it is desirable to have the solution in an analytic form. A common practice is to "fit" the numerical solution either by least squares or cubic spline approach. Neither of these approaches is really accurate, nor do they produce unique results. These limitations are avoided by our approach.
Revised: July 1, 2009 |
Published: May 1, 2002
Citation
Barlow S.E., A.E. Taylor, and K.R. Swanson. 2002.Analytic Potentials for Realistic Electrodes. In AIP Conference Proceedings: Non-Neutral Plasma Physics IV: Workshop on Non-Neutral Plasmas, 606, 519-524. Melville, New York:American Institute of Physics.PNNL-SA-35167.doi:10.1063/1.1454325