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Re: visualizing fields near charged objects



At 9:39 AM -0600 2/9/01, Joel Rauber wrote:
A partial answer to this question is that one must develope a finite
difference scheme to approximate the laplacian in these coordinates. Some
references that are readily available and may be of partial help.

Abromowitz & Stegun: section 25 around page 877

They seem to think the world is two dimensional*. A reference I just
found this morning may be more to the point: "Fields and Electrodynamics:
A Computer-Compatible Introduction" by Pieter B. Visscher. Chapter 16 is
devoted to this and more. I got this book from a publisher's rep some
time ago. I hadn't really looked at it much before this morning. The book
may be obscure; Amazon shows it as out of print. It was published in 1988
so check you unperused publishers' samples.

Leigh

*They write Laplace's equation in two dimensions.