Two Variational Principles for Magnetostatic Calculations

Publisher Website
Google Scholar
Abstract
Two variational principles for the estimation of the self‐interaction energy of a solenoidal current density are introduced. The two variational principles are direct magnetic analogs of the principles of Thomson and Dirichlet for estimating interactions of charge densities. One of the magnetostatic variational principles provides an upper bound on the self‐interaction energy, and the other, a lower bound. It is shown how one may extend the ideas to the estimation of the interaction of dissimilar current densities. Various other refinements and extensions are discussed, and a sample calculation is exhibited.

This publication has 2 references indexed in Scilit: