Induced Dipoles in Electromagnetic Media in Motion

Abstract

We present a non-relativistic approach to the equivalent polarization () 2 1 eq eq c = × P v M , that appears in a magnetized medium in motion. We apply an analogous method to that used by Panofsky and Phillips to calculate the symmetric effect, the equivalent magnetization that appears in a polarized dielectric in motion, eq = × M P v , This method is based on a particular expression of Maxwell's equations and the application of the convective derivative. These authors argue, however, that the equivalent polarization can be obtained only with a relativistic approach. We show that with the same method, but with a different and equivalent expression of Maxwell's equations, this effect can also be calculated. In this way both effects can be considered relativistic effects to first order in v/c.

Hamiltonian formulations for perturbed dissipationless plasma equations

“…with contributions from the polarization and magnetization current densities, respectively, as well as the convective polarization-charge current density u (∇ • P) [45,46]. The Euler-Lagrange equations…”