Induced Dipoles in Electromagnetic Media in Motion

Abstract

We present a non-relativistic approach to the equivalent polarization P eq =(1/ c 2 ) v × M eq , 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, M eq = 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 .