Compact form of weakly relativistic dielectric tensor for uniform Maxwellian plasma

Abstract

A form of weakly relativistic dielectric tensor valid for oblique propagation has been developed in previous works. Nevertheless this form was somehow cumbersome to deal with. In present work, authors start from those results to show that the weakly relativistic dielectric tensor can be written in a compact form that is consistent with the more elegant form of the non-relativistic dielectric tensor.