
%0 Journal Article
%A Dewar, RL 
%T Energy&#8211;Momentum Tensors for Dispersive Electromagnetic Waves
%J Australian Journal of Physics
%D 1977/12/01
%V 30
%N 6
%P 533-576
%K 
%R https://doi.org/10.1071/PH770533
%U https://www.publish.csiro.au/paper/PH770533 
%X Classical relativistic field theory is used as a basis for a general discussion of the problem of splitting up the total energy&#8211;momentum tensor of a system into contributions from its component subsystems. Both the Minkowski and Abraham forms (including electrostriction) arise naturally in alternative split-up procedures applied to a non dispersive dielectric fluid. The case of an electromagnetic wave in a (spatially and temporally) dispersive medium in arbitrary but slowly varying motion is then treated. In the dispersive case the results cannot be found by replacing the dielectric constant &#949; with &#949;(&#954;, &#969;) but include derivatives with respect to the wave vector &#954; and the frequency &#969;. Ponderomotive force expressions are obtained and the perturbation in the total energy&#8211;momentum tensor due to a one-dimensional wavepacket is found. A nonlinear Schr&#246;dinger equation is obtained for the evolution of a three-dimensional wavepacket. Both hot and cold plasmas are treated. 
