Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties
In a continuum setting, the energy–momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The welldefined total energy and the welldefined total momentum in a thermodynamically closed system with complete equations of motion are used to construct the total energy–momentum tensor for a stationary simple linear material with both magnetic and dielectric properties illuminated by a quasimonochromatic pulse of light through a gradientindex antireflection coating. The perplexing issues surrounding the Abraham and Minkowski momentums are bypassed by working entirely with conservation principles, the total energy, and the total momentum. We derive electromagnetic continuity equations and equations of motion for the macroscopic fields based on the material fourdivergence of the traceless, symmetric total energy–momentum tensor. We identify contradictions between the macroscopic Maxwell equations and the continuum form of the conservation principles. We resolve the contradictions, which are the actual fundamental issues underlying the Abraham–Minkowski controversy, by constructing a unified version of continuum electrodynamics that is based on establishing consistency between the threedimensional Maxwell equations for macroscopic fields, the electromagnetic continuity equations, the fourdivergence of the total energy–momentum tensor, and a fourdimensional tensor formulation of electrodynamics for macroscopic fields in a simple linearmore »
 Authors:

^{[1]}
 US Army Aviation and Missile Research, Development, and Engineering Center, Redstone Arsenal, Alabama 35898 (United States)
 Publication Date:
 OSTI Identifier:
 22250766
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; BYPASSES; CONTINUITY EQUATIONS; DIELECTRIC PROPERTIES; ELECTRODYNAMICS; ENERGY CONSERVATION; EQUATIONS OF MOTION; FOURDIMENSIONAL CALCULATIONS; LINEAR MOMENTUM; MAXWELL EQUATIONS; MINKOWSKI SPACE; PULSES; SYMMETRY; TENSORS; THREEDIMENSIONAL CALCULATIONS