Electromagnetic Energy Momentum Tensor in a Spatially Dispersive Medium
Chris Fietz
TL;DR
This paper derives a generalized electromagnetic energy momentum tensor for monochromatic waves in spatially dispersive media, linking it to known energy expressions and introducing new momentum descriptions.
Contribution
It presents a novel derivation of the Minkowski Energy Momentum Tensor accounting for spatial dispersion effects in lossless media.
Findings
Derived a generalized Minkowski Energy Momentum Tensor for dispersive media
Connected the tensor to traditional energy and flux expressions
Introduced new formulas for momentum density and flux in dispersive environments
Abstract
We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and energy flux, as well as new expressions for momentum density and momentum flux.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Electrodynamics and Casimir Effect · Quantum, superfluid, helium dynamics