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Proceedings Paper

Electromagnetic momentum in a dielectric and the energy-momentum tensor
Author(s): Michael E. Crenshaw
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Paper Abstract

The Abraham–Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy–momentum tensor in the case of a plane quasimonochromatic field in a simple linear dielectric. We show that the Gordon form of the electromagnetic momentum is conserved in a thermodynamically closed system. We regard conservation of the components of the four-momentum in a thermodynamically closed system as a fundamental property of the energy–momentum tensor. Then the first row and column of the energy–momentum tensor is populated by the electromagnetic energy density and the Gordon momentum density. We derive new electromagnetic continuity equations for the electromagnetic energy and momentum that are based on the Gordon momentum density. These continuity equations can be represented in the energy–momentum tensor using a material four-divergence operator in which temporal differentiation is performed with respect to ct/n.

Paper Details

Date Published: 10 October 2012
PDF: 8 pages
Proc. SPIE 8458, Optical Trapping and Optical Micromanipulation IX, 845804 (10 October 2012); doi: 10.1117/12.946255
Show Author Affiliations
Michael E. Crenshaw, U.S. Army Aviation and Missile Command (United States)

Published in SPIE Proceedings Vol. 8458:
Optical Trapping and Optical Micromanipulation IX
Kishan Dholakia; Gabriel C. Spalding, Editor(s)

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