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Proceedings Paper

Continuum electrodynamics and the Abraham-Minkowski momentum controversy
Author(s): Michael E. Crenshaw
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Paper Abstract

Continuum electrodynamics is an axiomatic formal theory based on the macroscopic Maxwell equations and the constitutive relations. We apply the formal theory to a thermodynamically closed system consisting of an antireection coated block of dielectric situated in free-space and illuminated by a quasimonochromatic field. We show that valid theorems of the formal theory are proven false by relativity and by conservation laws. Then the axioms of the formal theory are proven false at a fundamental level of mathematical logic. We derive a new formal theory of continuum electrodynamics for macroscopic electric and magnetic fields in a four-dimensional at non-Minkowski material spacetime in which the speed of light is c/n.

Paper Details

Date Published: 25 August 2015
PDF: 9 pages
Proc. SPIE 9548, Optical Trapping and Optical Micromanipulation XII, 95480J (25 August 2015); doi: 10.1117/12.2188132
Show Author Affiliations
Michael E. Crenshaw, U.S. Army Aviation and Missile Research, Development, and Engineering Ctr. (United States)


Published in SPIE Proceedings Vol. 9548:
Optical Trapping and Optical Micromanipulation XII
Kishan Dholakia; Gabriel C. Spalding, Editor(s)

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