From Event: SPIE Nanoscience + Engineering, 2018
Optically induced forces are under intensive investigation as part of a toolkit for micromanipulation and nanofabrication technology. The long-disputed Abraham-Minkowski momentum controversy remains a significant issue for the theoretical treatment of optically induced forces on and within a linear optical medium. We disclose the existence of a theoretical paradox in which an easily verifiable identity of the macroscopic Maxwell field equations violates special relativity and other fundamental physical principles. We derive a new theory of continuum electrodynamics from Lagrangian field theory and we discuss how the new theory relates to fundamental physical principles applied to a linear magneto-dielectric medium including flat non-Minkowski material spacetime, dielectric special relativity, and spacetime conservation laws.
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Michael E. Crenshaw, "The Abraham-Minkowski momentum controversy for a linear magneto-dielectric medium," Proc. SPIE 10723, Optical Trapping and Optical Micromanipulation XV, 107230Q (Presented at SPIE Nanoscience + Engineering: August 21, 2018; Published: 7 September 2018); https://doi.org/10.1117/12.2320713.