Re-visiting the Balazs Thought Experiment in the Presence of Loss: Electromagnetic-Pulse-Induced Displacement of a Positive-Index Slab having Arbitrary Complex Permittivity and Permeability
Kenneth J. Chau, Henri J. Lezec
Over a half-century ago, Balazs proposed a thought experiment to deduce the form of electromagnetic momentum in a transparent and loss- less slab by imposing conservation of global momentum and system center- of-mass velocity after a pulse has traveled through the slab. Here, we re-visit the Balazs thought experiment by explicit calculations of momentum trans- fer and center-of-mass displacement of a dispersion-less, positive-index slab of arbitrary complex permittivity and permeability using a set of postulates consisting only of Maxwell's nist-equations, a generalized Lorentz force law, the Abraham form of the electromagnetic momentum density, and conservation of both pulse and slab mass. In the case where the slab is lossless, we show that a pulse of arbitrary shape incident onto the slab conserves both global momentum and system center-of-mass velocity, consistent with the starting postulates of the Balazs thought experiment. In the case where the slab is lossy, we show, within the context of the above postulates, that global momentum is always conserved and that system center-of-mass velocity is conserved only when mass transfer from the pulse to the slab is described by an incremental pulse-mass-transfer model, proposed here, in which the pulse deposits mass in the slab with a distribution corresponding to the instantaneous mass density pro le of the pulse.
Electromagnetic theory, Photon momentum, Photon mass, Electromagnetic momentum transfer, Absorption Loss, Balazs thought experiment, Conservation of momentum, Conservation of mass, Conservation of velocity of center of mass, Maxwell equations, Lorentz force, Maxwell stress tensor
Created October 12, 2011, Updated February 17, 2017