Electromagnetic momentum in magnetic media and the Abraham–Minkowski controversy

Jiménez, J. L.; Campos, Irma Manrique; López-Mariño, M. A.

doi:10.1088/0143-0807/32/3/010

Cited by 11 publications

(8 citation statements)

References 6 publications

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“…We have also shown that other balance equations lead to the radiation force, as it must be since all these balance equations are consequences of the Maxwell equations. These balance equations also provide a general perspective to resolve the old controversy of Abraham and Minkowski [2,3] by showing that these balance equations imply different electromagnetic momentum densities, among them those proposed by Abraham and Minkowski [3], which are part of different balance equations, avoiding in this way the usual conflict. Alternative views are found in [12,13], which however also stablish that experiments do not allow to conclude the rightness of any of these proposals.…”

Section: Discussionmentioning

confidence: 91%

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Radiation force and balance of electromagnetic momentum

2016

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Some force densities can be expressed as a divergence of a stress tensor, as is the case with the electromagnetic force density. We have shown elsewhere that from the Maxwell equations several balance equations of electromagnetic momentum can be derived, depending on the form these equations are expressed in terms of fields E, D, B, H, and polarisations P and M. These balance equations imply different force densities and different stress tensors, providing a great flexibility to solve particular problems. Among these force densities we have found some proposed in the past with plausibility arguments, like the Einstein–Laub force density, while other proposed force densities appear as particular or limit cases of these general force densities, like the Helmholtz force density. We calculate the radiation force of an electromagnetic wave incident on a semi-infinite negligibly absorbing material using these balance equations, corroborating in this way that the surface integration of the stress tensor gives the same result that the calculation made through a volume integration of the force density, as done by Bohren. As is usual in applications of Gauss’s theorem, the surface on which the surface integral is to be performed must be chosen judiciously, and due care of discontinuities on the boundary conditions must be taken. Advanced undergraduates and graduate students will find a different approach to new aspects of the interaction of radiation with matter.

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Section: Discussionmentioning

confidence: 91%

“…These balance equations are as sound as the Maxwell equations, and have served to understand better the Abraham-Minkowski controversy about the correct expression of the electromagnetic momentum [3]. This controversy has been addressed both theoretically and experimentally.…”

Section: Introductionmentioning

confidence: 99%

Radiation force and balance of electromagnetic momentum

2016

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“…Since the Minkowski momentumenergy (ℏn ′ d k ′ , ℏω ′ /c) is four-vector covariant, we have Eqs. (9) and (10) holding. Setting −β ′ = β = βn ′ (the water moves parallel to the wave vector), from Eq.…”

Section: Four-vector Covariance Of Minkowski Photon Momentum Andmentioning

confidence: 96%

“…Light momentum has been widely investigated, even for all different kinds of dielectric materials, including magnetic [9,10] and dispersive [11], but no agreement has been reached about which formulation is correct. Comprehensive presentations of the Abraham-Minkowski controversy are given in some review papers such as in [12][13][14], where there are a lot of valuable references collected.…”

Section: Introductionmentioning

confidence: 99%

Self-consistent theory for a plane wave in a moving medium and light-momentum criterion

Wang¹

2015

Can. J. Phys.

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A self-consistent theory is developed based on the principle of relativity for a plane wave in a moving non-dispersive, lossless, non-conducting, isotropic uniform medium. Light-momentum criterion is set up for the first time, which states that the momentum of light in a medium is parallel to the wave vector in all inertial frames of reference. By rigorous analysis, novel basic properties of the plane wave are exposed: (1) Poynting vector does not necessarily represent the electromagnetic (EM) power flow when a medium moves, (2) Minkowski light momentum and energy constitute a Lorentz four-vector in a form of single EM-field cell or single photon, and Planck constant is a Lorentz invariant, (3) there is no momentum transfer taking place between the plane wave and the uniform medium, and the EM momentum conservation equation cannot be uniquely determined without resort to the principle of relativity, and (4) when the medium moves opposite to the wave vector at a faster-than-dielectric light speed, negative frequency and negative EM energy density occur, with the plane wave becoming left-handed. Finally, a new physics of so-called "intrinsic Lorentz violation" is presented as well.

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“…Although usually defined through rays and wave equations [69][70][71][72][73][74][75][76][77], the most fundamental, axiomatic GO is an abstract field theory that applies to any field having a Lagrangian density of a specific form [Eq. (11); dissipative effects can also be added, Sec. IV D].…”

Section: B Field-theoretical Approachmentioning

confidence: 99%

Axiomatic Geometrical Optics, Abraham-Minkowski Controversy, and Photon Properties Derived Classically

Fisch¹

2012

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By restating geometrical optics within the field-theoretical approach, the classical concept of a photon in arbitrary dispersive medium is introduced, and photon properties are calculated unambiguously. In particular, the canonical and kinetic momenta carried by a photon, as well as the two corresponding energy-momentum tensors of a wave, are derived straightforwardly from first principles of Lagrangian mechanics. The Abraham-Minkowski controversy pertaining to the definitions of these quantities is thereby resolved for linear waves of arbitrary nature, and corrections to the traditional formulas for the photon kinetic quantities are found. An application of axiomatic geometrical optics to electromagnetic waves is also presented as an example.

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Electromagnetic momentum in magnetic media and the Abraham–Minkowski controversy

Cited by 11 publications

References 6 publications

Radiation force and balance of electromagnetic momentum

Radiation force and balance of electromagnetic momentum

Self-consistent theory for a plane wave in a moving medium and light-momentum criterion

Axiomatic Geometrical Optics, Abraham-Minkowski Controversy, and Photon Properties Derived Classically

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