Electromagnetic energy and momentum in moving media

Obukhov, Yuri N.

doi:10.1002/andp.200810313

Cited by 48 publications

(123 citation statements)

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“…Since Penfield and Haus [8] showed, in 1967, that neither the Abraham momentum nor the Minkowski momentum is the total momentum, the resolution of the Abraham-Minkowski controversy has been that the momentum for an arbitrary or unspecified field subsystem must be supplemented by an appropriate material momentum to obtain the total momentum [3][4][5][6][7][8][9][10][11][12][13][14][15]. Then, it must be demonstrated that the total momentum, so constructed, is actually conserved in a thermodynamically closed system, as that is usually not the case.…”

Section: The Total Energy and The Total Momentummentioning

confidence: 99%

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Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties

Crenshaw

2014

Journal of Mathematical Physics

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In a continuum setting, the energy-momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The welldefined total energy and the well-defined total momentum in a thermodynamically closed system with complete equations of motion are used to construct the total energy-momentum tensor for a stationary simple linear material with both magnetic and dielectric properties illuminated by a quasimonochromatic pulse of light through a gradient-index antireflection coating. The perplexing issues surrounding the Abraham and Minkowski momentums are bypassed by working entirely with conservation principles, the total energy, and the total momentum. We derive electromagnetic continuity equations and equations of motion for the macroscopic fields based on the material fourdivergence of the traceless, symmetric total energy-momentum tensor. We identify contradictions between the macroscopic Maxwell equations and the continuum form of the conservation principles. We resolve the contradictions, which are the actual fundamental issues underlying the AbrahamMinkowski controversy, by constructing a unified version of continuum electrodynamics that is based on establishing consistency between the three-dimensional Maxwell equations for macroscopic fields, the electromagnetic continuity equations, the four-divergence of the total energy-momentum tensor, and a four-dimensional tensor formulation of electrodynamics for macroscopic fields in a simple linear medium.

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Section: The Total Energy and The Total Momentummentioning

confidence: 99%

“…The Maxwell-Ampère Law, Eq. (4.4), can be written in terms of the vector potential as a wave equation 12) without the inhomogeneous part found in Eq. (2.7).…”

Section: The Linear Index Of Refractionmentioning

confidence: 99%

Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties

Crenshaw

2014

Journal of Mathematical Physics

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“…Some investigations based on relativistic approaches have also been carried out [6,11,17,18]. Some review papers can be found on this subject (but not for a metamaterial) [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Consistent Formalism for the Momentum of Electromagnetic Waves in Lossless Dispersive Metamaterials and the Conservation of Momentum

He¹,

Shen²,

He³

2011

PIER

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Abstract-A new formalism for electromagnetic and mechanical momentum in a metamaterial is developed by means of the technique of wave-packet integrals.The medium has huge mass density and can therefore be regarded as almost stationary upon incident electromagnetic waves. A clear identification of the momentum density and momentum flow, including their electromagnetic and mechanical parts, is obtained by employing this formalism in a lossless dispersive metamaterial (including the cases of impedance matching and mismatching with vacuum). It is found that the ratio of the electromagnetic momentum density to the mechanical momentum density depends on the impedance and group velocity of the electromagnetic wave inside the metamaterial. One of the definite results is that both the electromagnetic momentum and the mechanical momentum in the metamaterial are in the same direction as the energy flow, instead of in the direction of the wave vector. The conservation of total momentum is verified. In addition, the law of energy conservation in the process of normal incidence is also verified by using the wave-packet integral of both the electromagnetic energy density and the mechanical energy density, of which the latter is caused by the interaction between the induced electric/magnetic currents and the electric/magnetic field components of the electromagnetic wave.

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“…These constitutive relations are often used or derived for the premetric formulation of electromagnetism [4,5]. They are also used in the eikonal approximation or with the assumption that only one frequency is involved [6].…”

Section: Introductionmentioning

confidence: 99%

Covariant Constitutive Relations, Landau Damping and Non-Stationary Inhomogeneous Plasmas

Gratus¹,

Tucker²

2010

PIER M

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Abstract-Models of covariant linear electromagnetic constitutive relations are formulated that have wide applicability to the computation of susceptibility tensors for dispersive and inhomogeneous media. A perturbative framework is used to derive a linear constitutive relation for a globally neutral plasma enabling one to describe in this context a generalized Landau damping mechanism for non-stationary inhomogeneous plasma states.

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Electromagnetic energy and momentum in moving media

Cited by 48 publications

References 100 publications

Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties

Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties

Consistent Formalism for the Momentum of Electromagnetic Waves in Lossless Dispersive Metamaterials and the Conservation of Momentum

Covariant Constitutive Relations, Landau Damping and Non-Stationary Inhomogeneous Plasmas

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