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

He, Yingran; Shen, Jing; He, Sailing

doi:10.2528/pier11032006

Cited by 13 publications

(12 citation statements)

References 30 publications

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“…There are many formulations in electromagnetics that can benefit from the vector potential formulation, such as momentum and stress tensors which are important for optical tweezers work or Casimir force calculations [30][31][32]. We will postpone these discussions to future papers.…”

Section: Introductionmentioning

confidence: 99%

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Chew¹

2014

PIER

131

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Abstract-The mixed vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The present rapid development in quantum optics applications calls for electromagnetic solutions that straddle both the quantum and classical physics regimes. The vector potential formulation using A and Φ (or A-Φ formulation) is a good candidate to bridge these two regimes. Hence, there is a need to generalize this formulation to inhomogeneous media. A generalized gauge is suggested for solving electromagnetics problems in inhomogenous media that can be extended to the anistropic case. An advantage of the resulting equations is their absence of catastrophic breakdown at low-frequencies. Hence, the usual differential equation solvers can be used to solve them over a wide range of scales and bandwidth. It is shown that the interface boundary conditions from the resulting equations reduce to those of classical Maxwell's equations. Also, the classical Green's theorem can be extended to such a formulation, resulting in an extinction theorem and a surface equivalence principle similar to the classical case. Moreover, surface integral equation formulations can be derived for piecewise homogeneous scatterers. Furthermore, the integral equations neither exhibit the low-frequency catastrophe nor the frequency imbalance observed in the classical formulation using E-H fields. The matrix representation of the integral equation for a PEC (perfect electric conductor) scatterer is given.

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Section: Introductionmentioning

confidence: 99%

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Chew¹

2014

PIER

131

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“…However, magnetic properties could not be taken into account by means of this approach, and the problem of "hidden momentum" [24,30,[33][34][35] aroused in the case of a magnetoelectric medium. This problem has been recently discussed using the Einstein-Laub force density f EÀL t; r ð Þ of mediumfield interaction [24,35,36] linked with the magnetic charge model of magnetic dipoles [37] …”

Section: Medium-field Interactionmentioning

confidence: 97%

Continuity equation for momentum of the electromagnetic wave in a lossy dispersive magnetoelectric medium

Vorobyev¹

2015

Journal of Modern Optics

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To cite this article: O.B. Vorobyev (2015): Continuity equation for momentum of the electromagnetic wave in a lossy dispersive magnetoelectric medium, Journal of Modern Optics, Continuity equation for the canonical pseudomomentum density in a magnetoelectric medium with dispersive losses is examined using consistent microscopic description of the electromagnetic wave energy. Accordingly, the canonical pseudomomentum is presented by the kinetic momentum of the electromagnetic field and pseudomomentum of oscillating bound charges, which is identified as a combination of the medium and electromagnetic pseudomomenta in contrast with previous quasi-static approaches. The ponderomotive and reaction forces are defined by the time derivatives of the medium and electromagnetic pseudomomenta, which depend on the "hidden momentum" in the case of a magnetoelectric medium. Properties of medium-field interaction are connected with translational invariance of the pseudomomentum in relation to a homogeneous lossless medium. Transport of the canonical pseudomomentum is explained by the kinetic momentum flux corresponding to the energy flux as well as translational invariance of the pseudomomentum, which are illustrated using the relativistic and effective mass densities of the electromagnetic wave. The optical pseudomomentum of the electromagnetic wave is defined in accordance with conducted analysis of energy and momentum transport while fallacies of approaches based on the Abraham, Minkowski, and total momenta are specified. Structure of the full momentum density of a closed medium-field system comprised of the densities of the optical pseudomomentum of the electromagnetic wave as well as the mechanical momentum and pseudomomentum of a host medium is expounded using description of medium-field interaction.

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“…MTMs have gained considerable attention [1][2][3][4][5][6][7][8][9][10] due to their unusual features and beneficial applications in numerous devices for different regimes of EM spectrum [11][12][13][14][15]. The concept was started by Veselago in 1968 [16] and continued with the studies of Pendry and his colleagues [17].…”

Section: Introductionmentioning

confidence: 99%

Dual-Band Polarization Independent Metamaterial Absorber Based on Omega Resoanator and Octa-Star Strip Configuration

Dinçer¹,

Karaaslan²,

Ünal³

et al. 2013

PIER

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Abstract-Dual-band metamaterial absorber (MA) with polarization independency based on omega (Ω) resonator with gap and octastar strip (OSS) configuration is presented both numerically and experimentally. The suggested MA has a simple configuration which introduces flexibility to adjust its metamaterial (MTM) properties and easily re-scale the structure for other frequencies. In addition, the dualband character of the absorber provides additional degree of freedom to control the absorption band(s). Two maxima in the absorption are experimentally obtained around 99% at 4.0 GHz for the first band and 79% at 5.6 GHz for the second band which are in good agreement with the numerical simulations (99% and 84%, respectively). Besides, numerical simulations validate that the MA could achieve very high absorption at wide angles of incidence for both transverse electric (T E) and transverse magnetic (T M ) waves. The proposed MA and its variations enable myriad potential applications in medical technologies, sensors, modulators, wireless communication, and so on.

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

Cited by 13 publications

References 30 publications

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Continuity equation for momentum of the electromagnetic wave in a lossy dispersive magnetoelectric medium

Dual-Band Polarization Independent Metamaterial Absorber Based on Omega Resoanator and Octa-Star Strip Configuration

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