Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium

Judge, Alexander C.; Steel, M. J.; Sipe, J. E.; Sterke, C. Martijn de

doi:10.1103/physreva.87.033824

Cited by 22 publications

(25 citation statements)

References 43 publications

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“…These arise naturally from the dispersion relations in a Hopfield-type model in which the electromagnetic field is coupled to harmonic polarization and magnetization fields associated with the host medium [19]. Including absorption losses presents no fundamental difficulties [12][13][14][15][16][17] but adds significantly to the technical nature of the analysis; a feature that might obscure the simplicity of the underlying physics.…”

Section: Classical Theorymentioning

confidence: 99%

“…We consider magneto-dielectric materials in which both the electric permittivity ε and the magnetic permeability μ are isotropic functions of the angular frequency ω. The quantum theory of the electromagnetic field for such media is now well-developed, with analyses in the literature based on Green's functions [12,13] and also on Hopfield-like models based on coupling to a harmonic polarization and magnetization field [14][15][16][17]. The approach we shall adopt is to work with the elementary excitations within the medium, which are polarition coupled-modes of the electromagnetic field with the electric and magnetic resonances.…”

Section: Introductionmentioning

confidence: 99%

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Theory of radiation pressure on magneto–dielectric materials

Barnett

Loudon

2015

New J. Phys.

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We present a classical linear response theory for a magneto-dielectric material and determine the polariton dispersion relations. The electromagnetic field fluctuation spectra are obtained and polariton sum rules for their optical parameters are presented. The electromagnetic field for systems with multiple polariton branches is quantized in three dimensions and field operators are converted to 1-dimensional forms appropriate for parallel light beams. We show that the field-operator commutation relations agree with previous calculations that ignored polariton effects. The Abraham (kinetic) and Minkowski (canonical) momentum operators are introduced and their corresponding single-photon momenta are identified. The commutation relations of these and of their angular analogues support the identification, in particular, of the Minkowski momentum with the canonical momentum of the light. We exploit the Heaviside-Larmor symmetry of Maxwell's equations to obtain, very directly, the Einsetin-Laub force density for action on a magneto-dielectric. The surface and bulk contributions to the radiation pressure are calculated for the passage of an optical pulse into a semi-infinite sample. c J rr D r Br J rr Er Hr dˆ( )ˆ( )

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Section: Classical Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of radiation pressure on magneto–dielectric materials

Barnett

Loudon

2015

New J. Phys.

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“…In Refs. [45][46][47][49][50][51] general proofs were given for the formal equivalence between the Huttner Barnett model and the Langevin noise approach.…”

Section: Introductionmentioning

confidence: 99%

Dual-Lagrangian description adapted to quantum optics in dispersive and dissipative dielectric media

Drezet

2016

Phys. Rev. A

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We develop a dual description of quantum optics adapted to dielectric systems without magnetic property. Our formalism, which is shown to be equivalent to the standard one within some dipolar approximations discussed in the article, is applied to the description of polaritons in dielectric media. We show that the dual formalism leads to the Huttner-Barnett equations [B. Huttner, S. M. Barnett, Phys. Rev. A 46, 4306 (1992)] for QED in dielectric systems. More generally, we discuss the role of electromagnetic duality in the quantization procedure for optical systems and derive the structure of the dynamical laws in the various representations.

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“…By combining Maxwell's equations with the ME dynamical‐response parameters, different ME electrodynamics problems are formulated. There are, for example, studies of optical effects in ME materials, microwave ME phenomena of skyrmions, ME optical waveguide modes, ME polaritons, and canonical quantization of macroscopic electrodynamics in an ME medium …”

Section: Introductionmentioning

confidence: 99%

Electrodynamics of Magnetoelectric Media and Magnetoelectric Fields

Kamenetskii

2020

Annalen der Physik

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The relationship between magnetoelectricity and electromagnetism is a subject of a strong interest and numerous discussions in microwave and optical wave physics and material sciences. The definition of the energy and momentum of the electromagnetic (EM) field in a magnetoelectric (ME) medium is not a trivial problem. The question of whether electromagnetism and magnetoelectricity can coexist without an extension of Maxwell's theory arises when the effects of EM energy propagation are studied and the group velocity of the waves in an ME medium is considered. The energy balance equation reveals unusual topological structure of fields in ME materials. Together with certain constraints on the constitutive parameters of a medium, definite constraints on the local field structure should be imposed. Analyzing the EM phenomena inside an ME material, the question “what kind of the near fields arising from a sample of such a material can be measured?” should be answered. The visualization of the ME states requires an experimental technique that is based on an effective coupling to the violation of spatial as well as temporal inversion symmetry. To observe the ME energy in a subwavelength region, it is necessary to assume the existence of first‐principle near fields—the ME fields. These are non‐Maxwellian near fields with specific properties of violation of spatial and temporal inversion symmetry. A particular interest to the ME fields arises in studies of metamaterials with “artificial‐atoms” ME elements.

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Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magnetoelectric medium

Cited by 22 publications

References 43 publications

Theory of radiation pressure on magneto–dielectric materials

Theory of radiation pressure on magneto–dielectric materials

Dual-Lagrangian description adapted to quantum optics in dispersive and dissipative dielectric media

Electrodynamics of Magnetoelectric Media and Magnetoelectric Fields

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