Casimir forces at the threshold of the Cherenkov effect

Maslovski, Stanislav I.; Silveirinha, Mário G.

doi:10.1103/physreva.84.062509

Cited by 10 publications

(13 citation statements)

References 23 publications

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“…Indeed, the wave vector of the TEM modes must be restricted to the first Brillouin zone when the actual granularity of the metamaterial is properly considered [20]. The truncation of k x and k y to the first Brillouin zone is also consistent with our assumption that the point source is less localized than the period of the wire medium.…”

Section: Pec Nanowiressupporting

confidence: 73%

“…0. This unphysical behavior is due to the fact that in the continuous limit (when À1 < k x ; k y < 1) the density of photonic states of the wire medium diverges [20,22], and hence the metamaterial has infinite radiation channels leading to a spatial singularity of the radiated field. This problem can be easily fixed by introducing the spatial cut-off k max ¼ p=a such that the integration range in k x and k y is truncated to T…”

Section: Pec Nanowiresmentioning

confidence: 99%

“…Nanowire materials have attracted considerable attention due to their peculiar electromagnetic properties, such as the strongly spatially dispersive (nonlocal) response [4][5][6][7][8][9] and an anomalously high density of photonic states [10][11][12][13][14]. These unusual properties are useful in many applications from microwave up to optical frequencies [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Super-collimation of the radiation by a point source in a uniaxial wire medium

Morgado

Silveirinha

2015

EPJ Applied Metamaterials

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-We investigate the radiation properties of a short horizontal dipole embedded in a uniaxial wire medium. It is shown that the uniaxial wire medium enables a super-collimation of the dipole radiation such that the radiation pattern has a singularity and the radiated fields are non-diffractive in the broadside direction. We derive a closed analytical formula for the power radiated by the dipole in the wire medium. Our theory demonstrates that as a consequence of the ultrahigh density of photonic states of the nanowire array, the power radiated by the dipole is strongly enhanced as compared to the power that would be emitted in the dielectric host with no nanowires.

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Section: Pec Nanowiressupporting

confidence: 73%

Section: Pec Nanowiresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Super-collimation of the radiation by a point source in a uniaxial wire medium

Morgado

Silveirinha

2015

EPJ Applied Metamaterials

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“…31 Such instabilities in turn lead to generation of radiation, which in the end gives rise to quantum friction (for the behavior of the normal Casimir forces at the threshold of the Cherenkov effect see Ref. 32). A widely adopted explanation of the quantum friction phenomenon pictures it as a result of asymmetry in reflections of photons by moving dielectric slabs.…”

Section: Introductionmentioning

confidence: 99%

Quantum friction on monoatomic layers and its classical analog

Maslovski

Silveirinha

2013

Phys. Rev. B

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We consider the effect of quantum friction at zero absolute temperature resulting from polaritonic interactions in closely positioned two-dimensional arrays of polarizable atoms (e.g., graphene sheets) or thin dielectric sheets modeled as such arrays. The arrays move one with respect to another with a nonrelativistic velocity v c. We confirm that quantum friction is inevitably related to material dispersion, and that such friction vanishes in nondispersive media. In addition, we consider a classical analog of the quantum friction which allows us to establish a link between the phenomena of quantum friction and classical parametric generation. In particular, we demonstrate how the quasiparticle generation rate typically obtained from the quantum Fermi golden rule can be calculated classically.

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“…10 We can refer to some applications of this quantization scheme, for example, the calculation of the decay rate of an initially excited two-level atom in the presence of absorbing media, [13][14][15][16][17][18][19][20][21][22][23][24] the calculation of the Casimir forces on the dispersive and absorbing media 9, and the Cherenkov radiation of a point charge particle in the presence of absorbing media. 52,53 There is a second fully canonical nonrelativistic quantization approach of the electromagnetic field in the presence of absorbing anisotropic magneto-dielectric media with spatial-temporal dispersion. 54 In this quantization method the magnetodielectric medium is modeled by two independent continuum collections of spacetime dependent three-dimensional harmonic oscillators.…”

Section: Introductionmentioning

confidence: 99%

Canonical relativistic quantization of electromagnetic field in the presence of an anisotropic conductor magneto-dielectric medium

Amooshahi

2017

Int. J. Mod. Phys. A

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A canonical relativistic quantization of the electromagnetic field is introduced in the presence of an anisotropic conductor magneto-dielectric medium in a standard way in the Gupta-Bleuler framework. The medium is modeled by a continuum collection of the vector fields and a continuum collection of the antisymmetric tensor fields of the second rank in Minkowski space-time. The collection of vector fields describes the conductivity property of the medium and the collection of antisymmetric tensor fields describes the polarization and the magnetization properties of the medium. The conservation law of the total electric charges, induced in the anisotropic conductor magneto-dielectric medium, is deduced using the antisymmetry conditions imposed on the coupling tensors that couple the electromagnetic field to the medium. Two relativistic covariant constitutive relations for the anisotropic conductor magneto-dielectric medium are obtained. The constitutive relations relate the antisymmetric electric-magnetic polarization tensor field of the medium and the free electric current density four-vector, induced in the medium, to the strength tensor of the electromagnetic field, separately. It is shown that for a homogeneous anisotropic medium the susceptibility tensor of the medium satisfies the Kramers-Kronig relations. Also it is shown that for a homogeneous anisotropic medium the real and imaginary parts of the conductivity tensor of the medium satisfy the Kramers-Kronig relations and a relation other than the Kramers-Kronig relations.

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Casimir forces at the threshold of the Cherenkov effect

Cited by 10 publications

References 23 publications

Super-collimation of the radiation by a point source in a uniaxial wire medium

Super-collimation of the radiation by a point source in a uniaxial wire medium

Quantum friction on monoatomic layers and its classical analog

Canonical relativistic quantization of electromagnetic field in the presence of an anisotropic conductor magneto-dielectric medium

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