Electrodynamics of Media With Spatial Dispersion

Rukhadze, A. A.; Silin, V. P.

doi:10.1070/pu1961v004n03abeh003357

Cited by 70 publications

(58 citation statements)

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“…In this section we briefly recall the form of the classical macroscopic Maxwell equations when spatial dispersion is included. A detailed account can be found in [1,9,10]. The electromagnetic response of all real materials is nonlocal in space as well as in time, and the D and H fields must take the form…”

Section: Spatial Dispersion In Macroscopic Electromagnetismmentioning

confidence: 99%

“…The link between such divergences encountered in macroscopic quantum electrodynamics (QED) and the failure to account for spatial dispersion has been previously alluded to (e.g. [8,9]), but to the authors' knowledge there has been no attempt to incorporate spatial dispersion into macroscopic QED from the outset to eliminate these divergences. Perhaps part of the reason for this is that one requires a knowledge of the entire wavevector dependence of the permittivity of material samples, and such a characterization is currently unavailable.…”

Section: Introductionmentioning

confidence: 99%

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Canonical quantization of electromagnetism in spatially dispersive media

Horsley

Philbin

2014

New J. Phys.

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We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the introduction of nonlocal response in the medium automatically regulates some previously divergent results, and we calculate a finite value for the intensity of the electromagnetic field at a fixed frequency within a homogeneous medium. To conclude we discuss the potential importance of spatial dispersion in taming the divergences that arise in calculations of Casimir-type effects.

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Section: Spatial Dispersion In Macroscopic Electromagnetismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Canonical quantization of electromagnetism in spatially dispersive media

Horsley

Philbin

2014

New J. Phys.

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“…r, tЈ͒ E j ͑r, tЈ͒ (10) Taking into account the first-order terms with respect to from (6) and (7), we have…”

Section: (7)mentioning

confidence: 99%

Fluctuation–dissipation–dispersion relations for a time and space nonlocal plasma

Belyi

2004

Int J of Quantum Chemistry

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ABSTRACT:Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space nonlocal fluctuations in the collisional plasma is constructed. In local equilibrium, a generalized version of the Callen-Welton theorem is derived. It is shown that not only the dissipation, but also the time and space derivatives of the dispersion, determine the amplitude and the width of the spectrum lines of the electrostatic field fluctuations, as well as the form factor. There appear to be significant differences with respect to the nonuniform plasma. In the kinetic regime, the form factor is more sensible to space gradient than the spectral function of the electrostatic field fluctuations. As a result of inhomogeneity, these proprieties became asymmetric with respect to the inversion of the frequency sign. The differences in amplitude of peaks could become a new tool with which to diagnose slow time and space variations in the plasma.

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“…Let + co In non-magnetic materials which will be considered exclusively in the sequel the remarkable symmetry relation aik(X, X', CO)= ak~(X', X, CO) (2.6) has been established from the fluctuation-dissipation theorem and the principle of microscopic reversibility [2,6].…”

Section: ~0mentioning

confidence: 99%