Comparative analysis of two formulations of geometrical optics. The effective dielectric tensor

Bornatici, M.; Kravtsov, Yu. A.

doi:10.1088/0741-3335/42/3/303

Cited by 20 publications

(20 citation statements)

References 18 publications

(31 reference statements)

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“…It should be noted that the operator presented above satisfies the needed symmetry condition [provided by the condition K ( r , s , ω) = K ( r , − s , −ω)]. As is well known (Kadomtsev 1965; Bornatici & Kravtsov 2000), it is this symmetrical form of permittivity tensor that is used for the calculation of the components of the permittivity tensor ɛ ij (ω, k , r ) Here, η = ( r + r ′ )/2 and ξ = r − r ′ . It is important that the above tensor (equation 43) only describes correctly wave–particle interaction in inhomogeneous media with slowly varying parameters (Bernstein & Friedland 1984).…”

Section: Tensor Derivationmentioning

confidence: 75%

On the collective curvature radiation

Istomin¹,

Philippov²,

Бескин³

2012

Monthly Notices of the Royal Astronomical Society

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The paper deals with the one possible mechanism of the pulsar radio emission, i.e., with the collective curvature radiation of the relativistic particle stream moving along the curved magnetospheric magnetic field lines. It is shown that the electromagnetic wave containing one cylindrical harmonic exp{is{\phi}} can not be radiated by the curvature radiation mechanism, that corresponds to radiation of a charged particle moving along curved magnetic field lines. The point is that the particle in vacuum radiates the triplex of harmonics (s, s \pm 1), so for the collective curvature radiation the wave polarization is very important and cannot be fixed a priori. For this reason the polarization of real unstable waves must be determined directly from the solution of wave equations for the media. Its electromagnetic properties should be described by the dielectric permittivity tensor \^{\epsilon}({\omega},k,r), that contains the information on the reaction on all possible types of radiation.Comment: 7 pages, 1 figure, submitted to MNRA

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Section: Tensor Derivationmentioning

confidence: 75%

On the collective curvature radiation

Istomin¹,

Philippov²,

Бескин³

2012

Monthly Notices of the Royal Astronomical Society

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“…They are not related to Joule dissipation and appear because of an additional phase shift between the induction vector and the electric field. This phase shift results from the finite time needed to set the polarization in the plasma with dispersion [26]. Such a phase shift in the plasma with space dispersion appears due to the medium inhomogeneity.…”

Section: Resultsmentioning

confidence: 99%

Thomson scattering in inhomogeneous plasmas: The Role of the Fluctuation-Dissipation Theorem

Belyi

2018

Sci Rep

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A self-consistent kinetic theory of Thomson scattering of an electromagnetic field by a non-uniform plasma is derived. We draw the readers’ attention to the inconsistency in recent results on the Thomson scattering in inhomogeneous plasma, which leads to violation of the Fluctuation-Dissipation Theorem. We show, that not only the imaginary part, but also the derivatives of the real part of the dielectric susceptibility determine the amplitude and the width of the Thomson scattering spectral lines. As a result of inhomogeneity, these properties become asymmetric with respect to inversion of the sign of the frequency. A method is proposed for measuring local gradients of the electron density with the aid of Thomson scattering.Arising from: P. Kozlowski, et al. Sci. Rep. 6, 24283 (2016); 10.1038/srep24283.

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“…Further, it is well known that for calculating the dielectric permittivity tensor, only the symmetrized form of ε ij (ω, k, r) must be used [93,94]:…”

Section: Calculation Of the Dielectric Permittivity Tensormentioning

confidence: 99%

Radio pulsars: the search for truth

Бескин¹,

Istomin²,

Philippov³

2013

Успехи физических наук

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It was as early as the 1980s that A V Gurevich and his group proposed a theory to explain the magnetosphere of radio pulsars and the mechanism by which they produce coherent radio emission. The theory has been sharply criticized and is currently rarely mentioned when discussing the observational properties of radio pulsars, even though all the criticisms were in their time disproven in a most thorough and detailed manner. Recent results show even more conclusively that the theory has no internal inconsistencies. New observational data also demonstrate the validity of the basic conclusions of the theory. Based on the latest results on the effects of wave propagation in the magnetosphere of a neuron star, we show that the developed theory does indeed allow quantitative predictions of the evolution of neutron stars and the properties of the observed radio emission.

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Comparative analysis of two formulations of geometrical optics. The effective dielectric tensor

Cited by 20 publications

References 18 publications

On the collective curvature radiation

On the collective curvature radiation

Thomson scattering in inhomogeneous plasmas: The Role of the Fluctuation-Dissipation Theorem

Radio pulsars: the search for truth

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