Electromagnetic field generated by a charge moving along a helical orbit inside a dielectric cylinder

Saharian, A. A.; Kotanjyan, A. S.; Grigoryan, M.L.

doi:10.1088/1751-8113/40/6/016

Cited by 22 publications

(28 citation statements)

References 10 publications

(12 reference statements)

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“…At these peaks the radiated energy exceeds the corresponding quantity in the case of a homogeneous medium by several orders of magnitude. Similar features for the radiation generated by a charge moving along a helical orbit have been discussed in [11]- [14]. The case for an electron rotating around/inside a dielectric ball has been considered in [15]- [18].…”

Section: Introductionmentioning

confidence: 87%

Synchrotron Radiation Inside a Dielectric Cylinder

Saharian

Kotanjyan

2012

Int. J. Mod. Phys. B

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We investigate the electromagnetic fields generated by a charged particle rotating inside a dielectric cylinder immersed into a homogeneous medium. The expressions for the bound modes of the radiation field are derived in both interior and exterior regions. The radiation intensity for the modes propagating inside the cylinder is evaluated by using two different ways: by evaluating the work done by the radiation field on the charge and by evaluating the energy flux through the cross-section of the cylinder. The relation between these two quantities is discussed. We investigate the relative contributions of the bound modes and the modes propagating at large distances from the cylinder to the total radiation intensity. Numerical examples are given for a dielectric cylinder in the vacuum. It is shown that the presence of the cylinder can lead to the considerable increase of the synchrotron radiation intensity.

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Section: Introductionmentioning

confidence: 87%

Synchrotron Radiation Inside a Dielectric Cylinder

Saharian

Kotanjyan

2012

Int. J. Mod. Phys. B

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“…where the prime over the sum means that the term with m = 0 should be taken with the weight 1/2 and the coefficients D (p) m are defined by formulae (16). First let us consider the special case ω 0 = 0 for a fixed ρ 0 , which corresponds to a charge moving with constant velocity v on a straight line ρ = ρ 0 parallel to the cylinder axis.…”

Section: Radiation Intensitymentioning

confidence: 99%

Synchrotron radiation from a charge moving along a helix around a dielectric cylinder

Saharian¹,

Kotanjyan²

2009

J. Phys. A: Math. Theor.

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In this paper we investigate the radiation emitted by a charged particle moving along a helical orbit around a dielectric cylinder immersed into a homogeneous medium. Formulae are derived for the electromagnetic potentials, electric and magnetic fields, and for the spectralangular distribution of the radiation in the exterior medium. It is shown that under the Cherenkov condition for dielectric permittivity of the cylinder and the velocity of the particle image on the cylinder surface, strong narrow peaks appear in the angular distribution for the number of quanta radiated on a given harmonic. At these peaks the radiated energy exceeds the corresponding quantity for a homogeneous medium by several dozens of times. Simple analytic estimates are given for the heights and widths of these peaks. The results of numerical calculations for the angular distribution of the radiated quanta are presented and they are compared with the corresponding quantities for the radiation from a charge moving along a helical trajectory inside a dielectric cylinder. PACS number(s): 41.60.Ap, 41.60.Bq

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“…For r q of the order of 1 mm and for the harmonics of the order 10, the radiation corresponds to the THz frequency range (for configurations of external fields generating that type of circular motion for electron see, for example, Ref. [30]). Let us consider the behavior of the radiation intensity in some asymptotic regions of the parameters.…”

Section: Spectral and Angular Distribution Of The Radiation Intensitymentioning

confidence: 99%

Synchrotron radiation from a charge circulating around a cylinder with negative permittivity

Saharian

Kotanjyan

Grigoryan

et al. 2020

Int. J. Mod. Phys. B

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We investigate the radiation from a charged particle rotating around a dielectric cylinder with a negative real part of dielectric permittivity. For the general case of frequency dispersion in dielectric permittivity, expressions are derived for the electric and magnetic fields and for the angular density of the radiation intensity on a given harmonic. Compared with the case of a cylinder with positive real part of the permittivity, new interesting features arise in the nonrelativistic limit and for the radiation at small angles with respect to the cylinder axis. Another feature is the appearance of sharp narrow peaks in the angular density of the radiation intensity for large harmonics. We analytically estimate the height, width and the location of these peaks. The influence of the imaginary part of dielectric permittivity on the characteristics of the peaks is discussed. The analytical results are illustrated by numerical examples. We show that the radiation intensity on a given harmonic, integrated over the angles, can be essentially amplified by the presence of the cylinder. *

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Electromagnetic field generated by a charge moving along a helical orbit inside a dielectric cylinder

Cited by 22 publications

References 10 publications

Synchrotron Radiation Inside a Dielectric Cylinder

Synchrotron Radiation Inside a Dielectric Cylinder

Synchrotron radiation from a charge moving along a helix around a dielectric cylinder

Synchrotron radiation from a charge circulating around a cylinder with negative permittivity

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