Electromagnetic field and radiation for a charge moving along a helical trajectory inside a waveguide with dielectric filling

Kotanjyan, A. S.; Saharian, A. A.

doi:10.1088/1751-8113/40/34/018

Cited by 7 publications

(6 citation statements)

References 28 publications

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“…In order to evaluate the corresponding vector potential and the electromagnetic fields in the exterior medium, we have employed the Green function, previously investigated in [12]. These fields are presented in the form of the Fourier expansion (4) with the Fourier coefficients given by formulae ( 13), (15), (17). On the basis of these formulae, in section 3, we have investigated the spectralangular distribution of the radiation propagating in the exterior medium.…”

Section: Discussionmentioning

confidence: 99%

“…The Fourier coefficients for the fields determined by relations ( 15), (17) have poles corresponding to the zeros of the function α m appearing in the denominators of ( 10) and ( 14). It can be seen that this function has zeros only under the conditions λ 2 1 < 0 < λ 2 0 .…”

Section: Electromagnetic Fields In the Exterior Regionmentioning

confidence: 99%

“…In recent papers [15][16][17][18], we have investigated a more general problem of the radiation from a charged particle in a helical trajectory inside a dielectric cylinder. The corresponding problem for a charge moving in the vacuum has been widely discussed in the literature (see, for instance, [5,6] and references given therein) and the influence of a homogeneous dispersive medium is considered in [19].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Discussionmentioning

confidence: 99%

Section: Electromagnetic Fields In the Exterior Regionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…Except for works [2,3], to date, the focus has been on the cases of stationary helical motion of a particle in infinite rectangular [4][5][6] and circular waveguides [1,[7][8][9][10][11]. Meanwhile, there is an injection process in real undulators, i.e., the introduction of a bunch into an undulator, which is equivalent to the gradual appearance of bunch particles in an undulator.…”

Section: Introductionmentioning

confidence: 99%

Transition Effects of THz Helical Undulator Radiation in a Waveguide

Sargsyan¹

2021

Armenian Journal of Physics

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The radiation of a particle instantly injected into an infinite ideal cylindrical waveguide and implementing a helical motion is considered. Additionally, the problem of the radiation of a time-varying point charge moving stationary along a helical orbit in the same waveguide is also solved. Additionally, an explicit expression is obtained for the longitudinal component of the electric field of radiation with a wavefront moving together with the particle. The basic properties of radiation are determined: the conditions for its forward propagation are obtained, and its angular directivity is determined. A formula is given that describes radiation upon gradual introduction of a bunch into a waveguide (modeling the injection process) and during its subsequent propagation.

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“…In the present paper we give the results of the further investigation of the radiation features for a charge moving along a helix inside a cylindrical hole in a homogeneous medium. We also compare this results with the radiation properties in the case when the particle moves with helical trajectory inside a cylindrical waveguide with conducting walls [6,7].…”

Section: Introductionmentioning

confidence: 99%

On features of the radiation from an electron moving along a helix inside a cylindrical hole in a homogeneous dielectric

Arzumanyan¹,

Grigoryan²,

Khachatryan³

et al. 2008

Nuclear Instruments and Methods in Physics Research Section B:

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The radiation from a charge moving along a helical trajectory inside a cylindrical hole in homogeneous dielectric medium is investigated. Prompted by availability of materials with large dielectric permittivity ε and small absorption, we discuss the features of this type of radiation for media with ε ≫ 1. It is shown that there are high peaks in the angular distribution of radiation intensity at well-defined harmonics. The conditions are specified for the cavity-to-helix radii ratio, ρ 1 /ρ 0 , under which the angle-integrated radiation intensity on some harmonics exceeds that in the empty space. Though the amplification of radiation intensity increases with increasing ε, the corresponding "resonant" values of ρ 1 /ρ 0 ratio are practically independent of the dielectric permittivity of surrounding medium. It is shown that an analogous amplification of radiation takes place essentially for the same values of ρ 1 /ρ 0 also for the radiation in a cylindrical waveguide with conducting walls. An explanation of this phenomenon is given. PACS number(s): 41.60. Ap, 41.60.Bq

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Electromagnetic field and radiation for a charge moving along a helical trajectory inside a waveguide with dielectric filling

Cited by 7 publications

References 28 publications

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

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

Transition Effects of THz Helical Undulator Radiation in a Waveguide

On features of the radiation from an electron moving along a helix inside a cylindrical hole in a homogeneous dielectric

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