Synchrotron Radiation from a Charge on Eigenmodes of a Dielectric Cylinder

Saharian, A. A.; Kotanjyan, A. S.; Kotanjyan, V. Kh.

doi:10.3103/s1068337219020014

Cited by 6 publications

(5 citation statements)

References 8 publications

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“…A similar (but weaker than in the previous case) phenomenon occurs in a cylindrically symmetric medium [13][14][15][16][17][18][19]. For example, the radiation emitted from (i) a longitudinal charged oscillator moving with a constant drift velocity along a cylindrical axis and (ii) a charged particle moving along a circle around a dielectric cylinder or along a helical orbit inside a cylinder have also been investigated [13][14][15][16][17][18][19]. High narrow peaks have been theoretically revealed in the spectral-angular distribution for the number of radiated quanta if the Cherenkov condition is satisfied for permittivity of a cylinder and the particle speed.…”

Section: Introductionsupporting

confidence: 61%

“…The radiated energy in the vicinity of these peaks exceeded the corresponding value by several orders of magnitude associated with a homogeneous and unbounded medium. A similar (but weaker than in the previous case) phenomenon occurs in a cylindrically symmetric medium [13][14][15][16][17][18][19]. For example, the radiation emitted from (i) a longitudinal charged oscillator moving with a constant drift velocity along a cylindrical axis and (ii) a charged particle moving along a circle around a dielectric cylinder or along a helical orbit inside a cylinder have also been investigated [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 96%

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Peculiarities of Electromagnetic Oscillations Generated by a Charged Particle Crossing the Planar Boundary Between a Conducting Medium and a Vacuum

Grigoryan¹,

Mkrtchyan²,

Khachatryan³

et al. 2018

REFFIT

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The peculiarities of electromagnetic oscillations generated by a charged particle moving rectilinearly and uniformly have been studied when the particle crosses a planar boundary between a conducting medium and a vacuum perpendicular to that boundary. This study is based on the relevant exact analytical solutions of Maxwell equations, and the generalized Drude–Lorentz–Sommerfeld formula has been used for the dielectric function of conducting medium in the numerical calculations. The results of our investigation indicated that a charged particle may generate large amplitude oscillations in an electric field at frequencies wherein the dispersion phenomenon is essential and the real part of the conducting material’s dielectric function is negative. The results further revealed that these oscillations are localized at the planar boundary of the conducting medium and a vacuum. The possibility of using this phenomenon to generate electromagnetic radiation at large distances from the surface of a conducting medium of finite size is also discussed.

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Section: Introductionsupporting

confidence: 61%

Section: Introductionmentioning

confidence: 96%

Peculiarities of Electromagnetic Oscillations Generated by a Charged Particle Crossing the Planar Boundary Between a Conducting Medium and a Vacuum

Grigoryan¹,

Mkrtchyan²,

Khachatryan³

et al. 2018

REFFIT

View full text Add to dashboard Cite

show abstract

“…A similar phenomenon (less weak) takes place in the case of cylindrically symmetric medium [21][22][23][24][25][26][27]. For example, the radiation emitted (i) from a longitudinal charged oscillator moving with constant drift velocity along the cylinder axis, and (ii) from a charged particle moving along a circle around a dielectric cylinder or along a helical orbit inside the cylinder are investigated in [21][22][23], [24] and [25][26][27] (see also references therein) respectively (the latter type of motion is used in helical undulators for generating electromagnetic radiation in a narrow spectral interval). It is shown that high narrow peaks are present in the spectral-angular distribution for a number of radiated quanta if the Cherenkov condition is satisfied for the permittivity of a cylinder and the particle speed.…”

Section: Introductionsupporting

confidence: 57%

Peculiarities of electromagnetic field oscillations of a charged particle rotating about a conductive ball

Mkrtchyan¹,

Grigoryan²,

Khachatryan³

et al. 2018

REFFIT

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Abstract. The paper investigates some characteristic features of the electromagnetic field of a relativistic charged particle that uniformly rotates about a conductive ball in its equatorial plane. It is assumed that the braking of the particle due to radiation is compensated by an external influence (e.g. the electric force) that compels the particle to turn uniformly in a circle. The magnetic permittivity of the ball is assumed to be one. The work is based on the corresponding exact analytic solutions of Maxwell’s equations. The generalized Drude-Lorentz-Sommerfeld formula for the dielectric function of the conductive ball is used in numerical calculations. It is shown that localized oscillations of a high-amplitude electromagnetic field can be generated at a given harmonic inside the ball at a certain (resonant) particle rotation frequency at a small distance from the surface of the ball. Herewith, at large distances from the trajectory of the particle, these localized oscillations are accompanied by intense radiation at the same harmonic, which is many times more intense than the analogous radiation in the case when the ball is absent. The possibilities of using this phenomenon to develop sources of quasi-monochromatic electromagnetic radiation in the range from giga- to terra hertz frequencies are discussed.

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“…In the problem under consideration the Fourier components G i3,n (ω, k z , r, r ′ ) are required, evaluated for r ′ = r 0 . The corresponding expressions are given in [40] (for applications of the Green tensor from [40] in investigations of the Cherenkov and synchrotron radiations from a charge rotating around/inside a dielectric cylinder see [41]- [45] and references therein). They are presented in the form…”

Section: Problem Setup and The Contribution Of Surface Polaritons To ...mentioning

confidence: 99%

Surface polariton excitation and energy losses by a charged particle in cylindrical waveguides

Saharian¹,

Grigoryan²,

Kotanjyan³

et al. 2023

Preprint

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We investigate the emission of surface polaritons (SPs) by a charged particle moving inside a dielectric cylinder parallel to its axis. It is assumed that the cylinder is immersed into a homogeneous medium with negative dielectric permittivity in the spectral range under consideration (active medium). The SP modes are present for positive dielectric function of the cylinder material (passive medium). In order to find the electromagnetic fields corresponding to SPs, the respective contributions to the components of the Green tensor are separated. The expressions for scalar and vector potentials and for electromagnetic field strengths are provided inside and outside the cylinder. Those fields are expressed in terms of the SP eigenmodes of the waveguide and we give detailed analysis for their properties. The SP energy fluxes through the plane perpendicular to the cylinder axis are evaluated in the interior and exterior media. The energy flux is directed towards the charge motion inside the cylinder and towards the opposite direction in the exterior region. The relativistic effects may essentially increase the radiated energy. Important features of relativistic effects include the possibility of essential increase of the radiated energy, the narrowing the confinement region of the SP fields near the cylinder surface in the exterior region, enlarging the frequency range for radiated SPs, and the decrease of the cutoff factor for radiation at small wavelengths compared with the waveguide radius. The general results are specified for the Drude dispersion in the exterior medium. By using the Green tensor we also evaluate the total energy losses of the charged particle for general case of the interior and exterior dielectric functions. The corresponding results are compared with those previously discussed in the literature. The numerical data are presented in terms of scale invariant quantities that allows to clarify the features of the SP radiation for different values of the waveguide radius.

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Synchrotron Radiation from a Charge on Eigenmodes of a Dielectric Cylinder

Cited by 6 publications

References 8 publications

Peculiarities of Electromagnetic Oscillations Generated by a Charged Particle Crossing the Planar Boundary Between a Conducting Medium and a Vacuum

Peculiarities of Electromagnetic Oscillations Generated by a Charged Particle Crossing the Planar Boundary Between a Conducting Medium and a Vacuum

Peculiarities of electromagnetic field oscillations of a charged particle rotating about a conductive ball

Surface polariton excitation and energy losses by a charged particle in cylindrical waveguides

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