Radiation of a charge moving along the boundary of dielectric prism

Tyukhtin, Andrey V.; Vorobev, Viktor V.; Galyamin, Sergey N.; Belonogaya, Ekaterina S.

doi:10.1103/physrevaccelbeams.22.012802

Cited by 11 publications

(15 citation statements)

References 18 publications

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“…The aperture integrals (Stratton-Chu formulas) for Fourier transform of the electric field can be written in the following general form [15][16][17][18][19]:…”

Section: Aperture Methodsmentioning

confidence: 99%

“…However, the mentioned relation between λ and target size gives us an obvious small parameter allowing the development of approximate (asymptotic) methods for the analysis of radiation. Recently we have offered and successfully verified two such methods called the "ray optics method" [11,12] and "aperture method" [13][14][15][16][17][18][19]. They can be divided into three steps.…”

Section: Introductionmentioning

confidence: 99%

“…The aperture method is more general [13][14][15][16][17][18][19] than the ray optics. It is valid for observation points with arbitrary wave parameter W , including the Fraunhofer (far-field) area and neighborhoods of focuses and caustics.…”

Section: Introductionmentioning

confidence: 99%

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Radiation of charge moving through a dielectric spherical target: ray optics and aperture methods

Tyukhtin,

Belonogaya,

Galyamin

et al. 2020

Preprint

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Radiation of charged particles moving in the presence of dielectric targets is of significant interest for various applications in the accelerator and beam physics. The size of these targets is typically much larger than the wavelengths under consideration. This fact gives us an obvious small parameter of the problem and allows developing approximate methods for analysis. We develop two methods, which are called the "ray optics method" and the "aperture method". In the present paper, we apply these methods to analysis of Cherenkov radiation from a charge moving through a vacuum channel in a solid dielectric sphere. We present the main analytical results and describe the physical effects. In particular, it is shown that the radiation field possesses an expressed maximum at a certain distance from the sphere at the Cherenkov angle. Additionally, we perform simulations in COMSOL Multiphysics and show a good agreement between numerical and analytical results.

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“…The aperture integrals (Stratton-Chu formulas) for Fourier transform of the electric field can be written in the following general form [15][16][17][18][19]:…”

Section: Aperture Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Radiation of charge moving through a dielectric spherical target: ray optics and aperture methods

Tyukhtin,

Belonogaya,

Galyamin

et al. 2020

Preprint

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“…Both these methods are valid for objects which are much larger than the wavelengths under consideration. The basis of the methods and solutions of different problems with use of them are describes in series of our papers [6][7][8][9][10][11][12][13][14][15][16][17][18]. We do not repeat here the main steps of the methods.…”

Section: Introductionmentioning

confidence: 99%

Cherenkov Radiation from a Hollow Conical Targets: Off-Axis Charge Motion

Tyukhtin,

Galyamin,

Vorobev

2021

Preprint

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Cherenkov radiation (CR) generated by a charge moving through a hollow conical target made of dielectric material is analyzed. We consider two cases: the charge moves from the base of the cone to its top ("straight" cone) or from the top to the base ("inverted" cone). Unlike previous works, a nonzero shift of the charge trajectory from the symmetry axis is taken into account which leads to generation of nonsymmetrical radiation. The most interesting effect is the phenomenon of "Cherenkov spotlight" which has been reported earlier for axially symmetrical problems. This effect allows essential enhancement of the CR intensity in the far-field region by proper selection of the target's parameters and charge velocity. Here we describe the influence of charge shift on CR far-field patterns paying the main attention to the "Cherenkov spotlight" regime. Influence of variation of the charge speed on this phenomenon is also investigated.

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“…Starting from the paper [18], we are developing two combined approaches which take into account both the internal radiator's surface (which is mainly interacting with the charged particle bunch) and the out radiator's surface (through which the CR goes into free space) [18][19][20][21][22][23][24][25]. Moreover, one of these approaches (the "aperture approach") allows correct calculation of the CR field in the far-field (Fraunhofer) zone and near caustics formed by convergent rays where ray optics fails [20][21][22][23][24][25]. It should be underlined that though some distinct parts of these approaches were discussed and utilized earlier, their proper combinations were not collected into convenient analytical methods.…”

Section: Introductionmentioning

confidence: 99%

Cherenkov Radiation of a Charge Flying through the "Inverted" Conical Target

Tyukhtin,

Galyamin,

Vorobev

et al. 2020

Preprint

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Radiation generated by a charge moving through a vacuum channel in a dielectric cone is analyzed. It is assumed that the charge moves through the cone from the apex side to the base side (the case of "inverted" cone). The cone size is supposed to be much larger than the wavelengths under consideration. We calculate the wave field outside the target using the "aperture method" developed in our previous papers. Contrary to the problems considered earlier, here the wave which incidences directly on the aperture is not the main wave, while the wave once reflected from the lateral surface is much more important. The general formulas for the radiation field are obtained, and the particular cases of the ray optics area and the Fraunhofer area are analyzed. Significant physical effects including the phenomenon of "Cherenkov spotlight" are discussed. In particular it is shown that this phenomenon allows reaching essential enhancement of the radiation intensity in the far-field region at certain selection of the problem parameters. Owing to the "inverted" cone geometry, this effect can be realized for arbitrary charge velocity, including the ultra relativistic case, by proper selection of the cone material and the apex angle. Typical radiation patterns in the far-field area are demonstrated.

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Radiation of a charge moving along the boundary of dielectric prism

Cited by 11 publications

References 18 publications

Radiation of charge moving through a dielectric spherical target: ray optics and aperture methods

Radiation of charge moving through a dielectric spherical target: ray optics and aperture methods

Cherenkov Radiation from a Hollow Conical Targets: Off-Axis Charge Motion

Cherenkov Radiation of a Charge Flying through the "Inverted" Conical Target

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