### Abstract

Polarization radiation generated when a point charge moves uniformly along a straight line in vac- uum in the vicinity of media with a finite permittivity e(.) = e′ + ie′′ and sharp boundaries is considered. A method is developed in which polarization radiation is represented as the field of the current induced in the substance by the field of the moving charge. The solution to the problem of radiation induced when a charge moves along the axis of a cylindrical vacuum channel in a thin screen with a finite radius and a finite permit- tivity is obtained. Depending on the parameters of the problem, this solution describes various types of radi- ation (Cherenkov, transition, and diffraction radiation). In particular, when the channel radius tends to zero and the outer radius of the screen tends to infinity, the expression derived for the emitted energy coincides with the known solution for transition radiation in a plate. In another particular case of ideal conductivity (ε′′ → ∞), the relevant formula coincides with the known results for diffraction radiation from a circular aperture in an infinitely thin screen. The solution is obtained to the problem of radiation generated when the charge flies near a thin rectangular screen with a finite permittivity. This solution describes the diffraction and Cherenkov mechanisms of radiation and takes into account possible multiple re-reflections of radiation in the screen. The solution to the problem of radiation generated when a particles flies near a thin grating con- sisting of a finite number of strips having a rectangular cross section and a finite permittivity and separated by vacuum gaps (Smith-Purcell radiation) is also obtained. In the special case of ideal conductivity, the expres- sion derived for the emitted energy coincides with the known result in the model of surface currents.

Original language | English |
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Pages (from-to) | 27-45 |

Number of pages | 19 |

Journal | Journal of Experimental and Theoretical Physics |

Volume | 113 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 2011 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**On the theory of polarization radiation in media with sharp boundaries.** / Karlovets, D. V.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - On the theory of polarization radiation in media with sharp boundaries

AU - Karlovets, D. V.

PY - 2011/7

Y1 - 2011/7

N2 - Polarization radiation generated when a point charge moves uniformly along a straight line in vac- uum in the vicinity of media with a finite permittivity e(.) = e′ + ie′′ and sharp boundaries is considered. A method is developed in which polarization radiation is represented as the field of the current induced in the substance by the field of the moving charge. The solution to the problem of radiation induced when a charge moves along the axis of a cylindrical vacuum channel in a thin screen with a finite radius and a finite permit- tivity is obtained. Depending on the parameters of the problem, this solution describes various types of radi- ation (Cherenkov, transition, and diffraction radiation). In particular, when the channel radius tends to zero and the outer radius of the screen tends to infinity, the expression derived for the emitted energy coincides with the known solution for transition radiation in a plate. In another particular case of ideal conductivity (ε′′ → ∞), the relevant formula coincides with the known results for diffraction radiation from a circular aperture in an infinitely thin screen. The solution is obtained to the problem of radiation generated when the charge flies near a thin rectangular screen with a finite permittivity. This solution describes the diffraction and Cherenkov mechanisms of radiation and takes into account possible multiple re-reflections of radiation in the screen. The solution to the problem of radiation generated when a particles flies near a thin grating con- sisting of a finite number of strips having a rectangular cross section and a finite permittivity and separated by vacuum gaps (Smith-Purcell radiation) is also obtained. In the special case of ideal conductivity, the expres- sion derived for the emitted energy coincides with the known result in the model of surface currents.

AB - Polarization radiation generated when a point charge moves uniformly along a straight line in vac- uum in the vicinity of media with a finite permittivity e(.) = e′ + ie′′ and sharp boundaries is considered. A method is developed in which polarization radiation is represented as the field of the current induced in the substance by the field of the moving charge. The solution to the problem of radiation induced when a charge moves along the axis of a cylindrical vacuum channel in a thin screen with a finite radius and a finite permit- tivity is obtained. Depending on the parameters of the problem, this solution describes various types of radi- ation (Cherenkov, transition, and diffraction radiation). In particular, when the channel radius tends to zero and the outer radius of the screen tends to infinity, the expression derived for the emitted energy coincides with the known solution for transition radiation in a plate. In another particular case of ideal conductivity (ε′′ → ∞), the relevant formula coincides with the known results for diffraction radiation from a circular aperture in an infinitely thin screen. The solution is obtained to the problem of radiation generated when the charge flies near a thin rectangular screen with a finite permittivity. This solution describes the diffraction and Cherenkov mechanisms of radiation and takes into account possible multiple re-reflections of radiation in the screen. The solution to the problem of radiation generated when a particles flies near a thin grating con- sisting of a finite number of strips having a rectangular cross section and a finite permittivity and separated by vacuum gaps (Smith-Purcell radiation) is also obtained. In the special case of ideal conductivity, the expres- sion derived for the emitted energy coincides with the known result in the model of surface currents.

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U2 - 10.1134/S1063776111050116

DO - 10.1134/S1063776111050116

M3 - Article

VL - 113

SP - 27

EP - 45

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 1

ER -