Calculations of threshold characteristics of vavilov-cherenkov radiation emitted by ultrarelativistic particles in a gaseous cherenkov counter

Zrelov, V.P.; Klimanova, M.; Lupiltsev, V.P.; Růžička, Jan

doi:10.1016/0167-5087(83)91301-7

Cited by 19 publications

(9 citation statements)

References 1 publication

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“…In the vicinity of the Cherenkov angle cos Θ = 1/(β √ ε) the terms in the brackets associated with the transition mechanism of radiation become equal to unity. In this case, formula (15) completely coincides with the analogous expression obtained in the theory of Cherenkov radiation in a finite-thickness layer (see, for example, [18,19]). For a layer with a large thickness, the interference term is transformed into the delta-function:…”

Section: Radiation Inside a Screen With A Finite Permittivitysupporting

confidence: 76%

“…Physically, such an orientation means that a thin conducting screen at large distances can be treated as a double layer. Taking into account that vector E R is perpendicular to e we can find the modulus of the radiation field in a vacuum from formula (18):…”

Section: Energy Emitted Into Vacuummentioning

confidence: 99%

“…For thick screens, these coefficients are transformed into the conventional expressions for a single interface (when ε ′′ = 0). Returning to the orientation of the emitting dipole in formula (18), we note that if the d component parallel to the plane through which radiation emerges existed, formula (19) would acquire a term ∝ cos Θ/ cos θ ∝ ε − sin 2 θ/ √ ε containing an additional power √ ε in the numerator. This would ultimately turn the radiation intensity to infinity in the limit of a perfect conductivity of the screen (ε ′′ → ∞).…”

Section: Energy Emitted Into Vacuummentioning

confidence: 99%

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On the theory of polarization radiation in media with sharp boundaries

Karlovets

2011

J. Exp. Theor. Phys.

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Polarization radiation arising when a charged particle moves uniformly in vacuum nearby the media possessing a finite permittivity ε(ω) = ε ′ + iε ′′ and sharp boundaries is considered. The method is developed in which polarization radiation is represented as a field of the current density induced in matter by the field of the moving charge. Solution is found for a problem of radiation arising when the particle moves along the axis of the vacuum cylindrical channel inside a thin screen of a finite radius and a finite permittivity. Depending on parameters of the problem, the solution obtained describes different types of polarization radiation: Cherenkov radiation, transition radiation and diffraction radiation. In particular, when the channel radius approaches zero and external radius of the screen tends to infinity the expression found for radiated energy completely coincides with the one derived by Pafomov for transition radiation generated in a slab. In another special case of ideal conductivity, the result obtained coincides with the one for diffraction radiation generated by the particle in the round hole in the infinitely thin screen. Solution is found for a problem of radiation generated when the charge moves nearby a rectangular screen possessing a finite permittivity. The expression derived describes diffraction and Cherenkov mechanisms of radiation and takes into account the possible multiple reflections of radiation inside the screen. Solution is also found for a problem of polarization radiation generated when the particle moves nearby a thin grating consisting of a finite number of rectangular strips possessing a finite permittivity and separated with vacuum gaps (Smith-Purcell radiation). In the special case of an ideally conducting grating, the formula derived for radiated energy coincides with the one of the well-known surface current model.

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Section: Radiation Inside a Screen With A Finite Permittivitysupporting

confidence: 76%

Section: Energy Emitted Into Vacuummentioning

confidence: 99%

Section: Energy Emitted Into Vacuummentioning

confidence: 99%

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On the theory of polarization radiation in media with sharp boundaries

Karlovets

2011

J. Exp. Theor. Phys.

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“…If the Cherenkov condition is fulfilled, the term in the square brackets is equal to unit, and the formula ( 13) is reduced to the one known in the Tamm theory (see e.g. [33]). For the layer of large width, interference term transforms into delta-function:…”

Section: Polarization Radiation Field Inside a Mediummentioning

confidence: 99%

Universal description for different types of polarization radiation

Karlovets,

Potylitsyn

2009

Preprint

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When a charged particle moves nearby a spatially inhomogeneous condensed medium or inside it, different types of radiation may arise: Diffraction radiation (DR), Smith-Purcell radiation (SPR), Transition radiation (TR), Cherenkov radiation (CR) etc. Along with transverse waves of radiation, the charged particle may also generate longitudinal oscillations. We show that all these phenomena may be described via quite simple and universal approach, where the source of the field is the polarization current density induced inside the medium by external field of the particle, that is direct proof of the physical equivalence of all these radiation processes. Exact solution for one of the basic radiation problems is found with this method: emission of a particle passing through a cylindrical channel in a screen of arbitrary width and permittivity ε(ω) = ε ′ + iε ′′ . Depending on geometry, the formula for radiated energy obtained describes different types of polarization radiation: DR, TR and CR. The particular case of radiation produced by the particle crossing axially the sharp boundary between vacuum and a plasma cylinder of finite radius is also considered. The problem of SPR generated when the particle moves nearby a set of thin rectangular strips (grating) is solved for the arbitrary value of the grating's permittivity. An exact solution of Maxwell's equations for the fields of polarization current density suitable at the arbitrary distances (including the so-called pre-wave zone) is presented. This solution is shown to describe transverse fields of polarization radiation and the longitudinal fields connected with the zeros of permittivity.

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“…It is worthwhile to add that CR from a relativistic particle travelling a limited trajectory of length l in a gas has been investigated theoretically and experimentally in [12,13]. In these papers the alternative criterion 00…”

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confidence: 99%

Radiation from a varying velocity charge in flight through a plate

Mkrtchyan

Grigoryan

Khachatryan

2014

J. Phys.: Conf. Ser.

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The radiation from a particle traversing with varying velocity through a plate in straight motion (along the normal to its surface) has been investigated. It is assumed that the particle coordinate (inside the plate) is an arbitrary monotone function of time. The calculations are based on appropriate exact solutions of the Maxwell equations. It was shown that as a result of variation of particle velocity inside the plate (e.g., due to its slowing-down) the spectralangular distribution of Cherenkov radiation generated by the particle inside the plate may be essentially affected. Possible practical application of this phenomenon is discussed.

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Calculations of threshold characteristics of vavilov-cherenkov radiation emitted by ultrarelativistic particles in a gaseous cherenkov counter

Cited by 19 publications

References 1 publication

On the theory of polarization radiation in media with sharp boundaries

On the theory of polarization radiation in media with sharp boundaries

Universal description for different types of polarization radiation

Radiation from a varying velocity charge in flight through a plate

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