First experimental observation of the conical effect in Smith–Purcell radiation

Naumenko, G. A.; Потылицын, А. П.; Sergeeva, D. Yu.; Tishchenko, A. A.; Strikhanov, M.; Bleko, V. V.

doi:10.1134/s002136401709003x

Cited by 12 publications

(6 citation statements)

References 25 publications

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“…1 according to Eqs. ( 19) and ( 20) is generally lim- ited by a decreasing exponential, which always appears in the spectral-angular distribution of radiation from a single particle in the presence of the target edge: (23) where h is the impact parameter, i.e., the shortest distance between the center of the bunch and the target surface. In this case, a geometric constraint occurs: it is clear that the transverse size of the bunch should be smaller than the distance between its center and the target surface, i.e., (24) We note that condition (24) in the practical case of particles with ultrarelativistic energies is taken with the more stringent form h ≫ r 0 , because beams are usually separated by distances noticeably exceeding the transverse size of the beam in order to prevent the induction of radioactivity in targets by the halo of the beam.…”

Section: Estimate Of the Contribution Of The Incoherent Form Factormentioning

confidence: 99%

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Incoherent Form Factor in Diffraction and Smith—Purcell Radiations

Tishchenko

Sergeeva

2019

Jetp Lett.

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It has been shown that polarization radiation of charged particle beams generally includes an incoherent form factor caused by a finite transverse size of a beam. Consequently, a widespread opinion that the form factor characterizes only coherent radiation of charge particle bunches is generally invalid. The reason for the existence of incoherent form factor is the interaction of charged particles with the target edge in the direction perpendicular to their trajectory. The incoherent form factor exists for diffraction radiation, Smith-Purcell radiation, and other types of polarization radiation in the case of transversely limited targets: transition radiation, parametric X-ray radiation, and Cherenkov radiation. It has been shown that the difference of the incoherent form factor from unity increases with a decrease in the ratio of the impact parameter to the transverse size of the bunch. Furthermore, it has been shown that the transverse part of the coherent form factor differs from unity to the same extent as the incoherent form factor.

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Section: Estimate Of the Contribution Of The Incoherent Form Factormentioning

confidence: 99%

“…We note that the above consideration is also applicable to a modulated beam [23,24] or the measurement of polarization radiation [25].…”

Section: Estimate Of the Contribution Of The Incoherent Form Factormentioning

confidence: 99%

Incoherent Form Factor in Diffraction and Smith—Purcell Radiations

Tishchenko

Sergeeva

2019

Jetp Lett.

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“…and 2). This effect was discussed in [19], analytically described in [18], and experimentally proved in [20].…”

Section: Introductionmentioning

confidence: 76%

Theory of Smith-Purcell radiation from a 2D array of small noninteracting particles

2021

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We construct the first-principles theory for the scattering of the Coulomb field of a fast electron traveling along an array of nano-or microparticles. The electron's trajectory is arbitrarily oriented in the plane parallel to the surface. We show that Smith-Purcell radiation accompanying this process results in very rich diffraction patterns, which differ dramatically from the ones for conventional diffraction gratings; a numerical analysis was made for THz frequencies. The generalized Smith-Purcell dispersion relation has been derived; it describes the link between frequency, two periods of the structure, the electron's velocity, and the angle of radiation with maximal intensity. The unique spatial distribution of the generated light can form the basis for the generation of structured-light electron-driven photon sources.

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“…In the present paper this method is applied to the case of oblique incidence of the particle on the plate (but parallel to the plate's edge) as well as to the periodic set of such plates (Smith-Purcell radiation). The oblique incidence of the particle (both in the case of the single plate and in the case of the periodic grating of such plates) leads to the so called conical effect in the radiation angular distribution recently observed in [4]. We outline that the origin of this effect lies in the superluminal motion along the plate's edge of the disturbance produced by the incident particle's field in the plates.…”

Section: Introductionmentioning

confidence: 82%

Eikonal Approximation and the Conical Effect in Smith-Purcell Radiation

Сыщенко¹,

Tarnovsky²

2019

Preprint

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The diffraction and transition radiation under normal incidence of a particle to the semi-infinite dielectric plate had been considered previously using the eikonal approximation in the transition radiation theory. This approach is valid for the high radiation frequencies domain (where the dielectric permittivity of the plate material is close to unit), including X-ray domain.In the present report this method is applied to the case of oblique incidence of the particle on the plate (but parallel to the plate's edge) as well as to the periodic set of such plates (Smith-Purcell radiation). The oblique incidence of the particle (both in the case of the single plate and in the case of the periodic grating of such plates) leads to the so called conical effect in the radiation angular distribution observed recently. We outline that the origin of this effect lies in the superluminal motion along the plate's edge of the disturbance produced by the incident particle's field in the plates. The analogous effects arise in various physical situations. Also we compare our results to ones obtained using different technique. K: Interaction of radiation with matter, Cherenkov and transition radiation 1Corresponding author.

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First experimental observation of the conical effect in Smith–Purcell radiation

Cited by 12 publications

References 25 publications

Incoherent Form Factor in Diffraction and Smith—Purcell Radiations

Incoherent Form Factor in Diffraction and Smith—Purcell Radiations

Theory of Smith-Purcell radiation from a 2D array of small noninteracting particles

Eikonal Approximation and the Conical Effect in Smith-Purcell Radiation

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