Vavilov–Cherenkov Radiation in an Inclined Dielectric Plate and Violation of Azimuthal Symmetry

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Abstract

Abstract: For over half a century, Vavilov–Cherenkov radiation (VCR) has been used for detecting elementary particles. Lately, some authors have proposed using the coherent VCR emitted by a short particle bunch for measuring its length. Towards this, they envisage using dielectric targets of conical (or more complex) shapes whereby the radiation is transported to a vacuum with minimum losses for multiple reflections. Unfortunately, analytical methods for deriving the VCR spectral and angular characteristics are restricted to targets with simplest geometries even for noncoherent radiation. In this paper, the characteristics of Vavilov–Cherenkov radiation emitted by an inclined dielectric plate are analytically derived using the imaging and polarization-current approaches. Our calculations adequately reproduce the results of a recent experiment. We demonstrate that not only the bunch length, but also its transverse profile can be probed using its VCR.

Original languageEnglish
Pages (from-to)127-132
Number of pages6
JournalPhysics of Particles and Nuclei Letters
Volume16
Issue number2
DOIs
Publication statusPublished - 1 Mar 2019

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Radiation
symmetry
radiation
Elementary Particles
coherent radiation
elementary particles
Vacuum
vacuum
polarization
profiles
geometry

ASJC Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Radiology Nuclear Medicine and imaging

Cite this

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abstract = "Abstract: For over half a century, Vavilov–Cherenkov radiation (VCR) has been used for detecting elementary particles. Lately, some authors have proposed using the coherent VCR emitted by a short particle bunch for measuring its length. Towards this, they envisage using dielectric targets of conical (or more complex) shapes whereby the radiation is transported to a vacuum with minimum losses for multiple reflections. Unfortunately, analytical methods for deriving the VCR spectral and angular characteristics are restricted to targets with simplest geometries even for noncoherent radiation. In this paper, the characteristics of Vavilov–Cherenkov radiation emitted by an inclined dielectric plate are analytically derived using the imaging and polarization-current approaches. Our calculations adequately reproduce the results of a recent experiment. We demonstrate that not only the bunch length, but also its transverse profile can be probed using its VCR.",
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