Betatron motion and linear undulator brightness: Inhomogeneous broadening effects due to electron-beam emittance and Twiss parameters

G. Dattoli, G.K. Voykov, M. Carpanese

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Abstract

The combined effects of electron-beam betatron motion and non-negligible emittance provide a rich phenomenology of the radiation emitted in linearly polarized undulators. Indeed, even harmonics may be radiated on axis and the induced inhomogeneous broadenings depend on the electron-beam matching condition. We discuss the dependence of undulator brightness on electron-beam betatron motion and also analyze how the harmonic spectrum depends on the electron-beam emittance and Twiss parameters. We present independent analytical and numerical analyses, make a comparison between the two methods, and comment on the limits of the analytical treatment. (c) 1995 The American Physical Society © 1995 The American Physical Society.
Original languageEnglish
Pages (from-to)6809 - 6817
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume52
Issue number6
DOIs
Publication statusPublished - 1995
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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