Spectral properties of two-harmonic undulator radiation

G. Dattoli, G. Voykov

Research output: Contribution to journalArticle

35 Citations (Scopus)


In this paper we study the spectroscopic details of the radiation emitted by electrons propagating at relativistic velocities in undulators, whose on-axis field consists of the usual periodic term plus a contribution at a given harmonic. We present a fully analytic study and show that the undulator brightness can be written in a closed form using a new class of Bessel functions, which allows a clear understanding of the harmonic selection mechanisms pattern. We compare the analytic results with a fully numerical procedure and prove the equivalence of the two methods. We also discuss the relevance of the obtained results within the context of free-electron laser (FEL) physics. © 1993 The American Physical Society.
Original languageEnglish
Pages (from-to)3030 - 3039
Number of pages10
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number4
Publication statusPublished - 1993
Externally publishedYes


All Science Journal Classification (ASJC) codes

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

Cite this