Focusing properties of linear undulators

M. Quattromini, M. Artioli, E. Di Palma, A. Petralia, L. Giannessi

Research output: Contribution to journalArticle

27 Citations (Scopus)


This paper investigates the focusing properties of linear magnetic undulators, i.e., devices characterized by weak defocusing properties in the horizontal (wiggling) plane and strongly focusing in the vertical plane. The problem of identifying the conditions that ensure the existence of the electron beam eigenstates in the undulator lattice for a given working point of electron beam energy Eband resonant wavelength λris studied. For any given undulator lattice, a bandlike structure is identified defining regions in the (Eb,λr) plane where no periodic matching condition can be found, i.e., it is not possible to transport the electron beam so that optical functions are periodic at lattice boundaries. Some specific cases are discussed for the SPARC FEL undulator. Published by the American Physical Society under the terms of the licenses/by/3.0 Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Original languageEnglish
Article number080704
Pages (from-to)-
JournalPhysical Review Special Topics - Accelerators and Beams
Issue number8
Publication statusPublished - 23 Aug 2012
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)
  • Surfaces and Interfaces

Cite this

Quattromini, M., Artioli, M., Di Palma, E., Petralia, A., & Giannessi, L. (2012). Focusing properties of linear undulators. Physical Review Special Topics - Accelerators and Beams, 15(8), -. [080704].