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 http://creativecommons.org/ 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.
|Journal||Physical Review Special Topics - Accelerators and Beams|
|Publication status||Published - 23 Aug 2012|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
- Surfaces and Interfaces
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), -. . https://doi.org/10.1103/PhysRevSTAB.15.080704