Focusing properties of linear undulators
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...
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American Physical Society
2012-08-01
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Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.15.080704 |
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doaj-32fde656f3c24f88bd7e6703e42d248d2020-11-24T22:08:23ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022012-08-0115808070410.1103/PhysRevSTAB.15.080704Focusing properties of linear undulatorsM. QuattrominiM. ArtioliE. Di PalmaA. PetraliaL. GiannessiThis 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 E_{b} and resonant wavelength λ_{r} is studied. For any given undulator lattice, a bandlike structure is identified defining regions in the (E_{b},λ_{r}) 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.http://doi.org/10.1103/PhysRevSTAB.15.080704 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Quattromini M. Artioli E. Di Palma A. Petralia L. Giannessi |
spellingShingle |
M. Quattromini M. Artioli E. Di Palma A. Petralia L. Giannessi Focusing properties of linear undulators Physical Review Special Topics. Accelerators and Beams |
author_facet |
M. Quattromini M. Artioli E. Di Palma A. Petralia L. Giannessi |
author_sort |
M. Quattromini |
title |
Focusing properties of linear undulators |
title_short |
Focusing properties of linear undulators |
title_full |
Focusing properties of linear undulators |
title_fullStr |
Focusing properties of linear undulators |
title_full_unstemmed |
Focusing properties of linear undulators |
title_sort |
focusing properties of linear undulators |
publisher |
American Physical Society |
series |
Physical Review Special Topics. Accelerators and Beams |
issn |
1098-4402 |
publishDate |
2012-08-01 |
description |
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 E_{b} and resonant wavelength λ_{r} is studied. For any given undulator lattice, a bandlike structure is identified defining regions in the (E_{b},λ_{r}) 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. |
url |
http://doi.org/10.1103/PhysRevSTAB.15.080704 |
work_keys_str_mv |
AT mquattromini focusingpropertiesoflinearundulators AT martioli focusingpropertiesoflinearundulators AT edipalma focusingpropertiesoflinearundulators AT apetralia focusingpropertiesoflinearundulators AT lgiannessi focusingpropertiesoflinearundulators |
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