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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Main Authors: M. Quattromini, M. Artioli, E. Di Palma, A. Petralia, L. Giannessi
Format: Article
Language:English
Published: American Physical Society 2012-08-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.15.080704
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spelling 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
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AT apetralia focusingpropertiesoflinearundulators
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