Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch

The longitudinal wake is calculated for a bunch of ultrarelativistic electrons that is deflected by a magnet that is much shorter than the formation length of its coherent synchrotron radiation. Using this wake and the Coulomb field of an image bunch, we obtain formulas for the wake of coherent tran...

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Main Author: R. A. Bosch
Format: Article
Language:English
Published: American Physical Society 2008-10-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.11.100704
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author R. A. Bosch
author_facet R. A. Bosch
author_sort R. A. Bosch
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description The longitudinal wake is calculated for a bunch of ultrarelativistic electrons that is deflected by a magnet that is much shorter than the formation length of its coherent synchrotron radiation. Using this wake and the Coulomb field of an image bunch, we obtain formulas for the wake of coherent transition radiation. By modeling the coherent diffraction radiation of an iris as the coherent transition radiation from a hollow bunch, we calculate the on-axis longitudinal wake of coherent diffraction radiation for an arbitrary target shape. We also calculate the influence of an upstream magnet’s edge radiation upon the wake.
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spelling doaj.art-43d7f3ce48ac4cf69d0c6ffd6a6fd61f2022-12-21T22:47:41ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022008-10-01111010070410.1103/PhysRevSTAB.11.100704Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunchR. A. BoschThe longitudinal wake is calculated for a bunch of ultrarelativistic electrons that is deflected by a magnet that is much shorter than the formation length of its coherent synchrotron radiation. Using this wake and the Coulomb field of an image bunch, we obtain formulas for the wake of coherent transition radiation. By modeling the coherent diffraction radiation of an iris as the coherent transition radiation from a hollow bunch, we calculate the on-axis longitudinal wake of coherent diffraction radiation for an arbitrary target shape. We also calculate the influence of an upstream magnet’s edge radiation upon the wake.http://doi.org/10.1103/PhysRevSTAB.11.100704
spellingShingle R. A. Bosch
Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
Physical Review Special Topics. Accelerators and Beams
title Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
title_full Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
title_fullStr Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
title_full_unstemmed Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
title_short Longitudinal wakes of a short magnet, coherent transition radiation, and coherent diffraction radiation for an ultrarelativistic electron bunch
title_sort longitudinal wakes of a short magnet coherent transition radiation and coherent diffraction radiation for an ultrarelativistic electron bunch
url http://doi.org/10.1103/PhysRevSTAB.11.100704
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