CERN Accelerating science

Article
Report number	arXiv:1507.02213 ; arXiv:1507.02213
Title	Low-emittance Storage Rings
Author(s)	Wolski, Andrzej (U. Liverpool (main))
Publication	2014
Imprint	2015-07-08
Number of pages	50
Note	Presented at the CERN Accelerator School CAS 2013: Advanced Accelerator Physics Course, Trondheim, Norway, 18-29 August 2013
In:	CAS - CERN Accelerator School: Advanced Accelerator Physics, pp.245-294
DOI	10.5170/CERN-2014-009.245
Subject category	Accelerator and Storage Rings
Abstract	The effects of synchrotron radiation on particle motion in storage rings are discussed. In the absence of radiation, particle motion is symplectic, and the beam emittances are conserved. The inclusion of radiation effects in a classical approximation leads to emittance damping: expressions for the damping times are derived. Then, it is shown that quantum radiation effects lead to excitation of the beam emittances. General expressions for the equilibrium longitudinal and horizontal (natural) emittances are derived. The impact of lattice design on the natural emittance is discussed, with particular attention to the special cases of FODO-, achromat- and theoretical-minimum-emittance-style lattices. Finally, the effects of betatron coupling and vertical dispersion (generated by magnet alignment and lattice tuning errors) on the vertical emittance are considered.
Copyright/License	publication: © 2014-2025 CERN (License: CC-BY-4.0)

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