Phys. Rev. ST Accel. Beams 12, 061001 (2009) [9 pages]Minimum emittance in storage rings with uniform or nonuniform dipoles
A simple treatment of minimum emittance theory in storage rings is presented, favoring vector and matrix forms for a more concise picture. Both conventional uniform dipoles and nonuniform dipoles with bending radius variation are treated. Simple formulas are given for computing the minimum emittance, optimal lattice parameters, as well as effects of nonoptimal parameters. For nonuniform dipoles, analytical results are obtained for a three-piece sandwich dipole model. Minimization of the effective emittance for light sources is given in detail. Usefulness of gradient and/or nonuniform dipoles for reducing the effective emittance is addressed. This article is available under the terms of the 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.12.061001
DOI:
10.1103/PhysRevSTAB.12.061001
PACS:
29.27.Bd, 41.75.−i, 29.20.db, 41.85.−p
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