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Minimizing longitudinal distortion in a nearly isochronous linear nonscaling fixed-field alternatin

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John Urish
Updated by:
J Scott Berg
Document Created:
04 Oct 2005, 12:00
Contents Revised:
04 Oct 2005, 12:00
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17 Oct 2006, 09:51
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Linear non-scaling FFAGs (Fixed-Field Alternating Gradient accelerators) are
machines that use linear magnets to achieve an extremely large energy
acceptance (generally a factor of 2 or more). This paper examines the
longitudinal dynamics in such a machine, focusing on the longitudinal
acceptance, the phase space area that is transmitted without excessive
distortion. The paper shows how to compute the distortion in two ways:
computing the emittance growth, and computing the distortion of an initial
ellipse from an elliptical shape. The paper will describe a model for the
longitudinal dynamics in a linear non-scaling FFAG, show how to compute the
longitudinal distortion in such a machine using a Dragt-Finn factorization,
examine the accuracy of the calculation, and describe how longitudinal
acceptance can interact with other performance criteria for an FFAG.

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Publication Information:
Phys. Rev. ST Accel. Beams 9, 034001 (2006)
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