[SLAC]
[SLAC Pubs and Reports]
SLAC-TN-03-016
Modeling the Transverse Linear Optics
of a Charged Particle Storage Ring
Abstract
Charged particle storage rings play a key role in the frontiers of
high-energy physics. For the most part, however, particle physics
is largely unaccessible to undergraduate-level students,
discouraging such students from taking an early interest in it. It
is our premise, however, that the fundamental physics of storage
rings can, in fact, be taught at this stage, fostering interest in
accelerator physics. In this paper we present an introduction to
the transverse linear optics of a charged particle storage ring
suitable for second-year undergraduates. We begin by introducing
transverse motion in the one-dimensional case to establish a
familiarity with linear lattices. We then move on to our primary
goal which is to analytically decompose a coupled two-dimensional
system with a minimal amount of axiomatic treatment (the
derivation of the decoupling matrix, for example). While this is
by no means a comprehensive exposition on beam dynamics, it serves
to provide meaningful insight into the fundamental physics
involved in these machines for introductory students. It is our
hope that this approach can be extended to other aspects of
high-energy physics so that undergraduates may have a better
glimpse at the frontiers of their field.
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