Analysis of Continuously-rotating Quadrupole Focusing Channels using Generalized Courant-Snyder Theory
Authors: Moses Chung, Hong Qin, Erik Gilson, and Ronald C. Davidson
Abstract:
By extending the recently developed generalized Courant-Snyder theory for coupled transverse
beam dynamics, we have constructed the Gaussian beam distribution and its projections with
arbitrary mode emittance ratios. The new formulation has been applied to a continuously-rotating
quadrupole focusing channel because the basic properties of this channel are known theoretically
and could also be investigated experimentally in a compact setup such as the linear Paul trap
configuration. The new formulation retains a remarkably similar mathematical structure to the
original Courant-Snyder theory, and thus provides a powerful theoretical tool to investigate coupled
transverse beam dynamics in general and more complex linear focusing channels.
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Submitted to: Physics of Plasmas (July 2013)
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Download PPPL-4942 (pdf 1.4 MB 15 pp)
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