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Title: On Maximum FODO Acceptance

This note illustrates maximum acceptance of FODO quadrupole focusing channel. Acceptance is the largest Floquet ellipse of a matched beam: A = $$\frac{a^2}{β}$$$$_{max}$$ where a is the aperture of the channel and βmax is the largest value of beta-function in the channel. If aperture of the channel is restricted by a circle of radius a, the s-s acceptance is available for particles oscillating at median plane, y=0. Particles outside median plane will occupy smaller phase space area. In x-y plane, cross section of the accepted beam has a shape of ellipse with truncated boundaries.
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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Technical Report
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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Country of Publication:
United States
43 PARTICLE ACCELERATORS Accelerator Design; Technology and Operations; Acceptance