On Maximum FODO Acceptance

Batygin, Yuri Konstantinovich¹ 

[1] Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

关键词: Accelerator Design;    Technology and Operations;    Acceptance;   

DOI  :  10.2172/1167012
RP-ID  :  LA-UR-14--29727
PID  :  OSTI ID: 1167012

学科分类：核物理和高能物理

美国|英语

来源: SciTech Connect

【 摘 要 】

This note illustrates maximum acceptance of FODO quadrupole focusing channel. Acceptance is the largest Floquet ellipse of a matched beam: A = $\frac{a^2}{??}$$_{max}$ where a is the aperture of the channel and ??_max 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.