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Method of Computing First-, Second-, and Third-Order Transfer Coefficients for Arbitrary Fields

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2 Author(s)
M. Yoon ; Department of Physics, POSTECH, Gyeongbuk, S. Korea ; D. S. Robin

For given arbitrary electromagnetic fields, an analytical method to obtain transfer coefficients up to the third order in phase-space coordinates is described in this paper. The method is based on numerical tracking of a number of representative particles followed by the least-square minimization. The result is applied to an arbitrary beamline consisting of linear and nonlinear beam-optical elements and favorably compared with the numerical particle tracking. Transfer coefficients obtained with our method are also compared with those obtained from an existing computer code.

Published in:

IEEE Transactions on Nuclear Science  (Volume:60 ,  Issue: 5 )