Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
High Order Aberration Correction. / Andrianov, S.N.; Chechenin, A.N.
Proceedings of the 2006 European Particle Accelerator Conference –EPAC’2006. 2006. p. 2125-2127 WEPCH088.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
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TY - GEN
T1 - High Order Aberration Correction
AU - Andrianov, S.N.
AU - Chechenin, A.N.
PY - 2006
Y1 - 2006
N2 - It is known that modern accelerators fall under nonlinear aberrations influence. The most of these aberrations have harmful character, and their effect must be maximally decreased. There are a set of approaches and codes to solving this problem. In this paper, we consider an approach for solving this problem using the matrix formalism for Lie algebraic tools. This formalism allows reducing the starting problem to linear algebraic equations for aberration coefficients, which are elements of corresponding matrices. There are discussed results evaluated using suggested approach and nonlinear programming tools. Some examples of corresponding results are given.
AB - It is known that modern accelerators fall under nonlinear aberrations influence. The most of these aberrations have harmful character, and their effect must be maximally decreased. There are a set of approaches and codes to solving this problem. In this paper, we consider an approach for solving this problem using the matrix formalism for Lie algebraic tools. This formalism allows reducing the starting problem to linear algebraic equations for aberration coefficients, which are elements of corresponding matrices. There are discussed results evaluated using suggested approach and nonlinear programming tools. Some examples of corresponding results are given.
UR - https://accelconf.web.cern.ch/e06/HTML/AUTHOR.HTM
M3 - Conference contribution
SN - 92-9083-278-9
SP - 2125
EP - 2127
BT - Proceedings of the 2006 European Particle Accelerator Conference –EPAC’2006
T2 - The tenth European Particle Accelerator Conference
Y2 - 26 June 2006 through 30 June 2006
ER -
ID: 4440542