Analytical transfer matrix of a quadrupole fringe

PENG Yue-Mei; XU Gang

doi:10.1088/1674-1137/35/11/013

Chinese Physics C> 2011, Vol. 35> Issue(11) : 1047-1052 DOI: 10.1088/1674-1137/35/11/013

Analytical transfer matrix of a quadrupole fringe

PENG Yue-Mei ,
XU Gang

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Abstract：
The analytical linear transfer matrices for different quadrupole fringes including quadratic, high order power and exponential models are deduced in this paper. As an example, the transfer matrices of the quadrupole BEPCⅡ/ 105Q are computed for the above three models and compared with hard edge and slice-by-slice models in cases of near 60° and 90° FODO cells. These models' results are much better than the hard edge model's, and can meet the requirement of accurate calculation.

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PENG Yue-Mei and XU Gang. Analytical transfer matrix of a quadrupole fringe[J]. Chinese Physics C, 2011, 35(11): 1047-1052. doi: 10.1088/1674-1137/35/11/013

PENG Yue-Mei and XU Gang. Analytical transfer matrix of a quadrupole fringe[J]. Chinese Physics C, 2011, 35(11): 1047-1052. doi: 10.1088/1674-1137/35/11/013 shu

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Received: 2011-01-17
Revised: 2011-04-07

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沈阳化工大学材料科学与工程学院沈阳 110142

Analytical transfer matrix of a quadrupole fringe

PENG Yue-Mei
XU Gang

Received Date: 2011-01-17
Accepted Date: 2011-04-07
Available Online: 2011-11-05

Abstract: The analytical linear transfer matrices for different quadrupole fringes including quadratic, high order power and exponential models are deduced in this paper. As an example, the transfer matrices of the quadrupole BEPCⅡ/ 105Q are computed for the above three models and compared with hard edge and slice-by-slice models in cases of near 60° and 90° FODO cells. These models' results are much better than the hard edge model's, and can meet the requirement of accurate calculation.