Transverse resistive wall impedances and shielding effectiveness for beam pipes of arbitrary wall thickness
Transverse resistive wall impedances and shielding effectiveness for beam pipes of arbitrary wall thickness
复制标题
任意壁厚束管的横向电阻壁阻抗和屏蔽效能
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
I. Hofmann
中科院分区：
文献类型：
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作者：
A. Al;R. Hasse;O. Boine;W. Daqa;I. Hofmann
利用场匹配技术，给出了任意厚度光滑圆柱波束管的横向阻抗和屏蔽效能的封闭解析表达式。在粗梁和细梁管的极限情况下，再现了众所周知的表达式。将横向透射系数与我们以前的工作[A]中得到的纵向透射系数进行了比较。M. Al-Khateeb， O. Boine-Frankenheim， R. W. Hasse和I. Hofmann，物理学家。[j].电子工程学报，2003,26(5)。结果应用于重离子同步加速器SIS 18和计划在GSI的SIS 100。在这两种机器中，偶极子部分的不锈钢梁管在旋转频率下比表皮深度薄得多，因此，阻抗值和传输是值得关注的。
Using field matching techniques, closed form analytic expressions for the transverse impedance and for the shielding effectiveness of a smooth cylindrical beam pipe of arbitrary thickness are presented. In the limit of thick and thin beam pipes the well-known expressions are reproduced. The transverse transmission coefficient is compared with the longitudinal one that has been obtained in our previous work [A. M. Al-Khateeb, O. Boine-Frankenheim, R. W. Hasse, and I. Hofmann, Phys. Rev. E 71, 026501 (2005).]. The results are applied to the heavy ion synchrotron SIS 18 and to the planned SIS 100 at GSI. In both machines the stainless steel beam pipe in the dipole sections is much thinner than the skin depths at the revolution frequency and, therefore, the impedance value and the transmission are of concern.