Analytical solution of transverse oscillation in cyclotron using LP method  

作　　者：周凯 宋云涛 丁开忠 葛剑 姚凯 

机构地区：[1]School of Physics,University of Science and Technology of China [2]Hefei CAS Ion Medical and Technical Devices Co.,Ltd [3]Institute of Plasma Physics Chinese Academy of Sciences

出　　处：《Chinese Physics C》2018年第3期102-107,共6页中国物理C（英文版）

摘　　要：We have carried out an approximate analytical solution to precisely consider the influence of magnetic field on the transverse oscillation of particles in a cyclotron. The differential equations of transverse oscillation are solved from the Lindstedt-Poineare method. After careful deduction, accurate first-order analytic solutions are obtained. The analytical solutions are applied to the magnetic field from an isochronous cyclotron with four spiral sectors. The accuracy of these analytical solutions is verified and confirmed from comparison with a numerical method. Finally, we discussed the transverse oscillation at v0 =N/2, using the same analytical solution.We have carried out an approximate analytical solution to precisely consider the influence of magnetic field on the transverse oscillation of particles in a cyclotron. The differential equations of transverse oscillation are solved from the Lindstedt-Poineare method. After careful deduction, accurate first-order analytic solutions are obtained. The analytical solutions are applied to the magnetic field from an isochronous cyclotron with four spiral sectors. The accuracy of these analytical solutions is verified and confirmed from comparison with a numerical method. Finally, we discussed the transverse oscillation at v0 =N/2, using the same analytical solution.

关 键 词：CYCLOTRON perturbation method transverse oscillation LP method 

分 类 号：TL542[核科学技术—核技术及应用]