• Q. Qin, N. Huang, D. Ji, Y. Jiao, Y.D. Liu, Y.M. Peng, D. Wang, J.Q. Wang, N. Wang, X.H. Wang, Y. Wei, X.M. Wen, J. Xing, G. Xu, C.H. Yu, C. Zhang, Y. Zhang
  IHEP Beijing, Beijing
• Z. Duan
  IHEP Beiing, Beijing

As a tau-charm factory like collider, the upgrade project of the Beijing Electron Positron Collider (BEPCII), has reached its first design value of luminosity. During the commissioning of its luminosity, beam optics recovery, machine parameters measurement, detector solenoid compensation, and instability cure are main problems we met. Besides commissioning the machine, beams were delivered to the users from high energy physics and synchrotron radiation. This paper summarizes the accelerator physics issues in the BEPCII luminosity commissioning.

Supported by National Natural Sciences Foundation of China (10725525)

• D.M. Zhou
  KEK, Ibaraki
• Y. Chen, J. Tang, N. Wang
  IHEP Beijing, Beijing

A perturbation method based on Lie technique, originated by J. Irwin and C.-x. Wang, was extended to calculate the linear maps for the fringe field of a quadrupole. In our method, the fringe field shape is not necessarily anti-symmetric with respect to the hard-edge position. The linear maps were explicitly expressed as functions of fringe field integrals. Thus they can be used to assess the influence of the quadrupole fringe fields in beam dynamics.