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Kotelnikov, I.A.

Paper Title Page
TH5PFP087 CSR Impedance Due to a Bend Magnet of Finite Length with a Vacuum Chamber of Rectangular Cross Section 3410
 
  • G.V. Stupakov
    SLAC, Menlo Park, California
  • I.A. Kotelnikov
    BINP SB RAS, Novosibirsk
 
 

Funding: Work supported by US DOE contracts DE-AC03-76SF00515


We study the impedance due to coherent synchrotron radiation (CSR) generated by a short bunch of charged particles passing through a bend magnet of finite length in a vacuum chamber of a given cross section. Our method represents a further development of the previous papers*. In this method we decompose the electromagnetic field of the beam into the eigenmodes of the toroidal chamber. We derive a system of equations for the expansion coefficients in the series, and develop a numerical algorithm for practical calculations. We illustrate our general method by calculating the CSR impedance of a beam moving in a vacuum chamber of rectangular cross section.


*G. V. Stupakov and I. A. Kotelnikov, PRST-AB 6, 034401 (2003); T. Agoh, K.Yokoya, PRST-AB, 7, 054403 (2004)