Calculation of Coherent Synchrotron Radiation Impedance Using the Mode Expansion Method
We study an impedance due to coherent synchrotron radiation (CSR) generated by a short bunch of charged particles passing through a dipole magnet of finite length in a vacuum chamber of a given cross section. In our method we decompose the electromagnetic field of the beam over the eigenmodes of the toroidal chamber and derive a system of equations for the expansion coefficients in the series. The general method is further specialized for a toroidal vacuum chamber of a rectangular cross section where the eigenmodes can be computed analytically. We also develop a computer code that calculates the CSR impedance for a toroid of rectangular cross section. Numerical results obtained with the code are presented in the paper.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 969262
- Report Number(s):
- SLAC-PUB-13822; TRN: US1000229
- Journal Information:
- Phys.Rev.ST Accel.Beams 12:104401,2009, Vol. 12; ISSN 1098-4402
- Country of Publication:
- United States
- Language:
- English
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