SPS Kicker Impedances from Jan Uythoven, May 2006

Graph summarizing the theoretical impedance of the SPS kicker magnets. The impedance has been calculated following the theory by H.Tsutsui (CERN-SL-2000-04 AP). These same formulas have been used in 2003 and 2004 to calculate the deposited power in the MKE magnets and have been verified by temperature measurements. Jan Uythoven has plotted the impedance up to f = 2 GHz, but of course, the power in the beam spectrum can be neglected above 1 GHz. The conclusion is that only the MKE and MKP-L magnets have a potential impedance problem with the actual bunch structure. Fritz  Caspers pointed out that the effect on the beam stability is a separate issue.

Updated graph. Changes: (1) Now there is only one MKE-L, which is the MKE-L as installed in the machine. (2) The MKDV impedance has been drastically reduced, as the conductor of the vertical kicker magnet is sitting in the ‘other’ plane. Because the MKDV only have a 56 mm full vertical aperture, with conductors in the vertical plane, the impedance of these kickers is very small.

Some Simplified Models of Ferrite Kicker Magnet for Calculation of Longitudinal Coupling Impedance, H. Tsutsui, 2000