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TY - CONF AU - Nolden, F. AU - Wu, J.X. ED - Akers, Evelyn (Jefferson Lab), Satogata, Todd Satogata (Jefferson Lab), Schaa, Volker RW Schaa (GSI) TI - Signals from a Beam Performing Betatron Oscillations Using an Electrostatic Electrode Model with Rectangular Boundaries J2 - Proc. of COOL2015, Newport News, VA, USA, September 28 - October 2, 2015 C1 - Newport News, VA, USA T2 - International Workshop on Beam Cooling and Related Topics T3 - 10 LA - english AB - We present a novel electrostatic electrode model with rectangular boundaries. The fields are calculated using a conformal mapping. These fields are used to calculate the signal due to a relativistic beam. The response at harmonics of the revolution frequency and at the corresponding horizontal and vertical sidebands is given. The underlying nonlinear formalism is due to Bisognano and Leeman. The electrode geometry of the new stochastic cooling system at the CSRe ring at the IMP in Lanzhou is taken to derive the responses in the sum mode, the horizontal difference mode, and the vertical difference mode. PB - JACoW CP - Geneva, Switzerland SP - 51 EP - 54 KW - betatron KW - pick-up KW - storage-ring KW - vacuum KW - kicker DA - 2016/11 PY - 2016 SN - 978-3-95450-174-8 DO - 10.18429/JACoW-COOL2015-MOPF09 UR - https://spms.fnal.gov/pls/cool15/papers/mopf09.pdf ER -