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Extra info for Beam Techniques (Control, Manipulation)
31) b) From the measurement of phase advance errors in Fig. 9, estimate the amplitude of the modulation on the beam size. 3 Orbit Change induced by a Steering Corrector A simple method to measure the local beta function at a steering corrector magnet with a nearby BPM is to excite the corrector and to detect the orbit change at that BPM 21 . 33) where s is the location of the BPM, L the ring circumference, and s0 the location is applied. The last term is a small correction reflecting the where the kick change in beam energy induced by a kick at a dispersive location, for constant rf frequency.
1, CERN/SL/90-13, 1991. T. Lohse and P. Emma, “Linear Fitting of BPM Orbits and Lattice Parameters”, SLAC Single Pass Collider Memo CN-371 (1989). Y. Cai, M. Donald, J. Irwin, Y. Yan, “LEGO: A Modular Accelerator Design Code”, Proc. of IEEE PAC97, Vancouver, and SLAC-PUB-7642 (1997). The RESOLVE program was written by M. Lee. 27 27. J. Safranek, “Experimental determination of storage ring optics using orbit response measurements”, Nucl. Instr. and Meth. A388, 27 (1997). 28. J. Safranek, these proceedings.
27 27. J. Safranek, “Experimental determination of storage ring optics using orbit response measurements”, Nucl. Instr. and Meth. A388, 27 (1997). 28. J. Safranek, these proceedings. 29. M. Donald, private communication (1998). 30. S. Kamada, “Overview on Experimental Techniques and Observations”, Proc. of workshop on Nonlinear Dynamics in Particle Accelerators: Theory and Experiments”, Arcidosso, Italy (1994). 31. H. Koiso, H. Fukuma, Y. Funakoshi, S. Kamada, S. Matsumoto, K. Oide, and N. Yamamoto, “Beam-Based Measurement of Strength Errors in Quadrupole Magnets with Orbit Bumps”, Proc.