Wuppertal 2015 – scientific programme
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AKBP: Arbeitskreis Beschleunigerphysik
AKBP 15: Beam Dynamics / Simulation III
AKBP 15.1: Talk
Thursday, March 12, 2015, 16:45–17:00, F.10.01 (HS 4)
Beam Transfer Functions and Tune Spread in Bunched Beams — •Paul Görgen1, Oliver Boine-Frankenheim1, and Wolfram Fischer2 — 1Institut für Theorie Elektromagnetischer Felder (TEMF), Technische Universität Darmstadt, Schloßgartenstr. 8 64289 Darmstadt, Germany — 2Brookhaven National Laboratory, Upton, NY 11973, United States
We present our results on measurement of transverse tune spread due to transverse nonlinearities in high energy synchrotrons using Beam Transfer Functions (BTF). We work under the assumption of frozen or near-frozen synchrotron motion commonly found in high energy machines. We discuss the analytic equation for the BTF in absence of coherent modes. We show that the tune distribution can not be recovered from the transverse BTF alone. We then show that even in absence of additional knowledge, the BTF can be used to measure the tune spread. We discuss the application and applicability of this method and show agreement between analytic results, simulation and measurement.