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SPS resistive-wall coupled-bunch instabilities – measurements and first simulations. N. Mounet and E. M é tral Acknowledgements: T. Bohl, W. Hofle, L. Jensen, G. Rumolo, B. Salvant !! Still preliminary results !!. Introduction.
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SPS resistive-wall coupled-bunch instabilities – measurements and first simulations N. Mounet and E. Métral Acknowledgements: T. Bohl, W. Hofle, L. Jensen, G. Rumolo, B. Salvant !! Still preliminary results !! N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Introduction • Several MDs performed (15-16 Sept. 2009, 3 Nov. 2009 & 22 July 2010) to measure the transverse coupled-bunch instability rise times with the 25ns LHC beam (one or several batches). The goal is to compare with multibunch HEADTAIL simulations (new code) using the SPS impedance model. • Idea: after injection oscillations are damped, switch off the transverse damper for typically 10 ms and observe (with the LHC-BPM) the growth of an instability. Try for several values of the chromaticity. • Here we present results on the last of these MD, where conditions were thought to be optimum: chromaticity and bunch length were measured on the same beam the same day, and LHC-BPM was fully functional. N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
v1 md off v2 md off v1 md on v2 md on damper (vertical here) v1 on v2 on v1 off v2 off magnets cycle 0 (inj) t1d t2d t (ms) -5 Initial chromaticity (x or y) (at inj. energy, before magnet ramp) Chromaticity profile after change t4c t1c t (ms) t2c t3c Timing of the MDs • Transverse dampers timing: • Chromaticity: Measurement between t1d and t2d, which are between t2c and t3c N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Foreword: uncertainties • The instability rise times measured might well include some electron cloud contribution. A way to prevent this would be to use the CNGS beam (5ns spacing, almost full machine filled), but it is more difficult to simulate. • The rise times could also include contribution from single-bunch instabilities, in particular at negative chromaticities. • The horizontal chromaticity measured on the MD of 22/07/2011 (the MD analyzed in the following slides) is subject to caution: if we believe it, only strongly negative chromaticity allow single batch instability, whereas in 2009 we observed instabilities even with slightly positive chromaticity. N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Parameters (MD 22/07/2011) • Qx=26.1289, Qy=26.1641. • Bunch length (total): between 2.5 and 3ns (depending on the bunch). • RF voltage: 3 MV. • Supercycle: LHC_4Inj_FB10860_FT835_Ext19415_2010_v1 • 1 batch of 72 bunches, 1.2 1011p+/bunch. • Timing: t1d=2000ms, t2d=2010ms (dampers), and t1c=1970ms, t2c=2000ms, t3c=2100ms, t4c=2150ms (chromaticity trim). • LHC-BPM delay set to 2016 or 2017 ms (additional delay of ~16ms is software related), 1000 turns acquired (usually). N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Multibunch instabilities: horizontal • FBCT around the time when feedback is off: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: horizontal • LHC BPM vs. number of turns, for successive bunches: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: horizontal • LHC BPM along the bunch train, for successive turns: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: vertical (but triggered by horizontal plane) • LHC BPM vs. number of turns, for successive bunches : N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: vertical (but triggered by horizontal plane) • LHC BPM along the bunch train, for successive turns: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Tunes along the bunch train Quite significant tune shift (up to 0.01), smaller with higher chromaticity N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Instability rise times vs. chromaticity • Rise time measurements (on several sets of data) compared to first Headtailmultibunch simulations (with beam pipe resistive-wall as single source of impedance): → Order of magnitude “ok” but dependence in chromaticity totally out. → Problem of chromaticity offset in measurement ? Or trapped modes change completely the impedance picture ? Or something else (e.g. bug in code, e-cloud or single-bunch in meas.) ? N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Instability rise times vs. chromaticity in horizontal • Rise time measurements (on several sets of data) compared to first Headtailmultibunch simulations, along the bunch train: → Measurements show a clear decrease of rise time when going toward the tail of the train. → On the contrary, simulations give flat rise times (first bunch as fast unstable as last bunch). N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Preliminary conclusions for horizontal instability • The instability seems to be coupled-bunch. • Positive tune shift is seen along the bunch train → could it be due to electron cloud ? Or to the negative quadrupolar impedance in x ? • First Headtail multibunch simulations with the beam pipe resistive-wall impedance give correct order of magnitude for the rise times but wrong chromaticity dependence and wrong behaviour along the bunch train. • Wrong offset in chromaticity in the measurements ? N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Multibunch instabilities: vertical • FBCT around the time when feedback is off: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: vertical • LHC BPM vs. number of turns, for successive bunches: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Example of instabilities: vertical • LHC BPM along the bunch train, for successive turns: N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Vertical tune along the bunch train Tune shift along the train is not clear (mainly noise, poor resolution) N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Instability rise times vs. chromaticity in vertical • Rise time measurements (on several sets of data) compared to first Headtailmultibunch simulations (with beam pipe resistive-wall as single source of impedance): → Order of magnitude “ok” but dependence in chromaticity totally out. → Trapped modes change completely the impedance picture ? Or something else (e.g. bug in code, e-cloud or single-bunch in meas.) ? N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Instability rise times vs. chromaticity in vertical • Rise time measurements (on several sets of data) compared to first Headtailmultibunch simulations, along the bunch train: → Measurements show a clear decrease of rise time when going toward the tail of the train. → Not so clear in simulations. N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Preliminary conclusions for vertical instability • The instability seems to be coupled-bunch. • No clear positive tune shift is seen along the bunch train. • First Headtail multibunch simulations with the beam pipe resistive-wall impedance give correct order of magnitude for the rise times, but wrong chromaticity dependence and maybe wrong behaviour along the bunch train. • in vertical it is less likely that there is a problem of offset in chromaticity in the measurements (comparing to other MDs)… N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011
Future actions • Analyze in detail the rest of the data (same MD with three bunch trains + the two MDs of 2009). • Benchmark the new multibunch Headtail code with analytic formulae (e.g. Sacherer or Laclare) in simple cases, with dipolar impedances only. • Compare the role of single-bunch vs. coupled-bunch instability with the code, in particular for negative chromaticity. • Add other contributions to the impedance model (trapped modes, C magnets) and take into account all the “single-bunch oriented” impedance model in ZBASE (thanks to B. Salvant). • Maybe do other MDs (e.g. with CNGS beam). N. Mounet and E. Métral - BE/ABP/ICE - SPSU meeting 17/03/2011