Other means to increase the SPS 25 ns performance - longitudinal plane T. Argyropoulos, E. Shaposhnikova, Jose E. Varela LHC Performance Workshop (Chamonix 2014) 22-25 September 2014 Acknowledgements: H, Bartosik, T. Bohl, F. Caspers, H. Damerau, A. Lasheen, E. Montesinos, J. E. Muller , D. Quartullo, H. Timkó, C. Zannini T. Argyropoulos, LIU Day 2014
Outline Status of the 25 ns LHC beam in the SPS before LS1 (2012) Main performance limitations in the SPS for HL-LHC parameters RF power Emittance blow-up due to longitudinal instabilities Possible additional means to increase the 25 ns beam intensity in the SPS after approved LIU upgrades At SPS – LHC transfer During acceleration ramp Summary
25 ns beam in SPS before LS1 Achieved in the last 2012 MD at 450 GeV/c: 4 batches with intensity of 1.35x10 11 p/b (double RF and Q20 optics) and bunch length ~ 1.7 ns To avoid losses bunch length required for transfer to LHC: τ 4 σ ≤ 1.7 ns (BQM max 1.9 ns) This result is used as a reference point for scaling to the higher intensities Beam transmission High losses for injected intensities above 1.4x10 11 The 200 MHz RF voltage during the ramp was increased close to the limit of 7 MV (from beam loading) Longitudinal instabilities J. Esteban Muller et al.
HL-LHC: limitations for SPS-LHC transfer HL-LHC request: 2.4x10 11 p/b at SPS flat top with τ 4 σ ≤ 1.7 ns , but 1/2 ) larger longitudinal emittance is needed for beam stability ( 𝜁 𝑚 ∝ 𝑂 𝑐 limited RF voltage due to beam loading and potential well distortion 𝑄𝑋𝐸 ∝ 𝜐 −3 ) 2 and 𝑊 ( 𝑊 ∝ 𝜁 𝑚 𝑗𝑜𝑒 After 200 MHz upgrade (2020): 2x4 + 4x3 After upgrade we can reach RF voltage at transfer to LHC • 2.7 A (2.1x10 11 p/b) without performance degradation • ~10 MV should be available for 3 A (2.3x10 11 p/b) But 12.5 MV are required Ref. point V ind for τ = const (LD & PWD) Solutions: Increase acceptable longitudinal emittance 𝜻 𝒎 Reduce longitudinal blow-up Note: single bunch scaling for LD & PWD from (impedance) present experimental results (ref. point)
Uncontrolled emittance blow-up: possible impedance source SPS longitudinal impedance model: RF cavities (200 MHz + HOM, 800 MHz), BPMs, kickers, resistive wall, unshielded pumping ports, Y – chamber, beam scrapers Search for high frequency impedance Measurements at flat bottom with long bunches (25 ns) and RF off Peak at 1.4 GHz Vacuum flanges (different types, ~500 in the ring)
Uncontrolled emittance blow-up: microwave instability? Simulations of a single bunch on the SPS flat top as a function of intensity using the SPS impedance model (including the vacuum flanges) compare with measurements Single bunch at the SPS flat top (meas. from AWAKE MD in 2012) Q20 – Double RF – V 200 = 2 MV (low voltage before bunch rotation) Good agreement of these measurements with particle simulations Signs of microwave (mw) instability Main contribution from the 1.4 GHz resonant impedance from the vacuum flanges from simulations: N th = 2x10 11 MD to find the mw instability threshold
Uncontrolled emittance blow-up: multi-bunch case Simulations for 6 bunches (25 ns spacing) at SPS flat top Intensity threshold as a function of bunch length for 1 & 6 bunches Q20 – Double RF – V 200 = 7 MV Qualitative agreement of simulations with measurements: N th of 6 bunches is ~ twice lower than of single bunch Only a few bunches are coupled, no coupled bunch modes indeed in measurements 25 ns and 50 ns spaced bunches are coupled, but batches spaced by 225 ns are decoupled N th increases with emittance MD for coupled bunch instability threshold 1 batch & different number of bunches
Large longitudinal emittance at SPS flat top Large longitudinal emittance at flat top (> 0.55 eVs or τ 4 σ > 1.8 ns) problem for losses in the LHC Three solutions are considered: 1) Bunch rotation on the SPS flat top 2) New SC 200 MHz RF system in the LHC 3) Reduce uncontrolled emittance blow-up by impedance identification and reduction
Bunch rotation at flat top (1/3) Already tried successfully for single high intensity ( ~ 2.5 - 3.0 x10 11 ) bunches (MD for AWAKE) but for very small emittance ( ε l ~0.3 eVs) Single bunch MD for AWAKE in 2012 N = 2.8x10 11 Bunch length (ns) Maximum needed voltage available only in 2020 Larger bunch tails more beam loss in the LHC ?
Bunch rotation at flat top (2/3) Starting rotation from V 200 = 5 MV and assuming V 200 = 10 MV available at flat top (2.3x10 11 p/b and Q20 optics) Simulations with the SPS impedance + FF and FB in the 200 MHz RF bunch position variation along the batch agrees very well with measurements Bunch position variation along the batch Measurements with half intensity N = 1.3x10 11 p/b Bunch rotation for LHC beam can be tested in the SPS with limited 200 MHz RF voltage
Bunch rotation at flat top (3/3) LHC capture with 6 MV: simulated bunch position variation in the LHC Buckets Bunch 36 Bunch 72 Bunch 1 J. Esteban Muller Particle Losses less than 1.5 % per bunch follow the beam loading effect of the SPS 200 MHz RF system pessimistic estimations Avg. bunch length, τ mean = 1.45 ns Possible MD on SPS – LHC transfer
New SC 200 MHz RF system in the LHC (more in talks of R. Calaga and R. Tomas, Session 6 - HL-LHC) Clean transfer between SPS and LHC Double RF system in the LHC better stability?, flat bunches, … Additional impedance in the LHC, reliability issues Double RF system operation in the LHC with all the complications (phase control,…)
Impedance identification (1/2) Efforts during the last 2 years to identify the impedance sources in the SPS ring Beam measurements Long bunches with RF off resonant impedance Synchrotron frequency shift inductive part 1.4 GHz Measurements and electromagnetic simulations of impedance for different devices/structures in the SPS ring Vacuum flanges Non-Shielded, enamelled BPH – QF ≈ 39 Enamelled QF – MBA ≈ 97
Impedance identification (2/2) Vacuum flanges are the best candidate with strong peak at f r = 1.4 GHz (observed also from beam measurements) with R/Q = 9 k Ω (different types,~ 500) Confirmed by particle tracking simulations: N th increases by a factor of 2 without the impedance of vacuum flanges More studies for confirmation as the main source of mw instability Group II Group I
Impedance reduction Reducing the longitudinal impedance will reduce the V ind and uncontrolled emittance blow-up most robust solution Preliminary ideas of reducing the impedance of the SPS vacuum flanges Partial shielding + damping R/Q reduction factor 8 could be achieved. Only Group I (half) could be acted upon. 15-30 weeks of work Flange redesign Minimum impedance . R/Q reduction factor 20. All flanges could be changed (≈550). 15 – 30 weeks of work Higher cost (new elliptical bellows, …)
Limitation during the ramp The situation after the upgrade of the SPS 200 MHz RF system (2x4 + 4x3) is assumed For beam stability from certain energy (depending on intensity, emittance and optics) we need to have controlled longitudinal emittance blow-up Power/cavity for 2.2x10 11 Voltage correction for PWD 4 sections power limit 3 sections power limit ε l = (0.4 – 0.7 eVs) ε l = (0.4 – 0.7 eVs) Optimistic scenario based on single bunch instability considerations maximum emittance 0.7 eVs scaled from single bunch
Longer acceleration cycle Power/cavity for 2.5x10 11 - Nominal Power/cavity for 2.5x10 11 - Longer 4 sections power limit 3 sections power limit ε l = (0.4 – 0.7 eVs) ε l = (0.4 – 0.7 eVs) Possible improvement by redesign of the magnetic cycle With twice longer acceleration cycle we can accelerate HL-LHC intensity but Dedicated LHC filling is 30% longer Average power increase in SPS More time for instability to grow
Intermediate transition energy Q22 If power limitation is still an issue with Q20 Beam stability is an issue for Q26 Intermediate transition energy with γ t = 20 (Q22) (see talk of H. Bartosik) Beam stability (single bunch simulations at SPS flat top) Double RF – V 200 = 7 MV For same emittance Q22 provides: Better stability compared to Q26 Worse stability compared to Q20
Intermediate transition energy Q22 Power consideration for longer acceleration cycle Power/cavity for 2.5x10 11 – Longer cycle Controlled emittance blow-up will be still needed for stability Longer cycle also necessary due to power limitations 4 sections power limit during ramp 3 sections power limit More margin in power compared to Q20 ε l = (0.425 – 0.8 eVs)
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