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Evaluation of 1GHz vs 2GHz RF frequency in the damping rings. Yannis PAPAPHILIPPOU and Alexej Grudiev. April 16 th , 2010. Background. Baseline : RF frequency of 2GHz, 1 train of 312 bunches spaced by 0.5ns produced and transmitted along injector complex and DRs. But:
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Evaluation of 1GHz vs 2GHz RF frequency in the damping rings Yannis PAPAPHILIPPOU and Alexej Grudiev April 16th, 2010
Background • Baseline: RF frequency of 2GHz, 1 train of 312 bunches spaced by 0.5ns produced and transmitted along injector complex and DRs. But: • Power source and RF design needs R&D (high-peak power, short train, transient beam loading) • Alternative solution: RF frequency of 1GHz with 2 trains of 156 bunches and bunch spacing of 1ns, separated by half the damping ring circumference minus the length of a train • A delay line with an RF deflector is needed downstream of the DRs for recombining the two trains and providing the nominal 2GHz bunch structure.
1 vs. 2GHz in the PDR • Larger bunch spacing (1 vs. 0.5 nm) halves harmonic number (1326 vs. 2581), and increases momentum acceptance by 40% (1.7 vs. 1.2%), thereby making the capture efficiency of the positron beam even better • For keeping the same momentum acceptance, the RF voltage can be reduced (~10 vs. 6.8MV) • All the rest of the parameter changes are the same as for the damping rings
New DR parameters * The ring circumference was shortened after relaxing longitudinal parameters in order to reduce space-charge ** Using Bane approximation. Piwinski theory gives (310,4.4,6100)
Damping rings (I) • In the DRs, the harmonic number reduction, raises the equilibrium longitudinal emittance (bunch length). • In order to keep it to the same level (IBS effect), the RF voltage should be increased reducing stationary phase (RF bucket becomes more linear). • For shorter ring (space charge reduction), stationary phase gets increased (quite big for 2GHz), i.e. voltage should be increased and momentum compaction factor reduced (relaxing arc cell focusing) • Extraction kicker rise time becomes smaller but it is still long enough (~550ns). This might eliminate the possibility to use IGBT switches. • The 2-train structure may require two separate extraction kicker systems (two pulses of equal size and flat top of 160ns as in the present case) or one kicker with a longer flat top (1μs). • RF frequency of 1GHz is closer to existing high-power CW klystron systems used in storage rings or designed for NLC damping rings (714MHz). An extrapolation of this design should be straightforward. • Larger bunch spacing reduces peak current and power by a factor of 2 (beam loading reduction)
Damping rings (II) • The e-cloud production and instability is reduced with the larger bunch spacing. • In the e- rings, the fast ion instability will be less pronounced due to the larger bunch spacing by doubling the critical mass above which particles get trapped (not allowing the trapping of H2O+ and probably CO+). The reduced number of bunches per train will reduce the central ion density, the induced tune-shift and will double the rise time of the instability, thus relaxing the feedback system requirements. • A bunch-by-bunch feedback system is more conventional at 1 than at 2 GHz • The parameters corresponding to CLIC@1TeV are not compatible with the 1GHz train structure and need to be re-worked in order to prevent the luminosity reduction
Delay line layout • Two configurations: an α-shape (as in CTF3) or an Ω-shape • In the α-shape the same RF deflector can be used for both injection and extraction (maybe also jitter feedback), whereas the Ω-shapeshould use 2RF deflectors or a kicker and RF deflector α-delay line Ω-delay line RF deflector RF deflector RF Deflector / kicker
Delay line layout II • The α-shape has a circumference equal to half the damping ring length (~210m) • It can be inserted in between the damping rings in order to be used for both electrons and positrons with a delay of ~1DR revolution time • The Ω-shapeis larger by the length of the (straight) line between the injection and the extraction point • It can be divided in 3 arcs with opposite bending angle satisfying the relationship • There is a geometrical relationship imposed to the length of the straight line depending on the bending angles and the arcs radii • The optics can be tuned to be isochronous for not perturbing the longitudinal beam characteristics
Delay line impact • Delay line does not contribute to emittance growth due to incoherent or coherent synchrotron radiation due to low energy and relatively short length • Any systematic trajectory errors corrected by orbit correctors and proper choice of optics functions and phase advances. • The systematic energy loss will be roughly half of the damping rings (~same energy and bending radius), i.e. 500keV, which is around 0.16% of energy difference. Corrected with RF cavities of a few hundred kV. • Can be used for timing jitter feedback if special optics used • Main issue: stability of RF deflector for keeping (horizontal) emittance growth small (<10% of the beam size). • Experience with the CTF3 RF deflectors instrumental for determining and achieving the requested tolerances
RF deflector stability • The angular deflection of the kicker is defined as • Large beta functions and π/2 phase advance necessary for minimizing kicks • Injected beam position at the septum • Typically, injection is dispersion free • Number of injected beam sizes set to Nx=6-10 • The thickness of the septum cannot be smaller than 2-3mm • Kicker jitter produces a beam displacement transmitted up to the IP. • Typically a tolerance of σjit ≤0.1σxis needed • Translated in a relative deflection stability requirement as • As beam size is around 10-5 m,position at the septum dominated by septum thickness • The tolerance remains typically a few 10-3 (more relaxed for larger beam sizes and lower septum thickness) • Maybe a double RF deflector system can further relax the tolerance
RF system @ 1 vs 2GHz 1 or 2 GHz, pros and cons
Recommendation • The 1GHz frequency in the damping rings is easing beam dynamics in the CLIC DR and drives the RF system to more conventional parameters • The added complication of the train interleaving regarding the RF deflector jitter does not seem a show-stopper as: • A conceptual design of the delay loop has been already worked and will be further refined for the CDR • Typically the RF deflector power source in CTF3 have shown stability of around 10-3 • The jitter in beam position can be further studied in CTF3 and measurements can back up this choice for the CLIC CDR • The parameters for CLIC@1TeV have to be reworked to be compatible with the 1GHz frequency • It is recommended thus to choose as baseline in the CLIC DR an RF frequency of 1GHz • A conceptual design for the 2GHz RF system has to be undertaken in parallel as a back-up solution