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Next Linear Collider Beam Position Monitors Steve Smith SLAC Interaction Point Beam Instrumentation Study June 26, 2002. NLC Linac BPMs. “Quad” BPM (QBPM) In every quadrupole (Quantity ~3000) Function: align quads to straight line Measures average position of bunch train
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Next Linear ColliderBeam Position MonitorsSteve SmithSLACInteraction PointBeam Instrumentation StudyJune 26, 2002
NLC Linac BPMs • “Quad” BPM (QBPM) • In every quadrupole (Quantity ~3000) • Function: align quads to straight line • Measures average position of bunch train • Resolution required: 300 nm rms in a single shot • Structure Position Monitor (SPM) • Measure phase and amplitude of HOMs in accelerating cavities • Minimize transverse wakefields • Align each RF structure to the beam • Few 104 devices in the two linacs • Not used in Interaction Region • “Multi-Bunch” BPM (MBBPM) • Measure bunch-to-bunch transverse displacement • Compensate residual wakefields • Measure every bunch, 1.4 ns apart • Requires high bandwidth (300 MHz), high resolution (300 nm) • Line up entire bunch train by steering, compensating kickers • Intra-Train Feedback BPM
BPM Cavitywith TM110 Couplers • Dipole frequency: 11.424 GHz • Dipole mode: TM11 • Coupling to waveguide: magnetic • Beam x-offset couple to “y” port • Sensitivity: 1.6mV/nC/m • (1.6109V/C/mm) • Couple to dipole (TM11) only • Does not couple to TM01 • Compact • Low wakefields Port to coax Zenghai Li
Parameter Value Comments Cavity BPM Parameters Dipole frequency 11.4 GHz Monopole frequency 7.66 GHz Cavity Radius 16 mm Wall Q ~4000 Ignoring beam duct, etc Cavity coupling = 3 Loaded Q 1000 Bandwidth 11 MHz Beam aperture radius 6 mm Sensitivity 7 mV/nC/mm (too much signal!) Bunch charge 0.7 x 1010 e- Per bunch Signal power @ 1mm - 29 dBm Peak power Decay time 28 ns Required resolution = 200 nm Required Noise Figure 57 dB For = 100 nm, thermal only Wakefield Kick 0.3 volt/pC/mm Long range Structure wakefield kick ~2 volt/pC/mm Per structure Short-range wakefield ~1/200th of structure
Multi-Bunch BPMs • Stripline pickups • Report position of every bunch in bunch train • Used to program broadband kickers to straighten out bunch train
Energy from BPMs • Dispersion: • How energy deviation translates into transverse beam motion x pp • Where is the dispersion • ~ 20 – 80 mm • BPM stability of ~ 1 m energy measurement of ~ 10-5 • But BPM measures mean position of charge of bunch • Transverse tails? • Energy tails? • 1% of charge off energy by 1% error of 10-4. • Need luminosity weighted energy • Get charge-weighted energy
Luminosity from BPMs • BPMs measure beam-beam deflection angle • Deflection angle depends on beam size, charge, beam offsets, angles, bunch length,… • But luminosity is given by sx, sy: L = • Can be difficult to extract true L from deflection. • Really need luminosity monitor that measures collision processes. • Deflection measurement is crucial for optimization, feedback, spot size measurement, etc.
Beam-Beam Deflection “Guinea Pig” simulation provided by A. Seryi Slope at Large Offset Initial Slope
Beam-Beam Deflection Slope 40 mm focal length!
Power of Deflection Measurement • Beams see 40 mm focal length lens (at < 1 sy offset) • Image distance 4 meters • Magnification of 4m/40 mm = 105 • BPM resolution of 1 mm • beam offset resolution of 1 mm / 105 = 10 pm (!) • Confounded by • Tails • Angle jitter • Rotation • Dilution of 100 beam–beam offset resolution ~ 1nm
Beam-Beam Scans • Important diagnostic • Spots sizes • Alignment • Waists • Etc. etc. etc… • Some Limitations: • Takes lots of time at one measurement per pulse train • Sensitive to drifts over length of scan • i.e. low frequency noise, ground motion, damping ring jitter. • Can we do a scan in one bunch train? • Increase utility of diagnostic by increasing speed • Reduce sensitivity to drift and low frequency noise • Yes • Assuming existence of Intra-train IP feedback.
IP Intra-Train Feedback BPM • Interaction Point Intra-Train Feedback BPM • IP only • Much like Multibunch BPM • Critical difference: • Very short propagation delay • Close loop in ~ 40 ns < 250 ns train passage time. • Other differences: • Half the bandwidth • Don’t care about bunch-bunch motion • feedback only makes bunch-bunch motion worse!
Intra-Train Feedback • Vertical spot size comparable to ground motion • Small beam size luminosity sensitive to beam jitter • We can measure extremely small inter-beam offsets via beam-beam deflection • Can we make a feedback fast enough to correct beam-beam mis-alignment within the 265 ns bunch-crossing time? • System consists of a fast position monitor, kicker, and feedback regulator. • Old-fashioned analog feedback.
Intra-Pulse Feedback 14 ns 14 ns
Intra-Train Feedback • Fix interaction point jitter within the crossing time of a single bunch train (265 ns) • BPM measures beam-beam deflection on outgoing beam • Fast (few ns rise time) • Precise (micron resolution) • Close (~4 meters from IP?) • Kicker steers incoming beam • Close to IP (~4 meters) • Close to BPM (minimal cable delay) • Fast rise-time amplifier • Feedback algorithm is complicated by: • round-trip propagation delay to interaction point in the feedback loop • Response non-linearity of beam-beam defelction for flat beams
Limits to Beam-Beam Feedback • Must close loop fast • Propagation delays are painful • Beam-Beam deflection is non-linear • Feedback gain drops like 1/d for large offsets • Feedback converges too slowly beyond ~ 30 s to make a recover luminosity • Can fix misalignments of 100 nm with modest kicker power
Intra-Train Feedback • Setup critical: • IT Feedback holds outgoing beam to a position setpoint • Other hardware required to establish/maintain proper setpoint • Multibunch BPM readout of IT feedback, symmetric pickups • Higher bandwidth • Better resolution • Better stability • (SLOW) • Response of beam to FB drive contains diagnostic information • Need deflection vs. bunch digitized and logged
Single-Pulse Beam-Beam Scan • Fast BPM and kicker needed for interaction point stabilization • Open the loop and program kicker to sweep beam • Digitize fast BPM analog output • Acquire beam-beam deflection curve in a single machine pulse • Eliminates inter-pulse jitter from the beam-beam scan. • Noise is all at low frequency • Use to • Establish collisions • Measure IP spot size • Waist scans • What else?
Beam-Beam Scan Beam bunches at IP: blue points BPM analog response: green line
IP Beam Position Monitors • Stabilize collisions • Measure spot sizes • Diagnostics