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Detailed overview of bunch length measurement techniques, monitor requirements, and coherent radiation detectors for beam diagnostics in accelerator physics. Discusses calibration, precision measurement, and spectral power spectrum analysis.
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Steve Smith for J. Frisch, T. Borden, H. Loos, T. Montagne, M. Ross, D. Schultz, J. Wu, et al April 20, 2006
Applications of Bunch Length • Beam longitudinal profile for “accelerator physics” • Calibrated profile needed to understand machine • Measurement can be low rate, invasive • Bunch length signal for feedback • Non invasive • Signal at full repetition rate of beam • Only need an output which is monotonic and stable with respect to bunch length tuning phases
Bunch Length Monitor Requirements • After BC1: • 80 to 360 microns at 1nC • 130 – 600 GHz Gaussian width • 25 to 120 microns at 0.2nC • 400GHz – 2THz Gaussian width • After BC2: • 8 to 40 microns at 1nC • 1.2THz to 6 THz • 4 to 20 microns at 0.2nC • 2.4THz to 12 THz • Bunches not Gaussian frequency distribution will be somewhat different. • Goal for commissioning run: • Instrument and commission BC1 • Gain operational experience • Discussion here almost entirely for BC1
Measurement Options • Temporal • Works like a high speed oscilloscope. • Transverse deflection Cavity (LOLA) • Electro-optical measurement • Spectral • Measure power spectrum radiated by beam • Coherent radiation • Any kind: • Synchrotron • Edge • Diffraction • Gap • Spectral measurement does not include phase information is lost.
Precision Measurement • Transverse RF deflection structure (LOLA) • High resolution • directly calibrated • using known phase shifts. • Measurement from LOLA: • TTF at DESY • 4 micron resolution (13 fs) demonstrated • Intercepting 13 femtosecond FWHM spike! 1 picosecond • LOLA deflection cavity installed in LCLS will be used as the “Gold Standard” bunch length measurement • Beam physics experiments • Calibration of “spectral” detectors • Run LOLA at some slow rate (as needed) • to maintain calibration of non-intercepting bunch length monitors
Coherent Radiation Detectors • BC1 range is 100GHz to 1THz • (BC2 to 10THz) • Corresponds to the 100um to few mm wavelength range for BC1 • Two approaches: • Waveguides • Optics • Standard microwave waveguide techniques difficult above 10 GHz • near impossible at THz • Free space quasi-optical techniques difficult at longer wavelengths (mm) due to diffraction. • Materials absorption not well known in this frequency range. • Calibrated measurement difficult • Saved by LOLA • Use both free-space and waveguide technology at BC1
Spectral Measurements • Detect coherent radiation two ways: • CSR or Edge radiation in a bend • Coherent radiation from ceramic gap • Both provide order of a microJoule of energy. • CSR/edge radiation provides somewhat more power and lower divergence • easier to collect on the detector. • Radiation from last bend of BC1 available • BL11 is CSR/edge radiation detector • Easy to add ceramic gap downstream. • BL12 is gap radiation detector • Calibration of bunch length vs. spectral power: • difficult to do from first principles • but we have transverse cavity (LOLA) • As long as signal is monotonic and reproducible, we can do periodic calibrations • Eliminates the most serious problems with spectral detection.
Detectors • High performance mm-wave detectors are cryogenic. • Used for astronomy, etc. • Avoid cryogenics if possible • Room temperature detectors in principle have an energy sensitivity of Ethermal ~ kBT ~10-20J. • Real detectors much worse • Two common technologies: • Pyroelectric • Diodes
Diodes vs. Pyroelectrics • Diodes limited to ~750GHz • Diodes have better sensitivity • Diodes have worse dynamic range, ~10,000:1, but this is probably not a limit • Diodes more expensive ($5K at high frequencies), • rather than $500 (including preamplifier for pyro • Diodes are more damage sensitive.
Waveguide Attenuation • Waveguides available as small as WR-0.51 • Internal Dimensions: 130um X 65um • Frequency 1.4-2.2 THz • Attenuation can be very high for small waveguide • 3dB/M at 100GHz • 17dB/M at 300GHz • 100dB/M at 1THz • (attenuations from empirical fit to data) • Limits use of waveguide at high frequency
Waveguide vs. Free space Compare Rayleigh length for free space with sigma = .5cm relative to length for 10dB attenuation in Waveguide Approximate cross-over At 400GHz
Coherent Synchrotron Radiation • Narrow opening angle, large transverse size at end of magnet suggest use of free space optics to image onto detector. • Expect order of 1uJ collected on detector. • >1000X Pyroelectric sensor sensitivity. • No advantage to diodes here • Since free space optics works well at high frequencies, this seems a good solution for frequencies >~250GHz
Conceptual Design Diagnostics Focusing 200mm DR 10mm Bend ER Mirror Focusing f = 200mm SR 38mm 200mm
BL11 Bunch length monitor • Use CS/edge radiation • free space • pyroelectric detector. • Systems like this already in use • M. Hogan at SPPS • Retractable mirror in vacuum. • Use flat mirror • Off axis parabola would collect slightly more signal • but has difficult alignment issues • Slight modification of existing vacuum chamber and insertion design • Hole for beam passage • Small optical table for detector components • Insertable wavelength filters. • Alignment diode • has phase space similar to mm-wave radiation
BL 11 Quasi-Optical / Pyroelectric Monitor • Image coherent synchrotron & edge radiation on pyroelectric detector
BC1 Radiation Distribution • Wavelength 1mm • 200mm downstream of BC1 • Near field integration of “acceleration field” • Edge length « λγ² • Mainly ER from both bend edges, 4x larger than SR • Radiation from Entrance edge hits vacuum chamber Horizontal Pol. Vertical Pol.
Propagate Gauss-Laguerre Modes • Use Gauss-Laguerre modes with radial mode number 1 for field of each polarization • Needs γ/2 transverse modes to get correct far field distribution Horizontal polarization at magnet edge λ = 1cm γ = 500
CER Transmission Through Optics For one polarization, normalized to total 2π emission 3 cm-1 at detector 15 cm-1 3 cm-1 15 cm-1
Transverse Profile Through Optics 3 cm-1 15 cm-1
Is Interference of CER & CDR a Problem? • Get field at detector for CER and CDR • CDR is not focused on detector • Wave front curvature differs from CER • Intensity at detector shows narrow fringe pattern • Fringes much faster than changes in form factor • Conclusion: CDR can be ignored
Pyroelectric Detectors • Crystal which converts thermal directly to electrical output • LiTaO3 • “physics” is fast – nanosecond • coatings can slow down the detectors. • Integrate all input energy (DC-gamma rays) • Very good linearity up to damage threshold. • Act as current sources, approximately 1uC/J • Noise limited by preamplifier.
Pyroelectric Detector Sensitivity • ELTEC420m3 • 5mm diameter detector (20mm2). • 0.3 uC/Joule sensitivity • Detector capacitance Cd ~100 pF • A good charge preamplifier (Amptek A250F) should see 300 electrons RMS noise • based on 100pf capacitance • Corresponds to 0.15nJ detector noise. • Parts cost: • Detector $75 • Pre-amplfier about $500. • Threshold sensitivity ~ 7.5pJ/mm2
BL11 Bunch Length Monitor:Development Plan • Use of flat mirror in vacuum and existing chamber / mover design minimizes engineering before installation • Optics and detectors on table can be modified as needed • only humidity proof cover required • Serves as a model for the BC2 bunch length monitor • Short bunch length / high frequencies requires pyro detectors • allows for easy use of free space optics .
Radiation from Gap • 1 nC, 200micron bunch, 1cm gap gives about 2 uJ total energy • Calculations fro Juhao Wu • Radiation is distributed over a wide area – difficult to collect. • Corresponds to about 1.6nJ/mm2 for a 2cm radius gap • Pyroelectric detectors (7.5pJ/mm2) marginal (especially for a 0.2nC bunch). • Diode detectors (.03 to 0.4 pJ/mm2 depending on wavelength) look OK. • RF horn will gain 10-20dB in diode detectors • but probably lose 10dB in waveguide at high frequencies • Looks reasonable, limited by waveguide, and diode frequency response to frequencies below about 500GHz.
BL12 Bunch Length Monitor • Located just after the BL11 monitor • Uses gap and diode detectors • Only vacuum component is conventional ceramic gap • Initially instrument with 100GHz diodes • Add higher frequency diodes as needed • Diodes used in pairs to reduce effect of beam motion • 20cm waveguide used to disperse pulse (~1ns), keep peak power reasonable on diodes. • 20dB gain horns on diodes
RF Diode Detectors • Very fast diode to rectify the input signal • Vout Pin for input voltages < diode drop • Typically modest output impedance (~ few KOhm). • Linear output range limited to ~100mV. • Use waveguide dispersion to stretch mm-wave pulse to keep diode in linear range. • Very high sensitivity ~1V/W, or 1mC/J . • Typically connected to waveguide • Many vendors for F<~130GHz • Few (only Virginia diodes found so far) for higher frequencies up to ~800GHz.
RF Diode : 100 GHz • Millitech DXP-10 • WR10 input waveguide • Active area 3mm2. • 20dB gain horn available. • Approx 2KOhm output impedance • Output charge 0.15mC/J. • Capacitance small ~1pf. • Assume A250F charge amplifier • expect ~100 electrons noise • corresponds to 0.1pJ detector noise • Maximum linear signal ~500pJ • Cost ~$1K, preamplifier $500 • Threshold sensitivity 0.03 pJ/mm2 (energy density)
Microwave Diode at 300GHz • Virginia Diodes WR-2.2ZBD • WR-2.2 input waveguide • Active area 0.16mm2 • 20dB gain horn avaialble • Output impedance ~3KOhm • Output charge ~ 1mC/J • Capacitance small ~1pf. • With A250F charge amplifier, expect ~100 electrons noise, corresponds to 0.016 pJ detector noise. • Max linear signal 0.1nJ • Cost $5K, preamplifier $500 • Sensitivity 0.1pJ/mm2 Note, for 750GHz diode get threshold sensitivity ~0.4pJ / mm2
BL12 Development Plan • Similar diodes operating at 100GHz tested in End Station A. • Additional test in end station A in April 2006 • using same electronics as LCLS • Will use pair of diodes to check measurement noise. • Initial test in LCLS will be done with a pair of 100GHz detectors. • As shorter bunch length measurements are required, additional diodes and waveguide can be added • Use of optical breadboard makes installation of new diodes (on optical clamp mount) straightforward. • Will try using a pyroelectric detector mounted next to the gap. • Should be able to measure total mm-wave power • compare with toroid current measurement to get bunch length signal • Very simple and inexpensive system if it works. • In principal extends to very short bunch lengths • Must be calibrated with LOLA
Controls Interface • Pyroelectric detectors, and diodes will use very similar “nuclear physics” type charge sensitive preamplifiers • Signals can be read with a conventional GADC (gated ADC). • Initially will use SLC CAMAC ADC • Existing software for control and histories • Can provide slow feedback to main LCLS EPICS control system for feedback tests. • For high bandwidth feedback convert to EPICS GADC in VME. • Other controls interface is straightforward • pneumatic actuators • temperature monitoring
Summary • Two coherent radiation bunch-length monitors for BC1 • Measure bunch length every pulse • non-intercepting • BL11 • Quasi-optical • Pyroelectric readout • BL12 • Waveguide • Diode readout • Both are calibrated by transverse deflecting cavity