2009
DOI: 10.1016/j.nima.2009.01.132
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Chromaticity tracking with a phase modulation/demodulation technique in the Tevatron

Abstract: The Tevatron chromaticity tracker (CT) has been successfully commissioned and is now operational. The basic idea behind the CT is that when the phase of the Tevatron RF is slowly modulated, the beam momentum is also modulated. This momentum modulation is coupled transversely via chromaticity to manifest as a phase modulation on the betatron tune. And so by phase demodulating the betatron tune, the chromaticity can be recovered. However, for the phase demodulation to be successful, it is critical that the betat… Show more

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Cited by 2 publications
(3 citation statements)
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“…The BTF for the two rf frequency changes AE40 Hz and the nominal rf frequency at zero frequency change are measured for both uncoalesced and coalesced beam. The phase of the BTF is recorded and used for the analysis because of the way linear chromaticity is measured with a phase locked loop (PLL) based chromaticity tracking system where only the ''zero'' crossings of the phase response matter [9]. Figures 6 and 7 show the typical phase of the BTF measurements for three different 0 changes.…”
Section: A Btf Experimentsmentioning
confidence: 99%
“…The BTF for the two rf frequency changes AE40 Hz and the nominal rf frequency at zero frequency change are measured for both uncoalesced and coalesced beam. The phase of the BTF is recorded and used for the analysis because of the way linear chromaticity is measured with a phase locked loop (PLL) based chromaticity tracking system where only the ''zero'' crossings of the phase response matter [9]. Figures 6 and 7 show the typical phase of the BTF measurements for three different 0 changes.…”
Section: A Btf Experimentsmentioning
confidence: 99%
“…Another fast technique allowing continuous measurement is based upon RF phase modulation/demodulation using dedicated Chromaticity Tracker (CT) hardware. When modulating the RF phase at a set amplitude and frequency, the chromaticity can be extracted from the relation Q' = η[(k+q 0 ) -hZ / Δ φ mod )], where Δφ mod is the amplitude of the phase modulation, Z is the measured amplitude of the demodulated phase signal, q 0 is the measured fractional tune from the Tune Tracker, η = 0.0029 is the momentum compaction factor, k = 448 is the mode number, and h = 1113 is the RF harmonic number [32]. 4ns) of a high intensity proton bunch in the Tevatron at 150 GeV vs turn number after a 1 mm vertical kick.…”
Section: Chromaticity Diagnosticsmentioning
confidence: 99%
“…b) (bottom) Horizontal and vertical chromaticity drifts in the Tevatron at 150 GeV (with imperfect compensation) as measured continuously by the Chromaticity Tracker. In the gray region, beam was injected and chromaticity set to 4 units in both planes [32].…”
Section: Chromaticity Diagnosticsmentioning
confidence: 99%