Preliminary studies of a chromaticity tracker

Tan, Cheng‐Yang

doi:10.2172/891085

Cited by 3 publications

(4 citation statements)

References 2 publications

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“…Although the CT works well with uncoalesced protons, there are some indications that all techniques which calculate the chromaticity by using phase locking (like the ones used at RHIC and the SPS mentioned in the Introduction) or modulation/demodulation in this paper have some dependence on transverse emittance. [4] This observation is being resolved right now and machine studies have been requested to study the frequency response of the beam which forms the underlying basis for all the PLLTT and CT measurement techniques mentioned in this paper.…”

Section: Resultsmentioning

confidence: 97%

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Chromaticity tracking with a phase modulation/demodulation technique in the Tevatron

Tan

2009

Nuclear Instruments and Methods in Physics Research Section A:

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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 betatron tune be a coherent signal that can be easily picked up by a phase detector. This is easily done because the Tevatron has a phase locked loop based tune tracker which coherently excites the beam at the the betatron tune.

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Section: Resultsmentioning

confidence: 97%

“…The theory has been completely worked out in other papers [3,4] and so only the relevant equations will be quoted here. McGinnis' method starts with the modulation of the RF frequencyφ RF (t) with a sinusoid, so that the phase of the RF at any time is given by…”

Section: Theorymentioning

confidence: 99%

Chromaticity tracking with a phase modulation/demodulation technique in the Tevatron

Tan

2009

Nuclear Instruments and Methods in Physics Research Section A:

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“…The amplitude of the 23 Hz oscillation is recovered by putting it through a Sliding Goertzel filter 4 which is a clever discrete Fourier transform. In particular, we are applying a 320 point Fourier transform.…”

Section: Methodsmentioning

confidence: 99%

The Tevatron Chromaticity tracker

Tan¹

2008

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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. Thus by phase demodulating the betatron tune, the chromaticity can be recovered. However, for the phase demodulation to be successful, it is critical that the betatron tune be a coherent signal that can be easily picked up by a phase detector. This is easily done because the Tevatron has a phase locked loop (PLL) based tune tracker which coherently excites the beam at the the betatron tune.

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“…The McGinnis method [1,2] In reality, we measure the betatron tune by taking the difference of the image current ∆ I between two plates of a pickup. This difference is …”

Section: Theorymentioning

confidence: 99%

Preliminary Studies Of A Phase Modulation Technique For Measuring Chromaticity

Tan¹

2006

AIP Conference Proceedings

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Abstract. The classical method for measuring chromaticity is to slowly modulate the RF frequency and then measuring the betatron tune excursion. The technique that is discussed in this paper modulates instead the phase of the RF and then the chromaticity is obtained by phase demodulating the betatron tune. However, this technique requires knowledge of the betatron frequency in real time in order for the phase to be demodulated. Fortunately, the Tevatron has a tune tracker based on the phase locked loop principle which fits this requirement. A preliminary study with this technique has showed that it is a promising method for doing continuous chromaticity measurement and raises the possibility of doing successful chromaticity feedback with it.

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Preliminary studies of a chromaticity tracker

Cited by 3 publications

References 2 publications

Chromaticity tracking with a phase modulation/demodulation technique in the Tevatron

Chromaticity tracking with a phase modulation/demodulation technique in the Tevatron

The Tevatron Chromaticity tracker

Preliminary Studies Of A Phase Modulation Technique For Measuring Chromaticity

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