1992
DOI: 10.1063/1.42289
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The 1991 dynamic aperture experiment at the CERN SPS

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Cited by 10 publications
(11 citation statements)
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“…In this model, the mapping Equation (2) has been eliminated; instead, each particle has been described by a constant tune determined by its initial amplitude a = JX 2 + y2 +pi +p~. The tune shift dependence 811(r) has been calculated using the first-order term of the perturbation theorya 811(a) =~~(1-1°(:) ex p ( -: ) ) , (9) where 1 0 is the zero-order modified Bessel function. This case differs in many respects from the nonlinear model because each particle represents a linear oscillator so that nonlinear resonances are eliminated from the particle dynamics.…”
Section: Simulations Results For the Basic Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…In this model, the mapping Equation (2) has been eliminated; instead, each particle has been described by a constant tune determined by its initial amplitude a = JX 2 + y2 +pi +p~. The tune shift dependence 811(r) has been calculated using the first-order term of the perturbation theorya 811(a) =~~(1-1°(:) ex p ( -: ) ) , (9) where 1 0 is the zero-order modified Bessel function. This case differs in many respects from the nonlinear model because each particle represents a linear oscillator so that nonlinear resonances are eliminated from the particle dynamics.…”
Section: Simulations Results For the Basic Modelmentioning
confidence: 99%
“…The main reason for this growth is that the spectral density of external perturbation grows rapidly with frequency, decrease and this generates a larger emittance growth. 9 Required BPM resolution was calculated with the use of Equation (18) is canceled in the equation.…”
Section: Discussionmentioning
confidence: 99%
“…Typically, a few distinct frequencies feature much higher amplitudes and therefore, the focus of these studies was also to highlight the impact of a few distinct frequency lines. It was derived theoretically [8] as well as proven experimentally [4,5] that several frequencies in the noise spectrum are significantly more harmful than a single one. This knowledge was then applied to the LHC [11] and more recently to the HL-LHC [12][13][14] resulting in strict tolerances for the noise generated by the power converters.…”
Section: Introductionmentioning
confidence: 98%
“…All these magnets are installed at locations with high beta function and the beam is therefore particularly sensitive to any changes in the magnetic field of these magnets. The impact of the field fluctuations due to power supply noise, or the so called ripple, on the beam lifetime has been studied in the past in particular at the Super Proton Synchrotron (SPS) at CERN [4][5][6][7], the Hadron Electron Ring Facility (HERA) at DESY [8,9] and the TEVATRON at FERMILAB [10]. In the case of the SPS a tune ripple of 10 −4 turned out to be acceptable while experiences at HERA showed that a tune ripple of 10 −5 for low frequencies and 10 −4 for high frequencies could lead to a significant decrease in lifetime.…”
Section: Introductionmentioning
confidence: 99%
“…Several experiments, which used the diffusion process, had been performed at different accelerators to measure the acceptance or the dynamic aperture. The particle diffusion was obtained by either using noise applied transversely to the beam [7] or using the ripple in the field of the magnets [8]. The latter method led to a stochastic detuning of the particles which generates transverse diffusion.…”
Section: Introductionmentioning
confidence: 99%