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Sayama, Shoko; Yaguchi, S; Isaka, Keiici; Takayama, M.; Soma, Hiroaki

doi:10.2491/jjsth1970.15.201

Cited by 3 publications

(5 citation statements)

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“…In order to manifest the pure effects of the longitudinal beam dynamics on the droop, nonlinear kinematic terms [6,7] are not taken account of in this paper. A set of difference equations, Eqs.…”

Section: A Difference Equation For Induction Accelerationmentioning

confidence: 99%

Beam-dynamic effects of a droop in an induction accelerating voltage

Shimosaki

Nakamura

Takayama

et al. 2004

Phys. Rev. ST Accel. Beams

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Proof-of-principle experiments on the induction synchrotron concept are scheduled using the KEK 12-GeV proton synchrotron, in which rf bunches and a superbunch will be accelerated with a long step voltage generated in the induction accelerating gaps. An unavoidable droop in the induction voltage gives an additional focusing or defocusing force in the longitudinal direction. It largely deforms the barrier bucket confining the superbunch, leading to a nonuniform particle distribution. The effects are serious in an induction synchrotron with a transition energy. Longitudinal emittance blowup beyond the transition energy is not acceptable. The necessity of compensating for the droop is discussed.

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Section: A Difference Equation For Induction Accelerationmentioning

confidence: 99%

Beam-dynamic effects of a droop in an induction accelerating voltage

Shimosaki

Nakamura

Takayama

et al. 2004

Phys. Rev. ST Accel. Beams

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“…parametrizes the Johnsen effect, representing the fact that particles with different momenta cross transition at different times [5,6]. For a particle at the edge of the beam, i.e., at max , transition crossing is delayed or advanced by T nl .…”

Section: Introductionmentioning

confidence: 99%

Commissioning of a first-order matched transition jump at the Brookhaven Relativistic Heavy Ion Collider

Montag

Kewisch

2004

Phys. Rev. ST Accel. Beams

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When accelerating gold ions in the Relativistic Heavy Ion Collider (RHIC) the transition energy must be crossed. For this purpose, RHIC uses a set of correction quadrupoles and special power supplies which can reverse polarity in less than 40 ms. These quadrupoles are used to produce dispersion bumps which increase the transition energy as the beam approaches transition. The change of polarity will then jump the transition energy across the beam energy. This paper describes the commissioning of the RHIC first-order matched transition crossing system.

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“…Asymmetric bunch stretching in the phase space caused by nonlinear kinematics effects (Johnsen effects [2]) becomes significant. Succeeding bunch shape mismatching beyond TC is inevitable due to time irreversibility of these nonlinear kinematics terms about rf phase jump [3]. Space-charge effects are also other sources of mismatching beyond the TE [4].…”

mentioning

confidence: 99%

“…3 for a fixed beam current of N 5 3 10 11 . Non linear kinematics effects are responsible for a change in the emittance under the condition of the small g t jump [3]; that is, dg t ͞dt 0 2 3 10 2 ͞sec where asymmetric bunch stretching and associated mismatching are significant. The synergism of both effects should be dominant in this region.…”

mentioning

confidence: 99%

“…(1), (2), and (3) e is the unit charge, V is the integrated accelerating voltage of 92 kV, c is the velocity of light, Z 0 is the impedance of vacuum (377 V), the geometric factor g 0 1 1 2 ln͑b͞a͒ (a,b: averaged beam͞chamber radius, 1.5 cm͞5.5 cm), h is the harmonic number, C 0 is the ring circumference of 340 m, E s , g s , and b s are the energy, relativistic gamma, and normalized velocity of the synchronous particle, respectively, l͑f͒ is the beam line density, a 0 and a 1 are the linear and second-order momentum compaction factors, respectively [3,6], TTF is the transit-time factor of the RS, v l , and v 0 l ͑ ͑ ͑ v l ͞R͓1 2 ͑1͞͞2Q 2 ͔͒ ഠ v l ͒ ͒ ͒ are the angular frequency of the RS, and M is the number of the RS, 56. The integration form is essentially identical to the usual form written in the term of the longitudinal wake function W 0 ͑f͒ [5],~R Simulation results.-Using a set of typical parameters close to that in the experiments, the temporal evolution of a bunch was numerically obtained by tracking based on Eqs.…”

mentioning

confidence: 99%

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