Stability and transport properties of an intense ion beam propagating through an alternating-gradient focusing lattice

Lee, W.Wei-li; Qian, Qian; Davidson, Ronald C.

doi:10.1016/s0375-9601(97)00275-2

Cited by 32 publications

(22 citation statements)

References 7 publications

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“…Recently, the df formalism, a low-noise, nonlinear perturbative particle simulation technique, has been developed for intense beam applications and applied to matched-beam propagation in a periodic focusing field [23,24] and other related studies. The present paper reports recent advances in applying the df formalism to investigate nonlinear collective processes in intense charged particle beams.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams

Qin

Davidson

Lee

2000

Phys. Rev. ST Accel. Beams

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Collective processes in intense charged particle beams described self-consistently by the VlasovMaxwell equations are studied using a 3D multispecies nonlinear perturbative particle simulation method. The newly developed beam equilibrium, stability, and transport (BEST) code is used to simulate the nonlinear stability properties of intense beam propagation, surface eigenmodes in a high-intensity beam, and the electron-proton (e-p) two-stream instability observed in the Proton Storage Ring (PSR) experiment. Detailed simulations in a parameter regime characteristic of the PSR experiment show that the dipolemode two-stream instability is stabilized by a modest spread (about 0.1%) in axial momentum of the beam particles.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams

Qin

Davidson

Lee

2000

Phys. Rev. ST Accel. Beams

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show abstract

“…(1) and (2) is generally difficult analytically, although solutions to Eqs. (1) and (2) are accessible using nonlinear δf simulation techniques [22][23][24][25]. For present purposes, we consider a special case where considerable analytical simplification occurs in the analysis of Eqs.…”

Section: Space Densitymentioning

confidence: 99%

Kinetic Description of Intense Beam Propagation Through a Periodic Focusing Field for Uniform Phase-Space Density

Davidson¹,

Qin²,

Tzenov³

et al. 2003

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“…In the nonlinear δf formalism [23,24,25], we divide the total distribution function into two parts, f j = f j0 + δf j , where f j0 is a known equilibrium solution to the nonlinear Vlasov-Maxwell equations (1) and (2), and the numerical simulation is carried out to determine the detailed nonlinear evolution of the perturbed distribution function δf j . This is accomplished by advancing the weight function defined by w j ≡ δf j /f j , together with the particles' positions and momenta.…”

Section: Nonlinear δF Formalism For Vlasov-maxwell Systemmentioning

confidence: 99%

“…Recently, the δf formalism, a low-noise, nonlinear perturbative particle simulation technique for solving the Vlasov-Maxwell equations, has been developed for intense beam applications [23,24]. The 3D multispecies nonlinear δf formalism has been implemented in the newly developed Best Equilibrium Stability and Transport (BEST) code [25], which has been applied to a wide range of important collective processes in intense beams [25,26].…”

Section: Introductionmentioning

confidence: 99%

3D simulation studies of the two-stream instability in intense particle beams based on the Vlasov-Maxwell equations

Qin

Davidson²,

Startsev³

et al.

PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No.01CH37268)

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Two-stream instabilities in intense charged particle beams, described self-consistently by the nonlinear Vlasov-Maxwell equations, are studied using a 3D multispecies perturbative particle simulation method. The newly developed beam equilibrium, stability, and transport (BEST) code is used to simulate the linear and nonlinear properties of the electron-proton (e-p) two-stream instability observed in the Proton Storage Ring (PSR) experiment for a long coasting beam. Simulations in a parameter regime characteristic of the PSR experiment show that the e-p instability has a dipole-mode structure, and that the instability threshold descreases with increasing fractional neutralization, and increases with increasing axial momentum spread of the beam particles. In the nonlinear phase, the simulations show that the instability first saturates at a relatively low level, and subsequently grows to a higher level.

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Stability and transport properties of an intense ion beam propagating through an alternating-gradient focusing lattice

Cited by 32 publications

References 7 publications

Three-dimensional multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams

Three-dimensional multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams

Kinetic Description of Intense Beam Propagation Through a Periodic Focusing Field for Uniform Phase-Space Density

3D simulation studies of the two-stream instability in intense particle beams based on the Vlasov-Maxwell equations

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