Web1 de ago. de 2004 · Longitudinal space charge impedance. Let us consider longitudinal space charge field of a modulated beam (1) propagating in free space. This field can easily be calculated in the rest frame of the beam. We consider here the limit of “pencil” beam, when p=γ/(kσ ⊥)⪢1. Here, σ ⊥ is the rms transverse size of the beam, and γ is ... WebExperimental and numerical studies of space charge ef-fects in SIR conducted at Michigan State University in 2003-2004 revealed a fast, space-charge driven longitudi-nal instability [1],[2]. The instability was observed in the isochronous regime and also below transition (with a neg-ative slip factor). In the isochronous regime, the insta-
Nonlinear longitudinal space charge oscillations in relativistic ...
Web24 de ago. de 2024 · In typical numerical simulations, the space-charge force is calculated by slicing a beam into many longitudinal segments and by solving the two-dimensional Poisson equation in each segment. This ... Web22 de jul. de 2002 · @article{osti_799952, title = {Longitudinal Space Charge Effect in Slowly Converging/Diverging Relativistic Beams}, author = {Bane, Karl LF}, abstractNote … phila city paper
Transverse-longitudinal coupling by space charge in cyclotrons
Web2D (longitudinal) phase space [5,6] and are necessarily based on a simplified model of beam dynamics and, in particular, of space-charge effects. In this paper we discuss the simplified model of space charge proposed in [9] and adopted in [2,5,6]. This model assumes an infinitely long beam in free space with uniform WebThis permits the accurate reconstruction of longitudinal phase space density from one-dimensional bunch profile data. The method is a hybrid one which incorporates particle tracking. Hitherto, a very simple tracking algorithm has been employed because only a brief span of measured profile data is required to build a snapshot of phase space. WebLongitudinal Space-Charge Geometric Factor for an Elliptical Beam S. Koscielniak, TRIUMF∗, 4004 Wesbrook Mall, Vancouver, B.C., V6T 2A3, Canada Abstract The longitudinal space-charge impedance for a particle beam, for which the azimuthal extent is much longer than the transverse, is typically expressed[3] in terms of a geo-metrical … phila city holidays