Emittance growth rates for displaced beams

Anderson, O.A.

doi:10.1007/bf02821257

Cited by 2 publications

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various studies have applied and extended Sacherer's pioneering work in interpreting space-charge resonance effects in rings [7][8][9]. Anderson showed that in a cold, laminar beam limit all initial density perturbations on a uniform density sheet beam are transferred to velocity space in a quarter plasma oscillation period [10]; he also estimated emittance growth rates due to centroid displacements using a sheet-beam model [11]. Analytic descriptions of collective modes in sheet beams have been derived for a continuously focused waterbag (i.e., uniform phase-space) distribution by Startsev and Davidson [12] and by Okamoto and Yokoya for approximate waterbag distributions in both continuous and periodic focusing [8,13].…”

Section: Introductionmentioning

confidence: 99%

Sheet beam model for intense space charge: Application to Debye screening and the distribution of particle oscillation frequencies in a thermal equilibrium beam

Lund

Friedman

Bazouin

2011

Phys. Rev. ST Accel. Beams

View full text Add to dashboard Cite

A one-dimensional Vlasov-Poisson model for sheet beams is reviewed and extended to provide a simple framework for analysis of space-charge effects. Centroid and rms envelope equations including imagecharge effects are derived and reasonable parameter equivalences with commonly employed 2D transverse models of unbunched beams are established. This sheet-beam model is then applied to analyze several problems of fundamental interest. A sheet-beam thermal equilibrium distribution in a continuous focusing channel is constructed and shown to have analogous properties to two-and three-dimensional thermal equilibrium models in terms of the equilibrium structure and Debye screening properties. The simpler formulation for sheet beams is exploited to explicitly calculate the distribution of particle oscillation frequencies within a thermal equilibrium beam. It is shown that as space-charge intensity increases, the frequency distribution becomes broad, suggesting that beams with strong space-charge can have improved stability relative to beams with weak space-charge.

show abstract