Vlasov description of the effects of nonlinear chromaticity on transverse coherent beam instabilities

被引：5

作者：

Schenk, M. ^{[1
,2
]}

Buffat, X. ^{[1
]}

Li, K. ^{[1
]}

Maillard, A. ^{[3
]}

机构：

[1] CERN, European Org Nucl Res, CH-1211 Geneva, Switzerland

[2] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland

[3] ENS, F-75230 Paris, France

来源：

PHYSICAL REVIEW ACCELERATORS AND BEAMS | 2018年 / 21卷 / 08期

关键词：

D O I：

10.1103/PhysRevAccelBeams.21.084402

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

This paper extends the existing Vlasov theory for transverse coherent beam instabilities to account for nonlinear chromaticity. It confirms the hypothesis that nonlinear chromaticity has two effects on the beam dynamics: (i) it changes the effective impedance which results in a modification of the coherent frequencies of the head-tail modes, and (ii) it can introduce betatron detuning with longitudinal action and provide Landau damping of transverse modes. Based on the new formalism, these two mechanisms are identified and studied analytically with both an airbag and a Gaussian beam. To complete the study, the theory is successfully benchmarked against the circulant matrix solver BimBim as well as the PyHEADTAIL macroparticle tracking code.

引用

页数：14

共 17 条

[1] Bartolini R., 1998, Technical Report No. SL-Note-98-017-AP
[2] Benedikt M., 2015, CERNACC20150164
[3] Bruning O., 2004, CERN-2004-003-V-1
[4] Buffat X., 2021, P ABP CEI M CERN GEN
[5] Chao A. W., 1993, PHYS COLLECTIVE BEAM
[6] Feedback system for elimination of the transverse mode coupling instability
Danilov, VV
Perevedentsev, EA
[J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1997, 391 (01) : 77 - 92
[7] Gareyte J, 1997, CERNLHCPROJECTREPORT
[8] Radio frequency quadrupole for Landau damping in accelerators
Grudiev, A.
[J]. PHYSICAL REVIEW SPECIAL TOPICS-ACCELERATORS AND BEAMS, 2014, 17 (01):
[9] Landau L.D., 1946, J. Phys. USSR, V10, P25, DOI DOI 10.1016/B978-0-08-010586-4.50066-3
[10] Fokker-Planck analysis of transverse collective instabilities in electron storage rings
Lindberg, Ryan R.
[J]. PHYSICAL REVIEW ACCELERATORS AND BEAMS, 2016, 19 (12):

← 1 2 →