Author: Li, K.S.B.
Paper Title Page
WEO4AB01 Radio Frequency Quadrupole for Landau Damping in Accelerators. Analytical and numerical studies. 315
 
  • A. Grudiev, K.S.B. Li
    CERN, Geneva, Switzerland
  • M. Schenk
    LHEP, Bern, Switzerland
 
  It is pro­posed to use a radio fre­quency quadru­pole (RFQ) to in­tro­duce a lon­gi­tu­di­nal spread of the be­ta­tron fre­quency for Lan­dau damp­ing of trans­verse beam in­sta­bil­i­ties in cir­cu­lar ac­cel­er­a­tors. The ex­ist­ing the­ory of sta­bil­ity di­a­grams for Lan­dau damp­ing is ap­plied to the case of an RFQ. As an ex­am­ple, the re­quired quadrupo­lar strength is cal­cu­lated for sta­bi­liz­ing the Large Hadron Col­lider (LHC) beams at 7 TeV. It is shown that this strength can be pro­vided by a su­per­con­duct­ing RF de­vice which is only a few me­ters long. Fur­ther­more, the sta­bi­liz­ing ef­fect of such a de­vice is proven nu­mer­i­cally by means of the Py­HEAD­TAIL macropar­ti­cle track­ing code for the case of a slow head-tail in­sta­bil­ity ob­served in the LHC at 3.5 TeV.  
slides icon Slides WEO4AB01 [1.991 MB]  
 
THO3AB04 Modeling and Feedback Design Techniques for Controlling Intra-bunch Instabilities at CERN SPS Ring 399
 
  • C.H. Rivetta, J.D. Fox, O. Turgut
    SLAC, Menlo Park, California, USA
  • W. Höfle, K.S.B. Li
    CERN, Geneva, Switzerland
 
  Funding: Work supported by the U.S. Department of Energy under contract # DE-AC02-76SF00515 and the US LHC Accelerator Research Program (LARP).
The feed­back con­trol of in­tra-bunch in­sta­bil­i­ties dri­ven by elec­tron-clouds or strong head-tail cou­pling (trans­verse mode cou­pled in­sta­bil­i­ties –TMCI) re­quires band­width suf­fi­cient to sense the ver­ti­cal po­si­tion and apply mul­ti­ple cor­rec­tions within a nanosec­ond-scale bunch. These re­quire­ments im­pose chal­lenges and lim­its in the de­sign and im­ple­men­ta­tion of the feed­back sys­tem. This paper pre­sents model-based de­sign tech­niques for feed­back sys­tems to ad­dress the sta­bi­liza­tion of the trans­verse bunch dy­nam­ics. These tech­niques in­clude in the de­sign the ef­fect of noise and sig­nals per­turb­ing the bunch mo­tion. They also in­clude re­al­is­tic lim­i­ta­tions such as band­width, non­lin­ear­i­ties in the hard­ware and max­i­mum power de­liv­er­able. Ro­bust­ness of the sys­tem is eval­u­ated as a func­tion of pa­ra­me­ter vari­a­tions of the bunch.
 
slides icon Slides THO3AB04 [2.153 MB]