PPT-ILC Damping rings

G Dugan PAC TDR review 121312 Dec 13 2012 ILC Damping Rings 1 Outline Requirements Configuration parameters operating modes Lattice Beam dynamics issues Emittance tuning and nonlinear effects. Response to Damping As we saw the unfor ced damped harmonic oscillator has equation 0 1 with 0 0 and 0 It has characteristic equation 2 0 with characteristic oots 2 2 Ther e ar e thr ee cases depending on the sign of the expr ession u Natural frequency and damping ratio Well consider the second order homogeneous linear constant coe57358 cient ODE bx cx with positive spring constantmass In the absence of damping term this spring constant wo General . L. inear . B. eam Dynamics. S. Guiducci, INFN-LNF. Seventh International Accelerator School for Linear Colliders . Hosted by Raja . Ramanna. Centre for Advanced Technology. 4 December 2012. orderspin-orbitresonanceat4.8GeV.Seeforexampleg.1in[4].AsimilarconclusionemergesfromsimulationswithSLICKTRACKforthe(newer)OCS6latticeat5.0GeV.Thesimulationswereperformedbothforasmallenergyspread(45K Good Vibrations:. Standing waves can be produced on a string fixed at both ends if the length of the string . L. is a multiple of half the wavelength . l. ,. so that the ends of the string are nodes. These waves are called “harmonics” and are identified by “. ILC DR Technical Baseline Review. Frascati. , July 8, 2011. Mark Palmer. Cornell University. DTC Magnet Counts. Element. Length[m]. Strength. Number. Arc Dipoles . 3. 2.28. . kG. 150. Circumference changing. . is a dissipation . of. . energy from a vibrating structure. .. The . term dissipate is used to . mean. . the transformation of . mechanical. . energy into other form of energy and, therefore, a removal . Describe . examples of damped oscillations.. . Need to know. - It is sufficient for students to know that damping involves a force that is always in the opposite direction to the direction of motion of the oscillating particle and that the force is a dissipative force.. Mauro Pivi CERN/SLAC. CLIC Collabortion Meeting CERN 9-11 May 2012. Thanks . to:. F. . Antoniou, . Y. Papaphilippou . (. CERN) T. Demma (LAL), A. Chao (SLAC). (Supplemental to . LHO aLOG 6392. ). J. Kissel. G1300561-v1. 1. G1300537-v2. 2. aLIGO BSFM "Level 2" Damping Loop Design. Mission Statement. The damping loops installed during the SUS testing phase . Lawrence Berkeley National Laboratory. John Byrd. Topical Workshop on Instabilities, Impedances and Collective Effects. 17 January 2014. Acknowledgements. Stefano De . Santis. Matthias . Georgsson. . Yannis . PAPAPHILIPPOU. Accelerator and Beam Physics group. Beams Department. CERN. Ninth International Accelerator School for Linear Colliders. 26 October – 6 November 2015, . Whistler BC, Canada. Yannis . PAPAPHILIPPOU. Accelerator and Beam Physics group. Beams Department. CERN. Ninth International Accelerator School for Linear Colliders. 26 October – 6 November 2015, . Whistler BC, Canada. 2.. . Polynomial and Euclidean Rings. 3.. . Quotient Rings. 1. 1. Rings, Integral Domains and Fields. 1.1.Rings. 1.2. Integral Domains and Fields. 1.3.Subrings and Morphisms of Rings. 2. 1. Rings, Integral Domains and Fields.