IntraBeam Scattering Calculation

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Presentation transcript:

IntraBeam Scattering Calculation T. Demma, S. Guiducci 27 January 09

Calculations procedure Evaluate equilibrium emittances ei and radiation damping times ti at low bunch charge Evaluate the IBS growth rates 1/Ti(ei) for the given emittances, averaged around the lattice, using K. Bane approximation (EPAC02) Calculate the "new equilibrium" emittance from: For the vertical emittance use* : where r varies from 0 (y generated from dispersion) to 1 (y generated from betatron coupling) Iterate from step 2 * K. Kubo, S.K. Mtingwa, A. Wolski, "Intrabeam Scattering Formulas for High Energy Beams," Phys. Rev. ST Accel. Beams 8, 081001 (2005)

Bane's approximation K. Bane, “A Simplified Model of Intrabeam Scattering,” Proceedings of EPAC 2002, Paris, France (2002)

ILC Damping Ring OCS Parameters Energy (GeV) 5 Circumference (m) 6114 N particles/bunch 2x10-10 Damping time x (ms) 22 Emittance gex (nm) 5500 Emittance gey (nm) 20 Momentum compaction 1.6 x10-4 Energy spread 1.3x10-3 Bunch length (mm) 6.0 To check the code the IBS effect calculated for the ILC damping ring OCS lattice has been compared with the results for the configuration options

Results for ILC damping ring configuration options OCS conf. options OCS this calculation N/bunch 2 1010 xibs/x0 1.2 1.23 yibs/y0 @ r=0.5 1.1 1.12 pibs/p0 1.01 libs/l0 A. Wolski

SuperB parameters h[nm] v [pm] s [mm] p/p h/ s [ms] E[Gev] HER 7 1.6 4 5 5.8e-4 40/20 LER 2.8 8e-4

IBS Horizontal emittance growth vs IBS Horizontal emittance growth vs. number of particles/bunch for r = 0, 0.5, 1

IBS vertical emittance growth vs IBS vertical emittance growth vs. number of particles/bunch for r = 0, 0.5, 1

IBS relative momentum spread growth vs IBS relative momentum spread growth vs. number of particles/bunch for r = 0, 0.5, 1

Conclusions Next steps: Retune the arc cells to get the nominal emittance with the IBS Add some wigglers to get the nominal emittance with the IBS In any case only minor modifications are needed since the emittance growth is quite small Both HER and LER have ~ the same emittance growth: an optimum parameter choice