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Update on MEIC Nonlinear Dynamics Work
V.S. Morozov Teleconference on Nonlinear Dynamics April 7, 2015 F. Lin
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Arc CCB v1 Modified arc FODO lattice matched to regular arc FODO
Most compact design but functions are not optimal at the SXT1 locations Chromatic contribution x = and y = -5.5 Sextupole strengths required to compensate 100 units of x/y chromaticity: k2lsxt1/2 = 0.47/-1.77 Contributions to first-order geometric terms due to the phase advance between SXT1 not being exactly a finite value of x at SXT2 SXT1 SXT2 Re Im h21000 -0.83 -23.4 h30000 -2.49 -23.3 h10110 -0.07 -1.94 h10020 1.47 11.6 h10200 0.75 -13.7
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Arc CCB v2 Modified arc FODO lattice matched to regular arc FODO
Large dispersion and optimal functions at the sextupole locations Chromatic contribution x = -5.6 and y = -3.4 Sextupole strengths required to compensate 100 units of x/y chromaticity: k2lsxt1/2 = 0.175/-0.48 Contributions to first-order geometric terms due to the phase advance between SXT1 not being exactly a finite value of x at SXT2 SXT1 SXT2 Re Im h21000 -0.36 -9.36 h30000 -1.08 -9.32 h10110 -0.015 -0.38 h10020 5.38 3.67 h10200 5.58 -4.48
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Arc CCB v3 Modified arc FODO lattice matched to regular arc FODO
Phase advance between SXT1 adjusted to Chromatic contribution x = and y = -6.3 Sextupole strengths required to compensate 100 units of x/y chromaticity: k2lsxt1/2 = 0.31/-0.66 Contributions to first-order geometric terms due to a finite value of x at SXT2 SXT1 SXT2 Re Im h21000 0.04 h30000 -0.013 h10110 -0.18 h10020 1.85 0.09 h10200 2.04 -0.09
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Conclusions Arc CCB v3 looks most promising
Its chromatic contribution can perhaps be reduced by including more of the original FODO cells
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