Update on MEIC Nonlinear Dynamics Work V.S. Morozov Teleconference on Nonlinear Dynamics April 7, 2015 F. Lin

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 = -10.3 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

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

Arc CCB v3 Modified arc FODO lattice matched to regular arc FODO Phase advance between SXT1 adjusted to  Chromatic contribution x = -12.2 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

Conclusions Arc CCB v3 looks most promising Its chromatic contribution can perhaps be reduced by including more of the original FODO cells