Update on MEIC Nonlinear Dynamics Work

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Presentation transcript:

Update on MEIC Nonlinear Dynamics Work V.S. Morozov Teleconference on Nonlinear Dynamics April 21, 2015 F. Lin

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 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

Complete Ring Lattice Two identical CCBs integrated: one upstream and one downstream Original (without CCBs) natural x/y chromaticities: -101 / -112 Resulting (with CCBs) natural x/y chromaticities: -121 / -120 The strongest quad in the CCB is ~50% stronger than a regular FODO quad Resulting x/y betatron tunes: 25.598 / 23.733 (can be adjusted) IP

Chromaticity Compensation W functions minimized at the IP and around the ring by tuning the phase advance between the CCBs and the IP (using thin trombones) the sextupole strengths in the CCBs 4 families (two –I pairs and two individual sextupoles) with k2l = -0.10, 0.23, 0.19, -0.37 residual linear x/y chromaticities: -28.5 / -29.1 Residual chromaticities compensated using 2 additional sextupole families 24 sextupoles per family (12 sextupoles of each family in 12 adjacent FODO cells per arc) 90 phase advance between adjacent sextupoles of each family resulting sextupole strengths k2l = 0.25, -0.49 (in the arc with positive dispersion, polarities reversed in the other arc) final ring x/y chromaticities adjusted to +1 / +1 no effect on the W functions outside of the 12 FODO cell blocks before compensation after W function adjustment after residual chromaticity compensation

Higher-Order Chromatic Effects Chromatic tune dependence x,y < 0.02 within |p/p| < ~7p/p Chromatic dependence of *

Conclusions and Outlook Looks okay so far Consistent with Min-Huey’s and Yuri’s earlier result Further work Tracking (have been having some issues with Elegant, will probably use PTC in MAD-X) Optimization 60 FODO cells Uninterleaved sextupoles for residual chromaticity compensation Adjusting the upstream and downstream CCBs independently Upstream CCB only (at the expense of chromatic beam smear at the IP)