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Update on MEIC Nonlinear Dynamics Work
V.S. Morozov Teleconference on Nonlinear Dynamics June 2, 2015 F. Lin
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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: / (can be adjusted) IP
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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: / -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, (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
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First Tracking Results
Using MAD-X PTC No synchrotron motion x = 23.4 m, y = 4.7 m, p/p = 310-4 p/p = 0 p/p = 3p/p
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Conclusions & Outlook DA with y = 0 looks good, DA with y ≠ 0 is small, may be close to a resonance Further work Track with synchrotron oscillations Benchmark Elegant Systematic tracking studies: tune scan, tune footprint, etc.
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