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Post-merge Guggenheim stage 12 R.C. Fernow BNL AAG Thursday Meeting 27 December 2012

Post-merge Guggenheim stage 12 R.C. Fernow BNL AAG Thursday Meeting 27 December 2012. Introduction. we have been working on post-merge Guggenheim channel ring simulations curved lattice cells dipole fields from tipping the solenoids

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Post-merge Guggenheim stage 12 R.C. Fernow BNL AAG Thursday Meeting 27 December 2012

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  1. Post-merge Guggenheim stage 12 R.C. Fernow BNL AAG Thursday Meeting 27 December 2012

  2. Introduction • we have been working on post-merge Guggenheim channel ring simulations • curved lattice cells • dipole fields from tipping the solenoids • generate Icool field maps in cylindrical coordinates • emittance exchange by tracking thru wedges • uses RF Be windows scaled from Study 2 • we have working files for all the (11) flip stages • now looking at first non-flip stage

  3. Small ring • first tried small ring (ρ = 1.53 m), similar to last flip lattice • could not find a reasonable closed orbit • tried varying starting parameters for orbit finder by hand • computed 2D beta functions were not reasonable • transmission thru cooling cell was very small

  4. Larger ring • looked at larger ring with ρ = 5.47 m • found a good closed orbit solution • 2D beta functions still bad ( β ~ 2 mm, should be ~5.9 cm) • dispersion was small D = 3.3 cm • for 120o wedge • met reference emittance goals for this stage • εTN = 0.432 mm, εLN = 2.37 mm after 12 cells • but transmission was very poor ~0.476

  5. Still larger ring • looked at even larger ring with ρ = 10.95 m • found a good closed orbit • beta functions were still bad ( β ~ 2 mm) • dispersion was very small D = 1.7 cm • for 120o wedge • not able to meet both reference emittance goals for this stage • εTN = 0.452 mm, εLN = 2.68 mm after 39 cells • transmission increased, but was still poor ~0.707 • tried wedge angles up to 140o • but was unable to reach the longitudinal emittance goal

  6. Eigenvalue analysis • currently looking with Scott at eigenvalues of the one-cell transport matrix • trying to find evidence for the source of poor performance • for ∞ case, both eigenvalues must be the same • possible trouble with • intrinsic design of the lattice ? • errors or bad approximations in the simulation ? • methods used in the analysis program ?

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