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Optimization of Target Solenoids for Longitudinal Phase Space Control

Study on optimizing solenoid parameters to control phase space in particle accelerators. Analysis includes time spread, transverse emittance, muon count, and stored energy impact. Discussion on taper length effects and capture efficiency. Research presented at a target group meeting.

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Optimization of Target Solenoids for Longitudinal Phase Space Control

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  1. Comments on target solenoid optimization manuscript HISHAM SAYED BROOKHAVEN NATIONAL LABORATORY Target group meeting 10/10/2013

  2. FE buncher & phase rotator cell Target group meeting 10/10/2013

  3. Acceptance in Longitudinal phase space Initial homogenous distribution in t-pz phasespace at the target location (z=0 m )  Long. Phase space at z=0 Initial scan points Scusseful points Target group meeting 10/10/2013

  4. Acceptance in Longitudinal phase space • Initial homogenous distribution in t-pz phasespace before the first RF cavity in the buncher location (z=50 m)   • Initial time 20 ns width and pz from 0-1 GeV/c. (2.5E5 particles through the front end) • Acceptance windows are limited to • ~ 5 nsec time width limit for each bunch (if we assume Gaussian distribution 1 sigma ~ 1.6 ns). • mom. spread of ~ 70 MeV/c (if we assume a Gaussian distribution 1 sigma is ~ 23 MeV/c & dp/p ~ 0.07-0.1) Δt~ 5 ns Δp~ 70 MeV/c Initial scan points Scusseful points Target group meeting 10/10/2013 Long. Phase space at z=50

  5. Phase Space Distributions (Short versus long taper) Longitudinal phase space at end of decay channel Long Taper 40 m Short Taper 4 m • The average time spread for the long taper is ~ 20 ns while for short one it is ~ 10 ns with higher core density in case of the short taper.  Target group meeting 10/10/2013

  6. Dependence of time spread & transverse emittance on taper length Transverse emittance shaped by capture solenoid Time spread shaped by capture solenoid Transverse emittance decreases by 8% with solenoid taper length going 840 m Time Spread increase by 90% with solenoid taper length going 840 m Target group meeting 10/10/2013

  7. Muon count within energy cut at end of decay channel MARS1510 Simulation: Counting muons at 50 m with K.E. 80-140 MeV Muon count at z=50 increases for longer solenoid taper Target group meeting 10/10/2013

  8. Front End Performance μ+ only Baseline High statistics tracking of Muons through the front end Target group meeting 10/10/2013

  9. Dependence of transverse emittance & Capture efficiency on Peak Filed Transverse emittance shaped by capture solenoid peak field B(at target)=5010 T Transverse rms emittance doubles as peak field decreases from 50 T  20 T Target group meeting 10/10/2013

  10. Dependence of transverse emittance & Capture efficiency on Peak Filed Target group meeting 10/10/2013

  11. Dependence of transverse emittance & Capture efficiency on Peak Filed Capture efficiency dependence of peak solenoid field z=0.0 Transverse emittance shaped by capture solenoid N(π+) Transverse emittance doubles as peak field decreases from 50 T  20 T Number of pions+muons+k within transverse 6 σ cut and Pz=0.0-1.0 GeV/c Target group meeting 10/10/2013

  12. Muon yield versus end field including optimization of fe Impact of transverse focusing field on performance of FE: Constant solenoid filed in Decay Channel – Buncher – Rotator (matched to +/- 2.8 T ionization cooling channel) Bz(Target)=20 T 20% for every 1 T increase in constant field Baseline 60% more than baseline performance Muon yield versus end field Target group meeting 10/10/2013

  13. STORED ENERGY Stored energy versus end field for one magnet FE Constant field magent (Weggel) B[z] Z [m] U [J] = (π/2μ0)(B2 R2)L Target group meeting 10/10/2013

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