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Study of beam injection/extraction for IDS FFAG J. Pasternak

Study of beam injection/extraction for IDS FFAG J. Pasternak Imperial College, London / RAL STFC. Introduction. Injection from FODO. Extraction from FODO. Summary and future plans. Introduction. Motivations for Non Scaling FFAGs as muon accelerators:

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Study of beam injection/extraction for IDS FFAG J. Pasternak

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  1. Study of beam injection/extraction for IDS FFAG J. Pasternak Imperial College, London / RAL STFC J. Pasternak

  2. Introduction. • Injection from FODO. • Extraction from FODO. • Summary and future plans. J. Pasternak

  3. Introduction • Motivations for Non Scaling FFAGs as muon accelerators: • quasi-isochronous –enables high frequency RF • linear fields – gives huge DA and allows for simple magnets • small orbit excursion – cost effective • Main problems: • TOF with amplitude • beam loading • injection/extraction • Lattice choice FODO: • cost-effective, • allows for symmetric injection/extraction, • but short drift • Triplet: • more expensive, • allows for symmetric injection/extraction, but (most likely only vertical) • but longer drift J. Pasternak

  4. Beam dynamics studies • Tunes, orbits, revolution times, • DAs have been reproduced. • Codes, which can be used – • Zgoubi, PTC, MAD-X-PTC, BeamOptics • Fringe fields have to be taken into account. • For injection/extraction studies correct tracking of • large amplitude is essential. J. Pasternak

  5. BeamOptics versus Zgoubi Agreement within hard edge approximation is very good (models includes large amplitudes and momentum deviation). J. Pasternak

  6. BeamOptics versus Zgoubi (2) T, ns E, GeV Correct order of ChangeRef is important to get very good agreement! J. Pasternak

  7. Preliminary extraction studies • Extraction taken as a first goal. • Working assumption – try to distribute kickers to reduce strengths. • Apply mirror symmetric solution to reuse kickers for both signs of muons • (also for injection). Positive Muons Negative Muons F D F D F D F Septum Septum Kickers J. Pasternak

  8. Horizontal extraction –pushing to the limit m m Parameters: 10 kickers – 1.4 m, 0.125 T and septum – 1.4 m, 4 T. • HorizontalSolution requires many, • strong kickers (many drifts needed). • Tune is close to 0.2 but beta is small! • Requires special magnets. • Solution not satisfactory! J. Pasternak

  9. Vertical Extraction Septum, 4 T, 1.4 m Circulating 25 GeV Beam, 3 cm emittance • Requires special • magnets • More compact and • alows to reduce kickers • srength • Symmetric for both signs. Kickers 0.1 T, 1.4 m Main Magnets J. Pasternak

  10. Vertical extraction (other scheme – 6 kickers) m m Parameters: 6 kickers – 1.4 m, 0.07 T and septum – 1.4 m, 4 T. J. Pasternak

  11. Vertical extraction (other scheme – 4 kickers) Kickers 0.1 T, 1.4 m J. Pasternak

  12. Horizontal injection (8 kickers, 0.11 T) Beam separation J. Pasternak

  13. Vertical Injection Parameters: 6 kickers (---+++) – 1.4 m, 0.12 T and septum – 1.4 m, 4 T. • Does it require special magnets? • More compact but requires stronger kickers • Antisymmetric for both signs. J. Pasternak

  14. Injection (2) Parameters: 10 kickers – 1.4 m, 0.08 T and septum – 1.4 m, 2.5 T. • Does require special magnets! • Long but requires weaker kickers. • Symmetric for both signs. J. Pasternak

  15. Summary of parameters for injection/extraction 0.1 T kicker parameters:size HxV (0.3x0.3 m), I~ 40 kA, V~116 kV J. Pasternak

  16. What are the kicker parameters? • FFAG IDS kicker: • size HxV (0.3x0.3 m), • field 0.1 T, • I~ 40 kA, • V~116 kV, • rise time 1.5 us • CERN LHC extraction kicker: • size HxV (0.056 x 0.056 m), • field 0.34 T, • I~ 18.5 kA, • V~30 kV, • rise time 2.85 us J. Pasternak

  17. Comments obtained at PAC’09: • These kickers are still difficult due to large aperture! • The superconducting setum will be difficult in operation. • You may need to shield kickers from the magnetic field. J. Pasternak

  18. Summary • Beam dynamics in Scott’s FODO has been studied • with good results. • We have a first geometry for both injection and extraction, • but its feasibility still needs to be shown! • Other lattices have to be studied, mostly triplet. • More tracking is needed (fringe fields, accelerated orbit, etc.). • Alternative scheme based on insertion schould be studied. J. Pasternak

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