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Multi-pass Droplet Arc Design. Guimei WANG (Muons Inc./ODU) Dejan Trbojevic (BNL) Alex Bogacz (JLAB). Outline. Requirements of Muon collider acceleration Baseline design Prototype design Proposed new lattice design Ongoing…. Requirements of Muon collider acceleration.
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Multi-pass Droplet Arc Design Guimei WANG (Muons Inc./ODU) Dejan Trbojevic (BNL) Alex Bogacz (JLAB) MCDW 2008, JLAB, Dec 8-12, 2008
Outline • Requirements of Muon collider acceleration • Baseline design • Prototype design • Proposed new lattice design • Ongoing… MCDW 2008, JLAB, Dec 8-12, 2008
Requirements of Muon collider acceleration • Economical system with multi pass acceleration • Single Accelerator • Single arc • Short life time • High gradient accelerator • Short circumference MCDW 2008, JLAB, Dec 8-12, 2008
3 GeV m- m+ 35 GeV 4 GeV/pass Baseline design——Separate droplet arc for different energies • Alex Bogacz and Rol Johnson: single linac (with Pulsed linac Optics)+ multi droplet Arcs to accommodate multi pass beam acceleration Ramped Quads field gradient with time Reference: RECIRCULATING LINEAR MUON ACCELERATOR WITH RAMPED QUADRUPOLES, S.A Bogacz, R.P. Johnson, EPAC, 2629-2631 MCDW 2008, JLAB, Dec 8-12, 2008
Baseline design —Linac Optics Pulsed linac Optics Fixed linac Optics 1-pass 8-pass Increase from 8-pass (Fixed Optics) to 12-pass (Pulsed Optics) for 500 m long 4 GeV pass 12-pass MCDW 2008, JLAB, Dec 8-12, 2008
dipole dipole spreader 5 GeV 21 GeV septum 13 GeV 2 cells 2 cells 16 cells 29 GeV Baseline design—Mirror-symmetric ‘Droplet’ Arc Optics Different energy beams coming out of a linac are directed into different ‘droplet’ arcs for recirculation. Cost moves from accelerator to arcs. MCDW 2008, JLAB, Dec 8-12, 2008
Prototype design——NS-FFAG (Non-Scaling Fixed Field Alternating Gradient) • Dejan Trbojevic: Double linac + two 180 degree Arcs to accommodate large momentum spread (~60%) • Large energy acceptance • Very small orbit offsets • Reduce number of arcs • Very compact structure Basic cell structure in ARC (combined function magnet with extremely strong focusing ) Reference: FLEXIBLE MOMENTUM COMPACTION RETURN ARCS FOR RLAS, D. Trbojevic, R.P. Johnson, EPAC, 2578-2580 MCDW 2008, JLAB, Dec 8-12, 2008
m+ m- m- m+ m+ m- m- m- m- m+ m+ m+ Proposed new lattice design • Single Linac (pulsed linac optics) + Single Droplet arc (NS-FFAG) for two or more passes acceleration • Or Single Linac +Single Droplet arc (pulsed linac optics + pulsed arc optics) for two or more passes acceleration Basic arc design requirements: • Mirror symmetry arc structure for muon +/- acceleration • Large momentum acceptance • Path length control to match beam phase in the linac MCDW 2008, JLAB, Dec 8-12, 2008
New lattice design • Tools: Optim, Madx-PTC, Cosy-Infinity… • Linac: use Alex’s design • Arc: Combine the droplet design and idea of NS-FFAG basic cell design. Mirror Symmetric droplet Arc with large momentum acceptance Basic cell of Large momentum acceptance with combined bending magnet: Extremely strong focusing to suppress dispersion function MCDW 2008, JLAB, Dec 8-12, 2008
Flexible Momentum Compaction Symmetric Cells • Strong focusing yields very small beta functions and dispersion (Gr/B ~50, optics dominated by quads) • The maximum betatron in x and y plane are 4.9m and 3.4m. The maximum dispersion are 7.21cm and -7.21cm. Inward bending cell Outward bending cell , MCDW 2008, JLAB, Dec 8-12, 2008
600 outward 600 outward 3000 inward NS-FFAG multi-pass ‘Droplet’ Arc , The total length is 199 m, with 74 m long and 27 m wide. MCDW 2008, JLAB, Dec 8-12, 2008
Cells for different energy spread——Beta function Inward bending cell Outward bending cell For different energy spread, ~the same beta function in opposite bending cell. With MADX- Polymorphic Tracking Code. Energy spread changes from -30% to 90% MCDW 2008, JLAB, Dec 8-12, 2008
Cells for different beam energy —orbit offset and dispersion For different energy spread, opposite offset and dispersion in opposite bending cell. Beam offset <10cm, dispersion < 0.1 m. Inward bending cell Outward bending cell Possible solution: (1) Matching cell with –I matrix in x plane, and +/- I matrix in y plane. MCDW 2008, JLAB, Dec 8-12, 2008
Analysis with multipoles components Same bending raduis, same optics, same chromaticity • Beam offset VS energy spread MCDW 2008, JLAB, Dec 8-12, 2008
Ongoing • More optimizations on the basic cell design, such as use multipoles • Dispersion and opposite bending cells match study • Pathlength difference and adjustment study • Orbit offset • Optics match between Linac and Arc and Optics mismatch sensitivity • Error sensitivity study, beam dynamics study… • Pulsed droplet arc optics study MCDW 2008, JLAB, Dec 8-12, 2008
‘Pulsed’ vs ‘Fixed’ Dogbone RLA (1-pass) Pulsed 1-pass, 3-7 GeV Fixed MCDW 2008, JLAB, Dec 8-12, 2008
‘Pulsed’ vs ‘Fixed’ Dogbone RLA (8-pass) Pulsed 8-pass, 28-32 GeV Fixed phase adv. diminishes down to 1800 MCDW 2008, JLAB, Dec 8-12, 2008
‘Pulsed’ vs ‘Fixed’ Dogbone RLA (12-pass) Pulsed phase adv. diminishes down to 1800 12-pass, 47-51 GeV Fixed no phase adv. across the linac- beam envelopes not confined MCDW 2008, JLAB, Dec 8-12, 2008