PRISM-FFAG injection/extraction studies Akira SATO Osaka - PowerPoint PPT Presentation

PRISM-FFAG injection/extraction studies Akira SATO Osaka University FFAG05 @ Fermi Lab.

Injection/Extraction Issue • B.Palmer proposed vertical injection/extraction Sept um Conclusions on Inject ion/ Ext ract ion 1.0 1710 G 930 G/ m K icker K icker • Vert ical inject ion/ ext ract ion much easier t han horizont al -167 G 206 G -78 G/ m K icker 98 G/ m 29 J 147 G 44 J 0.5 – N eeds M uch less M agnet ic energy 92 kV 64 G/ m 114 kV 40 J – N eeds much lower Volt age 144 kV (cm) – Chromat ic correct ion easy 0.0 y • But Remaining Design Quest ions – N eeds larger vert ical apert ures in special magnet s -0.5 – K icker Energy st ill much great er t han normal kickers – N eed two pulses in each kicker -1.0 – K icker aspect rat io unnat ural 0.0 2.5 5.0 7.5 10.0 z (m) – N eeds gradient in kicker field ( dipole + skew quadrupole) • St udy needs repeat ing wit h real fields and beam • But t his looks plausible * I studied that scheme with the present PRISM design. field clumps, real gap size, TOSCA field for FFAG magnets, hard edge field for kickers and septums, geant3 tracking code

momentum spread Initial Δp/p = ± 2% no pion Δp/p = ± 2% after 6 turn Δp/p = ± 20% contamination field gradient ＝ 152kV/m Simulation result π : <10-23 μ：0.56 survival rate (68MeV/c) needs６turns (=1.5μs) Muon Beam • at Injection • momentum : 68MeV/c+-20% • beam size • 100cmx30cm • time dist.: 40ns(/270ns) • kicker fall time < 230ns • at Extraction • momentum : 68MeV/c+-2% • beam size • 70cmx30cm • time dist. : 200ns(/270ns) • kicker rise time < 70ns-100ns

垂直方向のビーム軌道 垂直方向のビーム軌道 水平方向のビーム軌道 水平方向のビーム軌道 垂直方向のビーム軌道 水平方向のビーム軌道 Horizontal Injection/Extraction extraction Kicker y -700G 863J 2352kV x 100 cm injection Kicker -700G 863J 588kV

95 (T/m) 50 200 56 80 95 1 Bob B (T) Gradient rise time 0.25 (ns) fall time (ns) Length (cm) Height (cm) Width (cm) Single Turn 1.5 Septum (kV) 82 95 -56 16 Kicker2 0.0147 0.064 50 200 140 30 123 335 30 Kicker3 0.06 0.5 50 200 56 50 95 336 Voltage Stored 56 163 Vertical -0.0167 50 61 45 95 -92 25 0.0147 50 30 Stored 95 144 35 0.0206 50 61 45 95 113 39 Energy (J) (kV) Energy (J) (T/m) Horizontal 0.108 50 122.5 120 34 3175 2038 B(T) Gradient rise time Voltage (ns) fall time (ns) Length (cm) Height (cm) Width (cm) Single Turn 30 200 50 30 Stored Energy (J) one kick Injection -0.07 0 200 200 140 120 -588 Voltage 863 Extraction -0.07 0 50 1000 140 120 30 -2352 (kV) Single Turn Vertical B (T) 4459 1570 95 56 L X Y U V Horizontal Gradient (cm) (T/m) rise time (ns) fall time (ns) Length (cm) Height (cm) Width 863 B (T) 50 Height 10043 B (T) Gradient (T/m) rise time (ns) fall time (ns) Length (cm) (cm) 95 Width (cm) Single Turn Voltage (kV) Stored Energy (J) Kicker1 -0.0167 -0.078 2016 60 Gradient (cm) (T/m) rise time (ns) fall time (ns) Length (cm) Height (cm) Width Single Turn 56 Voltage (kV) Stored Energy (J) one kick any 0.3 0 50 1000 0.171 Horizontal Injection/Extraction B.Palmer’s results Lengt h cm 122.5 W idt h cm 120 2 ⋅ L ⋅ X ⋅ Y U = B y , V = B y ⋅ X ⋅ L H eight cm 34 K icker Field T 0.108 2 µ 0 t rise Rise t ime ns 50 St ored Energy J 2038 Single t urn Volt age kV 3162

水平方向のビーム軌道 垂直方向のビーム軌道 水平方向のビーム軌道 垂直方向のビーム軌道 Vertical Injection/Extraction One Kicker y Kicker 3000G x 10043J 2016kV 100 cm

垂直方向のビーム軌道 水平方向のビーム軌道 垂直方向のビーム軌道 水平方向のビーム軌道 Vertical Injection/Extraction Kicker x3 + Septum R.B.Palmer @ FFAG04 y Kicker Kicker Kicker Septum -167G 147G 600G 2500G x 16J 30J 335J 56kV 123kV 336kV 100 cm

垂直方向のビーム軌道 水平方向のビーム軌道 垂直方向のビーム軌道 垂直方向のビーム軌道 水平方向のビーム軌道 水平方向のビーム軌道 Vertical Injection/Extraction Momentum Dispersion Kicker Kicker Kicker Septum -167G 147G 600G 2500G 16J 30J 335J 56kV 123kV 336kV y x 100 cm Kicker Kicker Kicker Septum -167G 147G 600G 2500G 16J 30J 335J 56kV 123kV 336kV Add Skew Quadrupole moment -0.078T/m 0.064T/m 0.5T/m 1.5T/m

垂直方向のビーム軌道 水平方向のビーム軌道 Vertical Injection/Extraction FFAG’s 4D Acc. : 1.0G(mm mrad)^2 Kicker Kicker Kicker Kicker Kicker Kicker Septum Septum -167G -167G 147G 147G 600G 600G 2500G 2500G 16J 16J 30J 30J 335J 335J 56kV 56kV 123kV 123kV 336kV 336kV FFAG-Kicker’s 4D Acc. : 0.64G(mm mrad)^2 -0.078T/m 0.064T/m 0.5T/m 1.5T/m • (FFAG)/(FFAG-Kicker) = 64%

1 (ns) 95 4459 Bob B (T) Gradient (T/m) rise time (ns) fall time Length 56 (cm) Height (cm) Width (cm) Single Turn Voltage (kV) Stored Energy (J) 80 200 0.108 0.06 0.0147 0.064 50 200 140 30 95 123 30 Kicker3 0.5 50 50 200 56 50 95 336 335 Septum 0.25 1.5 Horizontal 50 16 35 45 95 -92 25 0.0147 50 163 30 95 144 0.0206 50 50 61 45 95 113 39 0.171 50 82 56 61 -0.0167 122.5 (ns) 120 34 3175 2038 B(T) Gradient (T/m) rise time (ns) fall time Length Vertical (cm) Height (cm) Width (cm) Single Turn Voltage (kV) Stored Energy (J) Kicker2 -56 1570 -0.07 -0.07 0 200 200 140 120 30 -588 863 Extraction 0 one kick 50 1000 140 120 30 -2352 863 Vertical B (T) Gradient Injection Energy (J) rise time (ns) L X Y U V Horizontal B (T) Gradient (T/m) rise time fall time Stored (ns) Length (cm) Height (cm) Width (cm) Single Turn Voltage (kV) (T/m) (ns) 95 Single Turn rise time (ns) fall time (ns) Length (cm) Height (cm) Width (cm) Voltage Gradient (kV) Stored Energy (J) Kicker1 -0.0167 -0.078 50 200 56 30 (T/m) B (T) fall time Stored (ns) Length (cm) Height (cm) Width (cm) Single Turn Voltage (kV) Energy (J) 10043 one kick any 0.3 0 50 1000 56 60 95 2016 95 Vertical Injection/Extraction B.Palmer’s results dz len ht wid t ilt B Grad V o U m m m m deg G G/ m kV J 1 K icker 0.51 0.61 0.45 0.95 0 -167 -78 92 29 2 K icker 0.00 1.63 0.30 0.95 0 147 64 144 40 3 K icker -.51 0.61 0.45 0.95 0 206 98 114 44 4 Sept um 0.61 0.82 0.56 0.95 4 1710 930 M ax (Tot al) 144 (113) H oriz 0 1.22 .34 1.2 1080 3160 2038 • It would work with the present PRISM design.

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