ILC Positron Beam Lattice from Undulator to Damping
ILC Positron Beam Lattice from Undulator to Damping Ring* Wanming Liu and Wei Gai ANL (* with input from all the collaborators. )
Outline • New e+ beamline lattice – PTAPA (Positron Target Area and Pre. Accelerator) – PCAP – PPA – PTRAN – PBSTR – PTRANH – PLTR • Te. V upgrade
OMD PTAPA Target • OMD: – Flux concentrator: Physical length ~14 cm, With ~0. 5 T on target surface, and decay adiabatically from 3. 5 T at 2 cm from target down into the 0. 5 T background solenoid field at 14 cm. – QWT: Physical length ~20 cm, peak field ~1 T. • Standing wave linac: 11 cells, p mode, 15 MV/m, length 1. 27 m each, total numbers: 2 • Traveling wave linac: 50 cells, 3 p/4 mode, 8 MV/m, 4. 3 m long each, total numbers: 3 • Total length of tunnel reserved: 17 m per Beno’s drawing, • Minimum length of tunnel needed: ~16 m
PCAP Dogleg lattices borrowed from RDR PCAP. The lattice has been optimized for R 56 equals 0. If some one could design a better optics, the bunch length dilution will then be minimized and a higher yield will be achievable.
PCAP Lattice Optics elements C 1 DRIF C 2 DRIF C 3 DRIF C 4 DRIF C 5 DRIF C 6 DRIF C 7 DRIF C 8 DRIF M 0 PCAPA MARK, FITPOINT=1 M 1 PCAPA MARK M 2 PCAPA MARK M 3 PCAPA MARK M 4 PCAPA MARK M 5 PCAPA MARK M 6 PCAPA MARK M 7 PCAPA MARK, FITPOINT=1 BEG_PCAP WATCH, FILENAME="%s. beg_pcap", MODE="COORD" END_DL 1 WATCH, FILENAME="%s. end_dl 1", MODE="COORD" BEG_DL 2 WATCH, FILENAME="%s. beg_dl 2", MODE="COORD" END_PCAP WATCH, FILENAME="%s. end_pcap", MODE="COORD" COLL 1 MAXAMP, X_MAX=0. 075, Y_MAX=0. 075 SX 1 PCAPAM KSEXT, L=0. 15, K 2=17. 65437407212578, TILT=3. 1415926, N_KICKS=20 SX 2 PCAPAM KSEXT, L=0. 15, K 2=0. 6926162442997567, TILT=3. 1415926, N_KICKS=20 QM 1 PCAPA KQUAD, L=0. 15, K 1=-2. 8030687537248, N_KICKS=20 QM 2 PCAPA KQUAD, L=0. 15, K 1=3. 317689169936, N_KICKS=20 QM 3 PCAPA KQUAD, L=0. 15, K 1=-2. 5950771933216, N_KICKS=20 QM 4 PCAPA KQUAD, L=0. 15, K 1=2. 0892488356672, N_KICKS=20 QM 5 PCAPA KQUAD, L=0. 15, K 1=-2. 013966363424, N_KICKS=20 QM 6 PCAPA KQUAD, L=0. 15, K 1=1. 985324154848, N_KICKS=20 QM 7 PCAPA KQUAD, L=0. 15, K 1=-2. 0815573038336, N_KICKS=20 QFPCAPA KQUAD, L=0. 15, K 1=2. 139790805574368, N_KICKS=20 QDPCAPA KQUAD, L=0. 15, K 1=-2. 055221086385735, N_KICKS=20 QS 1 PCAPA KQUAD, L=0. 15, K 1=2. 118199562475107, N_KICKS=20 QS 2 PCAPA KQUAD, L=0. 15, K 1=-2. 212868947534958, N_KICKS=20 QS 3 PCAPA KQUAD, L=0. 15, K 1=2. 256382909307154, N_KICKS=20 QS 4 PCAPA KQUAD, L=0. 15, K 1=-2. 31210481797309, N_KICKS=20 B 1 PCAPA 3 CSBEND, L=0. 26, ANGLE=0. 06270622262892001, E 1=0. 06270622262892001, & E 2=0. 06270622262892001, TILT=3. 141592659, HGAP=0. 075, N_KICKS=20 B 2 PCAPA 3 CSBEND, L=0. 26, ANGLE=-0. 06270622262892001, E 1=0. 06270622262892001, & E 2=0. 06270622262892001, TILT=3. 141592659, HGAP=0. 075, N_KICKS=20 DM 1 PCAPA EDRIFT, L=0. 2 D 1 EDRIFT, L=0. 1 DCMPCAP EDRIFT, L=0. 2 DM 2 PCAPA EDRIFT, L=0. 2 DM 3 PCAPA EDRIFT, L=1 DM 4 PCAPAL EDRIFT, L=1. 07 DM 5 PCAPA EDRIFT, L=1. 3 DM 6 PCAPA EDRIFT, L=1. 3 DM 7 PCAPA EDRIFT, L=1. 3 DM 8 PCAPA EDRIFT, L=0. 2 D 1 PCAPA EDRIFT, L=0. 19063757677 D 6 PCAPA EDRIFT, L=0. 6493774 D 7 APCAPA EDRIFT, L=0. 149957494882 D 2 BPCAPA EDRIFT, L=0. 2 D 2 PCAPA EDRIFT, L=0. 9493774 D 6 XPCAPA EDRIFT, L=0. 6493774 D 2 APCAPA EDRIFT, L=0. 449957494882 D 3 PCAPA EDRIFT, L=0. 1999593 DS 1 PCAPA EDRIFT, L=0. 490977617714 DS 2 PCAPA EDRIFT, L=0. 949957494882
Beta function of PCAP lattice
0. 5 T solenoids PPA 8 x 4. 3 m long TW linacs Beamline lattice for MAD/elegant The Lattice implementation in MAD/elegant input divided the into short pieces with length of about 8. 65 cm: PPAKK 1: RFCA, L=0. 08649999999, VOLT=687499. 924, PHASE=100, FREQ=130000, & CHANGE_P 0=1, FIDUCIAL="LIGHT", END 1_FOCUS=1, END 2_FOCUS=1, N_KICKS=10 Each piece is followed by a back drift with the same length, 8. 65 cm: BACKD: EDRIFT, L=-0. 08649999999 Then followed by a solenoid with a length of 8. 65 cm and K according to the expected beam energy PPASOL 0: SOLE, L=0. 08649999999, KS=1. 2, ORDER=2 ………… PPASOL 399: SOLE, L=0. 08649999999, KS=0. 37563839679799, ORDER=2
PTRAN Matching section FODO lattice with earth bend every 16. 8 m to match to the earth curvature Matching section: consists of 4 quads and 4 drift as defined in the following: QX 1 PPAT: KQUAD, L=0. 15, K 1=-2. 8533, N_KICKS=20 QX 2 PPAT: KQUAD, L=0. 15, K 1=2. 5641, N_KICKS=20 QX 3 PPAT: KQUAD, L=0. 15, K 1=-1. 4611, N_KICKS=20 QX 4 PPAT: KQUAD, L=0. 15, K 1=0. 95720000001, N_KICKS=20 DX 1 PPAT: EDRIFT, L=0. 2 DX 2 PPAT: EDRIFT, L=0. 3 DX 3 PPAT: EDRIFT, L=3. 5 DX 4 PPAT: EDRIFT, L=6 The lattice is defined as: LINE=(DX 1 ppat, VCOR, QX 1 ppat, DX 2 ppat, HCOR, QX 2 ppat, DX 3 ppat, & VCOR, QX 3 ppat, DX 3 ppat, HCOR, QX 4 ppat, DX 4 ppat)
PTRAN, FODO Lattice • The elements defined: – DHPT: drift, L=8. 1 – QFPT: k. QUAD, L=0. 15, k 1= 5. 680065026 E-01, n_kicks=10 – QDPT: k. QUAD, L=0. 15, k 1=-5. 680065026 E-01, n_kicks=10 – earthbend: c. SBEND, L=0. 0001, ANGLE=2. 634 e-6, TILT=1. 5708, n_kicks=10 – DHPT 0 : drift, L=8. 0999 • The lattice is defined as: – FDPT: LINE=(VCOR, QDPT, earthbend, DHPT 0, HCOR, QFPT, DHPT, & VCOR, QDPT, earthbend, DHPT 0, HCOR, QFPT, DHPT) – PTRAN: LINE=(14*FDPT, VCOR, QDPT, DHPT, HCOR, QFPT, DHPT, & VCOR, QDPT, DHPT)
PTRAN, beta function
PBSTR Matching section PBSTR 1: 400 MEV TO 1082. 5649 MEV • PBSTR 2: 1082. 5649 MEV TO 2507. 0321 Me. V Matching to PTRANH PBSTR 3: 2507. 0321 Me. V to 5 Ge. V Matching section elements: DMAT 11 PB: DRIF, L=6. 626114 DMAT 12 PB: DRIF, L=1. 17866 DMAT 13 PB: DRIF, L=4. 07932 DMAT 14 PB: DRIF, L=2. 144358 DMAT 15 PB: DRIF, L=1. 230926 QMAT 11 PB: QUAD, L=0. 1, K 1=-2. 764554758 QMAT 12 PB: QUAD, L=0. 1, K 1=2. 515452097 QMAT 13 PB: QUAD, L=0. 1, K 1=-3. 231245599 QMAT 14 PB: QUAD, L=0. 1, K 1=2. 901614891 • Matching section beamline lattice mat 1 pb: LINE=(QFPT, Dmat 11 pb, vcor, Qmat 11 pb, Mmat 11 pb, Qmat 11 PB, Dmat 12 pb, & hcor, Qmat 12 pb, Mmat 12 pb, Qmat 12 PB, Dmat 13 pb, vcor, Qmat 13 pb, Mmat 13 pb, Qmat 13 PB, & Dmat 14 pb, hcor, Qmat 14 pb, Mmat 14 pb, Qmat 14 PB, Dmat 15 pb)
Matching and PBSTR 1
PBSTR 1, 400 MEV TO 1082. 5649 MEV • Elements defined: D 1 PB: DRIFT, L=0. 225 Beamline lattice: PBSTR 1: LINE=(p. LBAND, D 1 pb, vcor, Q 101 pb, M 101 pb, Q 101 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 102 pb, M 102 pb, Q 102 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 103 pb, M 103 pb, Q 103 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 104 pb, M 104 pb, Q 104 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 105 pb, M 105 pb, Q 105 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 106 pb, M 106 pb, Q 106 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 107 pb, M 107 pb, Q 107 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 108 pb, M 108 pb, Q 108 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 109 pb, M 109 pb, Q 109 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 110 pb, M 110 pb, Q 110 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 111 pb, M 111 pb, Q 111 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 112 pb, M 112 pb, Q 112 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 113 pb, M 113 pb, Q 113 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 114 pb, M 114 pb, Q 114 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 115 pb, M 115 pb, Q 115 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 116 pb, M 116 pb, Q 116 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 117 pb, M 117 pb, Q 117 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 118 pb, M 118 pb, Q 118 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 119 pb, M 119 pb, Q 119 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 120 pb, M 120 pb, Q 120 pb, d 1 pb, ttcol, & p. LBAND, d 1 pb, vcor, Q 121 pb, M 121 pb, Q 121 pb, d 1 pb, & p. LBAND, d 1 pb, hcor, Q 122 pb, M 122 pb, Q 122 pb, d 1 pb, & p. LBAND, d 1 pb, vcor, Q 123 pb, M 123 pb, Q 123 pb, d 1 pb) Where elements start with M are just markers, while ttcol defined the aperture of PBSTR line. ttcol: MAXAMP, x_max=0. 04, y_max=0. 04 !pbstr system Q 101 PB: QUAD, L=0. 1, K 1=-3. 100548 E+00 Q 102 PB: QUAD, L=0. 1, K 1= 3. 195483 E+00 Q 103 PB: QUAD, L=0. 1, K 1=-3. 188674 E+00 Q 104 PB: QUAD, L=0. 1, K 1= 3. 167639 E+00 Q 105 PB: QUAD, L=0. 1, K 1=-3. 173245 E+00 Q 106 PB: QUAD, L=0. 1, K 1= 3. 191427 E+00 Q 107 PB: QUAD, L=0. 1, K 1=-3. 174622 E+00 Q 108 PB: QUAD, L=0. 1, K 1= 3. 179704 E+00 Q 109 PB: QUAD, L=0. 1, K 1=-3. 161975 E+00 Q 110 PB: QUAD, L=0. 1, K 1= 3. 170089 E+00 Q 111 PB: QUAD, L=0. 1, K 1=-3. 168258 E+00 Q 112 PB: QUAD, L=0. 1, K 1= 3. 179581 E+00 Q 113 PB: QUAD, L=0. 1, K 1=-3. 171710 E+00 Q 114 PB: QUAD, L=0. 1, K 1= 3. 187806 E+00 Q 115 PB: QUAD, L=0. 1, K 1=-3. 166064 E+00 Q 116 PB: QUAD, L=0. 1, K 1= 3. 166577 E+00 Q 117 PB: QUAD, L=0. 1, K 1=-3. 147528 E+00 Q 118 PB: QUAD, L=0. 1, K 1= 3. 199748437 E+00 Q 119 PB: QUAD, L=0. 1, K 1=-1. 885132886 E+00 Q 120 PB: QUAD, L=0. 1, K 1= 1. 575091104 E+00 Q 121 PB: QUAD, L=0. 1, K 1=-1. 690561137 E+00 Q 122 PB: QUAD, L=0. 1, K 1= 2. 042708786 E+00 Q 123 PB: QUAD, L=0. 1, K 1=-1. 340044418 E+00 p. Lband: rfca, l=1. 3, freq=1300 e 6, volt=30. 4200205 e 6, & phase="100 15 -“, change_p 0=1, end 1_focus=1, end 2_focus=1, n_kicks=0
PBSTR 2, 1082. 5649 MEV TO 2507. 0321 Me. V • Elements defined: Q 201 pb: QUAD, L=0. 1, K 1= 7. 679659988 E-01 Q 202 pb: QUAD, L=0. 1, K 1=-8. 814852255 E-01 Q 203 pb: QUAD, L=0. 1, K 1= 8. 826431041 E-01 Q 204 pb: QUAD, L=0. 1, K 1=-8. 843088024 E-01 Q 205 pb: QUAD, L=0. 1, K 1= 8. 822866306 E-01 Q 206 pb: QUAD, L=0. 1, K 1=-8. 844124818 E-01 Q 207 pb: QUAD, L=0. 1, K 1= 8. 827314958 E-01 Q 208 pb: QUAD, L=0. 1, K 1=-8. 831050886 E-01 Q 209 pb: QUAD, L=0. 1, K 1= 8. 996015633 E-01 Q 210 pb: QUAD, L=0. 1, K 1=-7. 707045548 E-01 Q 211 pb: QUAD, L=0. 1, K 1= 6. 847939036 E-01 Q 212 pb: QUAD, L=0. 1, K 1=-6. 752094368 E-01 Q 213 pb: QUAD, L=0. 1, K 1= 6. 102805939 E-01 D 2 pb: DRIFT, L=0. 35 Beamline lattice PBSTR 2: LINE=( p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 201 pb, m 201 pb, Q 201 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 202 pb, m 202 pb, Q 202 pb, d 1 pb, coll 5, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 203 pb, m 203 pb, Q 203 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 204 pb, m 204 pb, Q 204 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 205 pb, m 205 pb, Q 205 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 206 pb, m 206 pb, Q 206 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 207 pb, m 207 pb, Q 207 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 208 pb, m 208 pb, Q 208 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 209 pb, m 209 pb, Q 209 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 210 pb, m 210 pb, Q 210 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 211 pb, m 211 pb, Q 211 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & vcor, Q 212 pb, m 212 pb, Q 212 pb, d 1 pb, & p. LBAND, d 2 pb, p. LBAND, d 1 pb, & hcor, Q 213 pb, m 213 pb, Q 213 pb, d 1 pb)
PBSTR 2
PBSTR 3, 2507. 0321 MEV TO 5 GEV • Elements defined: Q 301 pb: QUAD, L=0. 1, K 1=-5. 027838566 E-01 Q 302 pb: QUAD, L=0. 1, K 1= 5. 077050104 E-01 Q 303 pb: QUAD, L=0. 1, K 1=-5. 123466727 E-01 Q 304 pb: QUAD, L=0. 1, K 1= 5. 164005290 E-01 Q 305 pb: QUAD, L=0. 1, K 1=-5. 182156496 E-01 Q 306 pb: QUAD, L=0. 1, K 1= 5. 192407226 E-01 Q 307 pb: QUAD, L=0. 1, K 1=-5. 103819494 E-01 Q 308 pb: QUAD, L=0. 1, K 1= 5. 141454206 E-01 Q 309 pb: QUAD, L=0. 1, K 1=-5. 142592832 E-01 Q 310 pb : QUAD, L=0. 1, K 1= 6. 197682731 E-01 Qmat 21 pb: quad, L=0. 1, k 1= -1. 256889454 Qmat 22 pb: quad, L=0. 1, k 1= 0. 9934986514 Qmat 23 pb: quad, L=0. 1, k 1= -1. 211202669 D 3 pb: DRIFT, L=0. 178571428 Beamline Lattice: PBSTR 3: LINE=(p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & vcor, Q 301 pb, M 301 pb, Q 301 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & hcor, Q 302 pb, M 302 pb, Q 302 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & vcor, Q 303 pb, M 303 pb, Q 303 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & hcor, Q 304 pb, M 304 pb, Q 304 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & vcor, Q 305 pb, M 305 pb, Q 305 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & hcor, Q 306 pb, M 306 pb, Q 306 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & vcor, Q 307 pb, M 307 pb, Q 307 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & hcor, Q 308 pb, M 308 pb, Q 308 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & vcor, Q 309 pb, M 309 pb, Q 309 pb, d 1 pb, & p. LBAND, d 3 pb, & p. LBAND, d 3 pb, p. LBAND, d 1 pb, & hcor, Q 310 pb, M 310 pb, Q 310 pb, d 1 pb)
PBSTR Matching to PTRANH • Elements defined: DMAT 21 PB: DRIF, L=6. 991889 DMAT 22 PB: DRIF, L=1. 707763 DMAT 23 PB: DRIF, L=6. 935229 DMAT 24 PB: DRIF, L=0. 1000016 QMAT 21 PB: QUAD, L=0. 1, K 1=-1. 256889454 QMAT 22 PB: QUAD, L=0. 1, K 1=0. 9934986514 QMAT 23 PB: QUAD, L=0. 1, K 1=-1. 211202669 • Beamline lattice: mat 2 pb: line=(dmat 21 pb, vcor, Qmat 21 pb, Mmat 21 pb, Qmat 21 pb, & dmat 22 pb, hcor, Qmat 22 pb, Mmat 22 pb, Qmat 22 pb, & dmat 23 pb, vcor, Qmat 23 pb, Mmat 23 pb, Qmat 23 pb, & dmat 24 pb, Mmat 24 pb)
PBSTR 3 and Matching to PTRANH
PBSTR, beta functions
PTRANH • Simple FODO lattice to transport the beam to PLTR • The lattice is defined as: PTRANH: LINE= (117*(Demith. LTR, hcor, Qemit 1 LTR, Demith. LTR, & vcor, Qemit 2 LTR, Demith. LTR)) • The elements are defined as: Qemit 1 LTR: QUAD, L=0. 1, K 1= 1. 634505504 E+00 Qemit 2 LTR: QUAD, L=0. 1, K 1=-1. 634505504 E+00 Demith. LTR: drift, L=2. 0967
PTRANH, beta functions
PLTR elements and floor map
PLTR
PLTR Will increase the bending angle of vertical dogleg to shorten the dogleg. Also need to optimize the 1 st arc to desired R 56 for energy compression
PLTR
QUAD elements defined in PLTR QEMIT 1 LTR: QUAD, L=0. 1, K 1=1. 634505504 QEMIT 2 LTR: QUAD, L=0. 1, K 1=-1. 634505504 QEMIT 3 LTR: QUAD, L=0. 1, K 1=1. 634505504 QEMIT 4 LTR: QUAD, L=0. 1, K 1=-1. 634505504 QEMIT 5 LTR: QUAD, L=0. 1, K 1=1. 634505504 QEMIT 6 LTR: QUAD, L=0. 1, K 1=-1. 634505504 QARC 11 LTR: QUAD, L=0. 1, K 1=1. 723984303 QARC 12 LTR: QUAD, L=0. 1, K 1=-1. 439667509 QARC 13 LTR: QUAD, L=0. 1, K 1=1. 69353501 QARC 14 LTR: QUAD, L=0. 1, K 1=-1. 253213497 QARC 15 LTR: QUAD, L=0. 1, K 1=1. 576449364 QRF 1 LTR: QUAD, L=0. 1, K 1=2. 056385483 QRF 2 LTR: QUAD, L=0. 1, K 1=-1. 946860803 QSOL 1 LTR: QUAD, L=0. 1, K 1=-1. 83600566 QSOL 2 LTR: QUAD, L=0. 1, K 1=2. 22767576 QSOL 3 LTR: QUAD, L=0. 1, K 1=-0. 6280937641 QMAT 11 LTR: QUAD, L=0. 1, K 1=2. 627709217116771 QMAT 12 LTR: QUAD, L=0. 1, K 1=-1. 226142947343647 QMAT 13 LTR: QUAD, L=0. 1, K 1=0. 4201698443918677 QARC 21 LTR: QUAD, L=0. 1, K 1=1. 242514932108437 QARC 22 LTR: QUAD, L=0. 1, K 1=-0. 5167671651000372 QARC 23 LTR: QUAD, L=0. 1, K 1=-2. 034649907078322 QARC 24 LTR: QUAD, L=0. 1, K 1=2. 332657152290936 QMAT 21 LTR: QUAD, L=0. 1, K 1=1. 258544538485574 QMAT 22 LTR: QUAD, L=0. 1, K 1=-1. 231270021608319 QMAT 23 LTR: QUAD, L=0. 1, K 1=0. 2975480060562828 QMAT 24 LTR: QUAD, L=0. 1, K 1=-0. 3066809195306102 QMAT 25 LTR: QUAD, L=0. 1, K 1=2. 616847087067857 QMAT 26 LTR: QUAD, L=0. 1, K 1=-1. 236630663156066 QMAT 27 LTR: QUAD, L=0. 1, K 1=0. 4136466270347472 QMAT 28 LTR: QUAD, L=0. 1, K 1=-0. 4635002867856299 QMAT 31 LTR: QUAD, L=0. 1, K 1=-2. 232389646796169 QMAT 32 LTR: QUAD, L=0. 1, K 1=4. 498893100473579 QMAT 33 LTR: QUAD, L=0. 1, K 1=-2. 694624679678685 QMAT 34 LTR: QUAD, L=0. 1, K 1=-4. 193062369252243 QD 01 LTR: QUAD, L=0. 15, K 1=-2. 357022603955159 QD 02 LTR: QUAD, L=0. 15, K 1=2. 357022603955159 QMAT 41 LTR: QUAD, L=0. 1, K 1=-2. 108964761950354 QMAT 42 LTR: QUAD, L=0. 1, K 1=1. 390460048916098 QMAT 43 LTR: QUAD, L=0. 1, K 1=-0. 3021827950799405 QMAT 44 LTR: QUAD, L=0. 1, K 1=1. 149806340057405 QMAT 45 LTR: QUAD, L=0. 1, K 1=-2. 626206912609719 QMAT 46 LTR: QUAD, L=0. 1, K 1=1. 728680226219738 QMAT 47 LTR: QUAD, L=0. 1, K 1=-0. 9052224113112828 QMAT 48 LTR: QUAD, L=0. 1, K 1=0. 8805104578079364
Dipole, RF, sext and solenoids defined in PLTR BBL 11: SBEN, L=1, ANGLE=-0. 0576706642857143, E 1=-0. 057670664, HGAP=0. 02 BBL 12: SBEN, L=1, ANGLE=-0. 0576706642857143, E 2=-0. 057670664, HGAP=0. 02, FINT=0 BBS 11: SBEN, L=0. 5, ANGLE=-0. 028835333, E 1=-0. 028835333, HGAP=0. 02 BBS 12: SBEN, L=0. 5, ANGLE=-0. 028835333, E 2=-0. 028835333, HGAP=0. 02, FINT=0 BBL 20: SBEN, L=1, ANGLE=0. 151261868506175, E 1=0. 0756309342530876, & E 2=0. 0756309342530876, HGAP=0. 0127 BBL 21: SBEN, L=0. 4807, ANGLE=0. 0504206228353917, E 1=0. 0756309342530876, & E 2=0. 0756309342530876, HGAP=0. 0127 BBL 30 LTR: SBEN, L=1, ANGLE=-0. 2526802551420786, E 1=-0. 1263401275710393, & E 2=-0. 1263401275710393, TILT=1. 5708, HGAP=0. 0127 BBL 31 LTR: SBEN, L=1, ANGLE=0. 2526802551420786, E 1=0. 1263401275710393, & E 2=0. 1263401275710393, TILT=1. 5708, HGAP=0. 0127 LBRF: RFCA, L=3, VOLT=90000000, PHASE=196, FREQ=130000, CHANGE_P 0=1, & END 1_FOCUS=1, END 2_FOCUS=1, N_KICKS=0 SX 1 LTR: KSEXT, L=0. 15, K 2=2. 119048676246698, N_KICKS=20 SX 2 LTR: KSEXT, L=0. 15, K 2=1. 527462303154165, N_KICKS=20 SOLSEC: SOLE, L=0. 52, KS=0. 1896
Lattice of PLTR L 0001: LINE = (COLL 6, "END_COL 16", WS 1 LTR, DEMITHLTR, BPM, HC, QEMIT 1 LTR, & DEMITHLTR, BPM, VC, QEMIT 2 LTR, DEMITHLTR, WS 2 LTR, DEMITHLTR, BPM, & HC, QEMIT 3 LTR, DEMITHLTR, BPM, VC, QEMIT 4 LTR, & DEMITHLTR, WS 3 LTR, DEMITHLTR, BPM, HC, QEMIT 5 LTR, DEMITHLTR, BPM, & VC, QEMIT 6 LTR) L 0002: LINE = (DEMITHLTR, WS 4 LTR, DEMITHLTR, "END_EMITLTR", MARC 10 LTR, BPM, HC, & QARC 11 LTR, DARCA 11, BBL 12, DARCA 12, BPM, VC, QARC 12 LTR, & DARCB 11 A, C 121, DDDDD 1, C 121, DARCB 11 B, BBS 11, BBS 12, DARCB 12 A, C 12, DDD 1, C 12, & DDD 1, C 12, DARCB 12 B, BPM, HC, QARC 13 LTR) L 0003: LINE = (MARC 11 LTR, QARC 13 LTR, DARCC 11, BBS 12, DARCC 12, BPM, VC, & QARC 14 LTR, MARC 12 LTR, QARC 14 LTR, DARCD 11, BBL 12, DARCD 12, BPM, HC, QARC 15 LTR, & MARC 13 LTR, "END_ARC 1 LTR", QARC 15 LTR, DARCD 12, BBL 11, BBL 12, DARCD 11, BPM, VC, & QARC 14 LTR, DARCC 12, BBS 11, BBS 12, DARCC 11, BPM, HC, QARC 13 LTR, & DARCB 12, BBS 11, BBS 12) L 0004: LINE = (DARCB 11, BPM, VC, QARC 12 LTR, DARCA 12, BBL 11, BBL 12, & "END_RARC 1 LTR", DRF 0 LTR, BPM, HC, QRF 1 LTR, DRF 1 LTR, BPM, VC, QRF 2 LTR, & DRF 2 LTR, MRF 1 LTR, COLL 61, "END_RARC 2 LTR", LBRF, MRF 2 LTR, LBRF, MRF 3 LTR, & "END_RFLTR", COLL 6, DSOL 0 LTR, BPM, VC, QSOL 1 LTR, DSOL 1 LTR, BPM, HC, QSOL 2 LTR, & QSOL 2 LTR) L 0005: LINE = (DSOL 2 LTR, BPM, VC, QSOL 3 LTR, DSOL 3 LTR, MSOL 1 LTR, COLL 62, & SOLSEC, SOLSEC, MSOL 2 LTR, SOLSEC, & SOLSEC, SOLSEC, COLL 6, MSOL 3 LTR, "END_SOLLTR", & MMAT 10 LTR, BPM, HC, QMAT 11 LTR, MMAT 11 LTR, QMAT 11 LTR, DMAT 11 LTR, BPM, VC, QMAT 12 LTR, & MMAT 12 LTR, QMAT 12 LTR)
Lattice of PLTR L 0006: LINE = (DMAT 12 LTR, BPM, HC, QMAT 13 LTR, MMAT 13 LTR, QMAT 13 LTR, DMAT 13 LTR, & MARC 20 LTR, QARC 21 LTR, DARCA 211, QARC 22 LTR, DARCA 212, QARC 23 LTR, & QARC 23 LTR, DARCA 213, BBL 20, DARCA 221, QARC 24 LTR, DARCA 222, BBL 21, & MARC 21 LTR, BBL 21, MARC 21 LTR, DARCA 222, QARC 24 LTR, & DARCA 221, BBL 20, DARCA 213, QARC 23 LTR, DARCA 212, QARC 22 LTR, & DARCA 211) L 0007: LINE = (QARC 21 LTR, MARC 24 LTR, MMAT 20 LTR, BPM, HC, QMAT 21 LTR, & MMAT 21 LTR, QMAT 21 LTR, DMAT 21 LTR, BPM, VC, QMAT 22 LTR, MMAT 22 LTR, QMAT 22 LTR, DMAT 22 LTR, & BPM, HC, QMAT 23 LTR, MMAT 23 LTR, QMAT 23 LTR, DMAT 23 LTR, BPM, VC, QMAT 24 LTR, MMAT 24 LTR, & QMAT 24 LTR, DMAT 24 LTR, BPM, HC, QMAT 25 LTR, MMAT 25 LTR, QMAT 25 LTR, DMAT 25 LTR, BPM, VC, & QMAT 26 LTR, MMAT 26 LTR, QMAT 26 LTR, DMAT 26 LTR) L 0008: LINE = (BPM, HC, QMAT 27 LTR, MMAT 27 LTR, QMAT 27 LTR, DMAT 27 LTR, BPM, VC, & QMAT 28 LTR, MMAT 28 LTR, QMAT 28 LTR, DMAT 28 LTR, MMAT 29 LTR, MMAT 30 LTR, BPM, HC, QMAT 31 LTR, & MMAT 31 LTR, QMAT 31 LTR, DMAT 31 LTR, BPM, VC, QMAT 32 LTR, MMAT 32 LTR, QMAT 32 LTR, DMAT 32 LTR, & BPM, HC, QMAT 33 LTR, MMAT 33 LTR, QMAT 33 LTR, DMAT 33 LTR, BPM, VC, QMAT 34 LTR, MMAT 34 LTR, & QMAT 34 LTR, DMAT 34 LTR, MM, BBL 30 LTR) L 0009: LINE = (MM, DD 01 LTR, QD 01 LTR, MM, QD 01 LTR, DD 02 LTR, QD 02 LTR, MM, QD 02 LTR, & DD 021 A, SX 1 LTR, DD 021 B, QD 01 LTR, MM, QD 01 LTR, DD 02 LTR, QD 02 LTR, MM, QD 02 LTR, & DD 02 LTR, QD 01 LTR, MM, QD 01 LTR, DD 02 LTR, QD 02 LTR, MM, QD 02 LTR, DD 022 A, SX 2 LTR, & DD 022 B, QD 01 LTR, MM, QD 01 LTR, DD 02 LTR, QD 02 LTR, MM, QD 02 LTR, DD 01 LTR) L 0010: LINE = (MM, BBL 31 LTR, MM, MD 02 LTR, MMAT 40 LTR, DMAT 40 LTR, BPM, HC, QMAT 41 LTR, & MMAT 41 LTR, QMAT 41 LTR, DMAT 41 LTR, BPM, VC, QMAT 42 LTR, MMAT 42 LTR, QMAT 42 LTR, DMAT 42 LTR, & BPM, HC, QMAT 43 LTR, MMAT 43 LTR, QMAT 43 LTR, DMAT 43 LTR, BPM, VC, QMAT 44 LTR, MMAT 44 LTR, & QMAT 44 LTR, DMAT 44 LTR, BPM, HC, QMAT 45 LTR, MMAT 45 LTR, QMAT 45 LTR, DMAT 45 LTR, BPM, VC, & QMAT 46 LTR, MMAT 46 LTR) L 0011: LINE = (QMAT 46 LTR, DMAT 46 LTR, BPM, HC, QMAT 47 LTR, MMAT 47 LTR, QMAT 47 LTR, & DMAT 47 LTR, BPM, VC, QMAT 48 LTR, MMAT 48 LTR, QMAT 48 LTR, DMAT 48 LTR, MMAT 49 LTR, MD 02 LTR, & "END_LTR") LTR: LINE = ( L 0001, L 0002, L 0003, L 0004, L 0005, L 0006, L 0007, L 0008, L 0009, & L 0010, L 0011)
Longitudinal distribution of e+ at treaty point Need to add collimators at PCAP to clean up those e+ outside the damping ring acceptance window. As a result, some good e+ will be collimated too.
Te. V upgrade • To Upgrade to Te. V, a undulator with longer period will replace the RDR undulator. • There is no impact on the lattice except that we may need to change the RF power input for the PTAPA linacs to keep the positron beam energy to be centered at 125 Me. V.
Undulator for Te. V upgrade
• Goal – A reasonable scheme for the 1 Te. V option without major impact on the ILC configuration. • Assumptions – Drive beam energy: 500 Ge. V – Target: 0. 4 X 0 Ti – Drift from end of undulator to target: 400 m (longer drift helps, but fix it for now). – OMD: QWT • Approach: – Longer undulator period
• Radiated Photo parameters from beam passing through a helical undulator: ØThe 1 st Harmonic critical energy is approximately inversely proportional to the square of K when K goes higher and also inversely proportional to length of undulator period. Since K is proportional to the length of undulator period, thus the 1 st harmonic critical energy is approximately inverse proportional to the cubic of the length of undulator period. ØThe 1 st Harmonic critical energy is proportional to the square of gamma ØWhen drive beam increased up to 500 Ge. V, we can increase the length of undulator period to maintain photon spectrum and thus minimize the change of design. 35
Fixed B field at 0. 85 T and increase the period length to 4 cm • Simulation with 400 harmonics shows that with a collimator of 1. 5 mm radius, a yield of 2. 8 and polarization of 30% can be achieved. • Simulation also shows that 859 k. W of photon beam will be generated per 3 e 10 e+ per bunch (1. 5 yield). The photon beam passing through the collimator iris will be 243 k. W and the energy deposition will be about 7. 5 k. W. The photon power stopped by the collimator will be about 616 k. W • The energy lost in drive beam will be about 44. 6 Ge. V for 231 m undulator or about 19. 3 Ge. V per 100 m undulator. • Solution: Lower B field so the total energy loss will be ~ 5 Ge. V per electron.
With Fixed K=1 and different undulator period length (QW capturing) Based on the above plot, lu=4. 3 cm is used for a more detail simulation to evaluate the energy deposition and impact on drive beam
Photon beam power and energy deposition for generating 3 e 10 captured positrons (QW Capturing)
Parameters for 1. 5 of positron yield using fixed K=1 with different undulator period (QW) lu (cm) Photon beam power (k. W) Power Drive beam energy deposition (k. W) lost (Ge. V) Undulator length required (m) 3 206 7. 19 4. 91 124 4 186 7. 84 4. 44 198 4. 3 181 7. 94 4. 3 221 5 176 8. 37 4. 19 289 6 166 8. 76 3. 88 387 7 170 9. 80 4. 05 549 8 166 10. 34 3. 94 697
Photon number spectrum for K=1 and different undulator period lu ( cm) Nph/m E average (Me. V) Total photon energy per meter (Me. V) 1 2. 60323 139. 381398 362. 841814 2 1. 301615 69. 690699 90. 710454 3 0. 867743 46. 460466 40. 315757 4 0. 650807 34. 84535 22. 677613 5 0. 520646 27. 87628 14. 513673 6 0. 433872 23. 230233 10. 078939 7 0. 37189 19. 911628 7. 404935 8 0. 325404 17. 422675 5. 669403
Energy deposition profile, one bunch, K=1, lu=4. 3 cm The per bunch energy density is more than twice the number of RDR undulator with 250 Ge. V drive beam.
Accumulated effect of energy deposition -bunch separation is 356 ns and target is rotating at 900 RPM The accumulated energy deposition in the rotating target (900 RPM, 2 m diameter) is about 1050 J/cm^3 while the number for RDR is 566 J/cm^3. To bring it back to the RDR value, one can consider increase the bunch separation which reduce the number of bunch to 1312 per pulse with 712 ns bunch separation or double the drift between target and undulator
Accumulated effect of energy deposition with reduced bunch numbers -bunch separation is 712 ns and target is rotating at 900 RPM With reduced bunch numbers and doubled bunch separation, the peak energy density backs to about 516 J/cm^3 which is slightly smaller than the RDR number of 566 J/cm^3
The impact on 500 Ge. V drive beam from the chosen undulator parameters • Code used: elegant • Lattice: – Quads: • Effective length 1 m • Strenth: 0. 09717 and -0. 1109 alternating. • Separation: 12 m with space of quad excluded. – Undulator: • lu=4. 3 cm, K=1 • Sections with effective length of ~11. 0 m between quads • Initial beam parameters: – – enx=10 e-6 m. rad, eny=0. 04 e-6 m. rad bx=46 m, by=9 m Energy spread: 1 Ge. V or 0. 2% Average energy: 500 Ge. V
Drive beam emittance With no quad-bpm error included, the beam emittance is damping.
Drive beam energy and energy spread Drive beam energy spread increased from about 0. 2% up to about 0. 23% with about 400 m long undulator beam line.
Size of beam as it passing through the lattice The beam is well matched to the lattice
Beta of beam
Preliminary results about polarization K=1, lu=3 cm 30% polarization can be achieved by using a photon collimator with iris of about 0. 9 mm with K=1 and lu=3 cm. Higher polarization can be yielded from longer drift section for the gamma ray.
- Slides: 49