frank zimmermann, clic “away day” 28 march 2006 x * limitations and improvements paths damping...
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![Page 1: Frank Zimmermann, CLIC “Away Day” 28 March 2006 x * Limitations and Improvements Paths Damping Rings Maxim Korostelev, Frank Zimmermann](https://reader035.vdocument.in/reader035/viewer/2022062517/56649f065503460f94c1b43c/html5/thumbnails/1.jpg)
Frank Zimmermann, CLIC “Away Day” 28 March 2006
x* Limitations and Improvements Paths
Damping Rings
Maxim Korostelev, Frank Zimmermann
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
ATF single-bunch emittances:x~3.5-4.3 m (CLIC: ~0.5 m)y~13-18 nm (CLIC: 3 nm)z~8640 eVm (CLIC: <5400 eVm)
6D phase-space density in CLIC ~70 times higher
how can we go further?
?
ATF
CLICnew CLIC?
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
2004: CLIC-NLC comparison for ITRP “Wise Men” NLC DR CLIC DR
energy 1.98 GeV 2.42 GeV*
circumference ~299 m 364 m
arc cell length ~6 m 1.8 m
hor. phase advance/arc cell* 108o 210 o
#arc TME cells* ~30-40? 100
total wiggler length* 44 m 152 m
wiggler period* 27 cm 10 cm
bunch population 7.6-15.2x109 4.2x109
longit. emittance , s 10.6 keVm 5.5 keVm
transv. emittances x, y ~3000 nm, 30 nm 660 nm, 3.3 nm
damping times x,y, s 3.63, 4.08 ms, 2.18 ms 2.64 ms,1.32 ms
*smaller emittance due to smaller bend angle / arc cell,less emittance detuning, more damping, smaller Hx in wiggler
*higher energy reduces intrabeam-scattering effect
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
further progress in 2005Wiggler 1
permanent magnet
Wiggler 3
Nb3Sn superconductor
Bw 1.7 T 2.5 T
w 10 cm 4.5 cm
x 550 nm
(133 nm w/o IBS)
354-375 nm
(79 nm w/o IBS)
y 3.3 nm
(0.8 nm w/o IBS)
2.9-2.3 nm
(0.5 nm w/o IBS)
z 4724 eVm
(2551 eVm w/o IBS)
4817-4997 eVm
(3433 eVm w/o IBS)also: less charge per bunch
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
possible approachesfor achieving even smaller emittance
1) larger damping-ring circumference
(weaker arcs & longer wigglers)
+ increased beam energy
2) damping in linac
3) laser wiggler?
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
1) larger circumference + higher energy
not self-consistent,artificially kept longitudinal emittance at
constant value (4500 eVm), opening-angle effect not included
w/o IBS horizontal emittance is 100 nm w/o
IBS at 3.74 GeV
MAD-X calculation
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
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analytical equations including IBS (Bane approx.) & opening angle
H. Braun, M. Korostelev, F. Zimmermann, CLIC Note 594, 2004
dispersive terms opening angle
IBS
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
result of my analytical calculation
includes opening angle
Karl Bane’s IBS approximation
almost self-consistent (z fixed = 1 mm)
for case 2x circumference,I find large discrepancy in z
(w/o IBS) between analyticalformula and MAD-X!?
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
exact calculation by Maxim“nominal” 2x arc 2x arc
2x straights
2x straights
E 2.42 GeV 3.74 GeV 3.74 GeV 3.74 GeV
C 365 m 529 m 704 m 530 m
x 375 nm
(79 nm)
421 nm
(73 nm)
340 nm
(66 nm)
315 nm
(135 nm)
y 2.3 nm
(0.5 nm)
2.65 nm
(0.5 nm)
2.14 nm
(0.415 nm)
1.98 nm
(0.862 nm)
z 4997 eVm
(3433 eVm)
5030 eVm
(4100eVm)
4975 eVm
(4221 eVm)
5020 eVm
(4480 eVm)
best
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
exact calculation by Maxim cont’d
“nominal” 2x arc 2x arc
2x straights
2x straights
Q’x -102 -187 -200 -114
Q’y -135 -254 -266 -148
SF
[103 m-3]
7.85 14.1 15.0 8.76
SD
[103 m-3]
-9.99 -18.2 19.3 -11.06
>10% larger sextupole strength implies >10% smaller dynamic aperture
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
new ring parameters?present option
circumference 357 m 530 m
energy 2.424 GeV 3.746 GeV
rf frequency 1.875 GHz
rf voltage 2.39 MV 20.5 MV
energy loss/ turn 2.19 MeV 18.93 MeV
total wiggler length
152 m 304 m
synchr. radiation power
0.3 MW 1.9 MW
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
2) damping in linacH. Braun, M. Korostelev, F. Zimmermann, CLIC Note 594, 2004
damping factor 2
beam energy 34 GeV
addt’l linac length 640 m / side (~1/Bw)
addt’l voltage 48 GV (~1/Bw)
wiggler peak field Bw 10 T
wiggler period w 1.5 cm
x,y 1.5 m, 8 m
final x 272 nm (~x w2 Bw
3)
final y 3.5 nm (~y Bw )
wiggler parametersquite challenging
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
3) laser wigglernaturally small periodassume laser parameters of Snowmass Posipol Proposal (CLIC note 639)
2laser
w
laserw IZ
cB 02
2laser wiggler equivalence:
zyx
laserlaser
cAI
2/32type YAG
Alaser 592mJ
w 0.53 m
x,y 5 m
z 0.9 mm
Ilaser 5x1020 W/m2
Bw 4090 T
Tm 01.0Tm 002.0 wwBundulator regime!
7-min,; 106.9
10
3
laser
cyxN
13.0
ionGeV/collis 4.43
16 22
E
E
ArE e ~6% transverseemittance reductionper laser collision!however →50%!
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
conclusions
laser wiggler → unacceptable energy spread
superconducting wiggler in linac beyond present state of the art
double wiggler length & increase beam energy to 3.74 GeV→15% reduction in x & y; but expect impact on dynamic aperture ~20-30% & 6x increased heat load
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
spare slide
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Frank Zimmermann, CLIC “Away Day” 28 March 2006
DR equilibrium emittance without IBS & w/o 1/
7.9/1/1 22 arcw
6.1// 33 arcw
HH present design:
11.0 ,15
8/
/1/11
//1
min3
23
22
3333
FC
NH
HH
J
FC
ww
w
w
arcw
arcw
x
arcqx
arcdiparcww
arcarcdipwwww
x
arcqx LlLB
LlLB
J
FC2222
5525233
const1
const1
above can also be written as