RF structure design
KT high-gradient medical project kick-off30.05.2013
Alberto DegiovanniTERA Foundation - EPFL
A. Degiovanni 2
Outline
• Introduction– RF cavities constraints for hadrontherapy
• Backward travelling wave cell design and optimization for high gradient operations– Nose cone study– Tapering
• Comparison of different structure designs– SW SCL design– backward TW
• Preliminary studies for linac design• Conclusions
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T1 T2 T3 T4 T5 T6 T7 T8 T9
Linac layout and BDR requirements
• Quasi-periodic PMQ FODO lattice sets a limit to the length of each structure and determines the group velocity range.
• The cells in each structure (tank) have the same length, while from one tank to the next, the cell length increases:
β tapering in the range 0.22-0.60• Trade-off between transverse acceptance and RF efficiency:
bore aperture = 5 mm• Max BDR: 1 BD per treatment session (~ 5 min) on the whole
linac length (~ 10 m). BDR ~ 10-6 bpp/m
...
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NOVEL DESIGN FOR HIGH GRADIENT OPERATION
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Proposal for bTW design for hadrontherapy
with: Sc < 4 MW/mm2
tTERA = 2500 nstCLIC = 200 nsBDRTERA = BDRCLIC = 10-6 bpp/m
.515
constBDRtS pulsec
DESIGN GOAL and CONSTRAINTS
Ea:= E0T ≥ 50 MV/m
Sc/Ea2 < 7 10-4 A/V
Proposed by A. Grudiev
P_0P_load
P_wall
z
Lvg_in ~ 0.4% cvg_out ~ 0.2% c
filling time ~ 0.3 µs
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8 holes (22.5 deg sweep) – radius scan
doubling the number of holes will double vgwhile keeping Sc_holealmost constant
normalized Sc in the coupling hole [10-4 Ω-1]
cone A gap Rc cs_h ac_Diam vg R'/Q Sc/Ea^2_slot
deg mm mm mm mm ‰ Ohm/m 10-4 V/A
25 5.2 2 28 72.331 0.45 8111 2.00
25 5.2 2.5 28 72.172 1.04 8127 2.46
25 5.2 3 28 71.927 2.04 8147 3.01
25 5.2 3.5 28 71.564 3.54 8177 3.57
25 5.2 4 28 71.093 5.63 8215 4.40
ROI nose_Sc/Ea^2
ROI group velocity
vg [10-3 c] ~ (r[mm])3.65
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Nose geometry optimization
• Scan on:– Nose cone angle– Gap– Nose cone radius(*)– Phase advance (120°-150°)– coupling hole radius
(vg = 4 ‰ and 2 ‰ )
• Optima:– Minimum of the quantity:
22a
c
a ES
EP
Q
RE
Sv a
c
g
'
2
* based also on results of the SCL optimization
nose radii
bore radius
half gap
septumnose angle
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angle scan – 120 deg
g5 a25 g5 a55 g5 a75
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Optimization plots
Optimization plots
R’/Q [Ω/m]
R’ (or ZTT) [MΩ/m]
Optimization plots - fields
Optimization plots
vg [10-3 c]
Sc/Ea2 [10-3 Ω-1]
R’/Q [Ω/m]
22a
c
a ES
EP
Q
RE
Sv a
c
g
'
2
Optimization plot – 120 deg – gap = 5.5 mm
min {Max {Xnose,Xslot}}
Optimization plot – 120 deg – gap = 5.5 mm
g4 a25 g4 a55
gap and angle scan – 120 deg
g5 a25
g6 a25 g6 a55
g5 a55
g4 a75
g5 a75
g6 a75
120° - 16 holes – nose 1 -2 mm – gap and angle scan
g 5.5 mmA 65 deg
g 5.5 mmA 65 deg
120° - 16 holes – nose 1 -2 mm – gap and angle scan
g 5.5 mmA 65 deg
g 5.5 mmA 65 deg
150° - 16 holes – nose 1 -2 mm – gap and angle scan
g 7.0 mmA 55 deg
g 7.0 mmA 55 deg
150° - 16 holes – nose 1 -2 mm – gap and angle scan
g 7.0 mmA 55 deg
g 7.0 mmA 55 deg
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COMPARISON BETWEEN TW AND SW STRUCTURES
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Geometry of LIBO structure
Comparison between TW structure and SCL
PUT NEW PLOT
Tapered structures:the coupling holes are smaller along the structure
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Comparison of E-field in TW and SWπ/2 phase advance2/3 π phase advance
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+ simpler mechanically+ less material and brazing needed (lower number of cells)+ tuning is easier for TW+ shorter filling time+ no bridge couplers
- small wall thickness- material properties change during brazing- Dissipated power is higher (half power goes to the load) Recirculation loop (power for TW 10-20% higher than SW)
PROs and CONs of bTW compared to standard SCL design
waveguide
accelerating cavities
coupling cavities
I. Syratchev30/05/2013
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Preliminary design for high gradient bTW linac
1. Independent rotary joints 2. -3 dB recirculation3. Small RF load compared to TW
T2T1
load
load
MKs~15-16 MW
klystron
2
3
T2T1
load
load
MKs
1
2
3
2 x 7.5 MW klystrons
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Global optimization of bTW linac• Energy range: 60-230 MeV• 16 structures (tanks) – Total length: 5.9 m• 16x7.5 MW klystrons – 8 modulators• Total peak power needed: 206 MW• Peak power with recirculators: 114 MW
– Effective filling time increases to 2.1-3 μs
• Total average power from MKs: 150 kW
• Energy range: 65-230 MeV• 16 structures (tanks) – Total length: 5.5 m• 16x7.5 MW klystrons – 8 modulators• Total peak power needed: 260 MW• Peak power with recirculators: 120 MW
– Effective filling time increases to 1.8-2.5 μs
• Total average power from MKs: 150 kW
Gain ~ 2.2
Gain ~ 1.8
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Fast active energy and intensity modulation:RF pulses and beam pulses
Klystron RF pulse
RF power into the tanks
Proton pulses from source
5.0 μs
2.5 μsActive energy modulation
8 ms
Active intensity modulation
time
I
P
P
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Summary
• Optimization of TW structures for high gradient operations has been performed for 120° and 150° phase advance.
• The RF design of the input and output coupler is now ongoing.• The optimization of the whole linac layout has started recently and needs
some iterations, but looks promising• The design and test of the novel bTW structures is boosting the TULIP
project!
T
H
A
NK
Y
O
U
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BACK-UP slides
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TULIP-CLIC-bTW – beta=0.3798 (W=76 MeV)
Rc
csl_h
DIAM/2
GAP/2
LENGTH
position
R_coupling
angle
angle
R_coupling
positionRcorner
Racetrack slot
Rectangular slot
Circular coupling holes
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SUMMARY 120 deg 150 deg SCL base SCL – HG
wall thickness (mm) 1.5 1.5 3.0 3.0
gap (mm) 5.5 7.0 5.1 9.5
nose cone angle (deg) 65 55 25 55
length (mm) 189.9 189.9 189.9 189.9
ncell 15 12 10 10
Ea_avg (MV/m) 25 25 25 25
Sc_nose (MW/mm2) 0.149 0.185 0.486 0.188
t_pulse (ns) flat 2500 2500 2500 2500
expected BDR (at given Ea and t_pulse) (bpp/m) based on Sc limit 1.1 E-22 2.9 E-21 5.7 E-15 3.7 E-21
max Ea (for BDR of 10-6 bpp/m) (MV/m) 85.2 76.3 47.1 75.7
Pin (MW) (w/o recirculation) 2.70 5.19 2.49 5.10 1.75 2.26
Pout (MW) (w/o recirculation) - 2.90 - 3.02 - -
Q0 (first/last) 6482/6721 7088/7545 8291 8250
vg (first/last) [%c] 0.421/0.226 0.404/0.236 - -
R’/Q (first/last) [Ohm/m] 7872/7847 7835/7794 8406 6355
time constant (ns) 320 340 440 440field rise time (time to reach 99% field)
(ns) (w/o recirculation) 750 204 800 204 1050 105030/05/2013