RF for Linacs Erk Jensen – CERN AB/RF - CERN Accelerator School
RF for Linacs Erk Jensen – CERN AB/RF - CERN Accelerator School
RF for Linacs Erk Jensen – CERN AB/RF - CERN Accelerator School
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<strong>RF</strong> <strong>for</strong> <strong>Linacs</strong><br />
<strong>Erk</strong> <strong>Jensen</strong> <strong>–</strong> <strong>CERN</strong> <strong>AB</strong>/<strong>RF</strong><br />
Outline<br />
�� <strong>RF</strong> Power Sources (solid state, tetrodes, klystrons, ...)<br />
�� <strong>RF</strong> Pulse Compression (principle, flat pulses, BOC)<br />
�� Accelerating Structures (Brillouin diagram, HOMs, beam<br />
loading, SC accelerating structures, HDS)<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 1
CW/Average power [kW]<br />
10000<br />
1000<br />
100<br />
10<br />
1<br />
0.1<br />
Transistors<br />
SSPAs (x32)<br />
Grid tubes<br />
IOT<br />
Klystrons<br />
CCTWT<br />
<strong>RF</strong> Power sources<br />
Typical ranges (commercially available)<br />
10 100 1000 f [MHz] 10000<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 2
MOSFET<br />
VDMOS<br />
Vertical Doubly Diffused<br />
www.essderc2002.deis.unibo.it/ESSDERC_web/Session_D18/D18_4.pdf<br />
<strong>RF</strong> power transistors<br />
LDMOS<br />
Lateral Doubly Diffused<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 3
LEIR SSPA, 1 kW, 0.2 <strong>–</strong> 50 MHz<br />
M<strong>RF</strong>151G<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 4
DU1029UK<br />
Soleil Booster SSPA, 40 kW, 352 MHz<br />
http://accelconf.web.cern.ch/AccelConf/e04/PAPERS/THPKF031.PDF<br />
147 modules<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 5
potential<br />
control<br />
grid<br />
Ug1<br />
Ug2<br />
Ra<br />
cathode anode (plate)<br />
4CX250B<br />
(Eimac/CPI),<br />
< 500 MHz, 600 W<br />
(Anode removed)<br />
screen<br />
grid<br />
Ia=0<br />
Ia max<br />
Tetrode<br />
+Ua<br />
Ua<br />
RS 1084 CJ (ex Siemens, now Thales),<br />
< 30 MHz, 75 kW<br />
YL1520 (ex Philips, now Richardson),<br />
< 260 MHz, 25 kW<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 6
Classes of operation:<br />
A: large DC bias current, η < 50 %<br />
<strong>AB</strong>: small DC bias current, η ≈50 … 60 %<br />
B: 0 bias current, halfwave, η < 78 %<br />
C: current only with large modulation, η ≈90 %<br />
Tetrode operation (<strong>AB</strong>1)<br />
operating line<br />
Ia(t)<br />
This example: Thales TH 681<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 7
High power tetrode amplifier<br />
<strong>CERN</strong> Linac3: 100 MHz, 350 kW<br />
50 kW Driver: TH345, Final: RS 2054 SK<br />
<strong>CERN</strong> PS: 13-20 MHz, 30 kW<br />
Driver: solid state 400 W, Final: RS 1084 CJSC<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 8
-V 0<br />
t<br />
Cathode<br />
velocity<br />
modulation<br />
drift<br />
<strong>RF</strong> in <strong>RF</strong> out<br />
Klystron principle<br />
density<br />
modulation<br />
z<br />
Collector<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 9
Klystrons<br />
<strong>CERN</strong> CTF3 (LIL):<br />
3 GHz, 45 MW,<br />
4.5 μs, 50 Hz, η 45 %<br />
<strong>CERN</strong> LHC:<br />
400 MHz, 300 kW,<br />
CW, η 62 %<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 10
1<br />
4<br />
2<br />
3<br />
<strong>RF</strong> Pulse Compression<br />
6<br />
4<br />
2<br />
Input pulse<br />
0<br />
0 2000 4000 6000 8000<br />
360<br />
180<br />
Input phase<br />
0<br />
0 2000 4000 6000 8000<br />
6<br />
4<br />
2<br />
“SLED” output<br />
pulse<br />
0<br />
0 2000 4000 6000 8000<br />
SLED: SLAC Energy Doubler LIPS: LEP Injector Power Saver<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 11
6<br />
4<br />
2<br />
3<br />
2<br />
1<br />
Standard “SLED”<br />
Pulse<br />
0<br />
0 2000 4000 6000 8000<br />
0<br />
0 2000 4000 6000 8000<br />
Flat pulse<br />
Flat output pulses<br />
200<br />
100<br />
200<br />
100<br />
0<br />
0<br />
<strong>RF</strong> phase<br />
modulation<br />
5000 6000<br />
Old<br />
New<br />
5000 6000<br />
<strong>RF</strong> phase<br />
modulation<br />
3<br />
2<br />
1<br />
0<br />
0 2000 4000 6000 8000<br />
3<br />
2<br />
1<br />
Flat pulse<br />
0<br />
0 2000 4000 6000 8000<br />
Distorted pulse<br />
-10 kHz<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 12
BOC „Barrel Open Cavity“<br />
Pulse compressor<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 13
Electric field, logarithmic scale<br />
BOC<br />
2.99848 GHz,<br />
S11: -12.9 dB<br />
Magnetic field<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 14
Travelling Wave Structure<br />
SiC wedges<br />
st<br />
31 disc<br />
m 1.10<br />
Coupler cell<br />
length:<br />
(2 waveguide ports) total<br />
dimple tuning holes<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 15
Input coupler<br />
Travelling wave structure<br />
4-cell travelling wave structure<br />
¼ of geometry shown<br />
shown: Re {Poynting vector}<br />
(power density)<br />
Output coupler<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 16
Iris loaded waveguide<br />
1 cm<br />
30 GHz structure (CLIC)<br />
11.4 GHz structure (NLC)<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 17
ω<br />
Pass band<br />
Higher order modes<br />
(HOM)<br />
Brillouin diagram<br />
synchronous<br />
interaction<br />
speed of light line,<br />
ω = k /c<br />
Stop band or band gap<br />
π 2 π<br />
k d = phase advance per cell<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 18
ω d/c<br />
2π<br />
π<br />
π/2<br />
0<br />
synchronous<br />
Brillouin<br />
Diagram<br />
speed of light line,<br />
ω = β /c<br />
π/2 k d<br />
π<br />
π<br />
2π/3<br />
π/2<br />
0<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 19
12<br />
11<br />
10<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
2<br />
Brillouin diagram TM 0n modes<br />
iris variation (parameter a ):<br />
blue solid: 1st cell (17 mm)<br />
red dashed: 32nd cell (13.3 mm)<br />
speed of light line<br />
0 30 60 90 120 150 180<br />
Brillouin diagram<br />
12<br />
11<br />
10<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
Brillouin diagram dipole modes<br />
iris variation (parameter a ):<br />
blue solid: 1st cell (17 mm)<br />
red dashed: 32nd cell (13.3 mm)<br />
2<br />
0 30 60 90 120 150 180<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 20
E r<br />
H r<br />
Fundamental accelerating<br />
mode (TM 0n )<br />
Higher order modes<br />
E v<br />
1 st dipole mode Higher order<br />
longitudinal mode (TM 0n )<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 21
“Choke mode cavity ”<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 22
TDS: Tapered Damped Structure<br />
accelerating mode: cut-off in waveguide<br />
shown |E|, color coding logarithmic<br />
Dipole mode: Poynting vector towards SiC load<br />
SiC load<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 23
Slotted iris structure<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 24
OP-:4024<br />
#1DGRAPH<br />
ORDINATE: WAKET<br />
COMPONENT: X<br />
FIXED COORDINATES:<br />
DIM...........MESHLINE<br />
X 11<br />
Y 1<br />
<strong>AB</strong>SCISSA: GEOMWAKE<br />
[BASE OF WAKET]<br />
REFERENCE COORDINATE: S<br />
VARY..........MESHLINE<br />
FROM 0<br />
TO 2994<br />
HOM damping at work<br />
FRAME: 1 01/06/00 - 17:06:38 VERSION[V4.024] SICA32.DRD<br />
transverse wake <strong>for</strong> 3 cells.<br />
offset 10 mm, 2.5 mm<br />
σ<br />
4.00<br />
2.00<br />
0.000E+00<br />
-2.00<br />
-4.00<br />
SI: A+3,10,4, B-5,CELL-6,15<br />
A: 1.700E+01 MM, B: 3.703E+01 MM.<br />
FOR REF., E.J., JUNE 2000<br />
X COMPONENT OF WAKE POTENTIAL IN V [INDIRECT CALC.]<br />
3 GHz SICA structure: Transverse wake suppression<br />
W [V/pC]<br />
t<br />
0.000E+00 0.500 1.00 1.50 2.00 2.50<br />
s [m]<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 25
SICA 3 GHz structures<br />
lined up waiting <strong>for</strong> installation mounted on the girder in CTF3<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 26
Beam Loading<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 27
Methods of<br />
beam loading<br />
compensation:<br />
Beam loading compensation<br />
Ramped <strong>RF</strong> pulse<br />
Staggered timing<br />
I.V. Syrachev, T.Higo:<br />
“Numerical investigation of transient<br />
beam loading compensation in JLC<br />
X-band main linac”, KEK Report 96-8<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 28
Superconducting <strong>RF</strong><br />
10.2 MV/ per cavity<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 29
115 MHz split-ring cavity, 172.5 MHz β = 0.19 “lollipop” cavity<br />
345 MHz β = 0.4 spoke cavity<br />
SC cavities <strong>for</strong> small β<br />
β = 0.021 <strong>for</strong>k cavity<br />
β = 0.03 <strong>for</strong>k cavity<br />
57.5 MHz cavities:<br />
β= 0.06 QWR<br />
(quarter wave resonator)<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 30
25 -35 MV/m<br />
TESLA/ILC SC cavities<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 31
Surface field [MV/m]<br />
10000<br />
1000<br />
100<br />
10<br />
Surface field breakdown limits<br />
Kilpatrick, 1957<br />
Wang&Loew '88, SLAC-pub-4647<br />
Wang&Loew '97, SLAC-pub-7684<br />
CLIC design<br />
c e E<br />
f in GHz, E c in MV/m<br />
1<br />
0.01 0.1 1 10<br />
Frequency [GHz]<br />
100<br />
Normal conducting, on Cu<br />
24.<br />
67<br />
f<br />
=<br />
4.<br />
25<br />
−<br />
Ec<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 32
Pulse length dependence<br />
6<br />
1<br />
−<br />
τ<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 33
CLIC HDS structure<br />
30 GHz, phase advance per cell: 70°,<br />
Cell length: 1.94 mm,<br />
Smallest iris diameter: 3 mm,<br />
accelerating gradient 150 MV/m,<br />
Max surface field 380 MV/m,<br />
max. ΔT 56 K,<br />
Optimized <strong>for</strong> Mo iris, CuZr cavities<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 34
E r<br />
HDS: Optimizing the cavity contour<br />
Field distribution in the optimized HDS cell geometry. The contour optimization is done to prevent hot spots.<br />
H r<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 35
HDS: Cu prototype<br />
1 cm<br />
E. <strong>Jensen</strong>, <strong>RF</strong> <strong>for</strong> <strong>Linacs</strong> 36