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DELIVERABLE Number 2.1
352 MHz vs. 176 MHz
Injector Comparison & Choice
Authors:
Chuan Zhang, Horst Klein, Dominik Mäder, Holger Podlech,
Ulrich Ratzinger, Alwin Schempp, Rudolf Tiede, Markus Vossberg
First reporting period: 01/02/2011 – 31/07/2012
Date of issue of this report: 31/01/2012
Start date of project : 01/02/2011 Duration : 36 Months
MAX(Contract Number 269565)
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice Dissemination level: PU Date of issue of this report: 31/01/2012
DISTRIBUTION LIST
Name Comments
BAYLAC Maud, CNRS BIARROTTE Jean‐Luc, CNRS BOULY Frédéric, CNRS/TED BOUSSON Sébastien, CNRS BRUCKER Romain, EA DARGES Bernard, TED DE GERSEM Herbert, KUL ESSABAA Saïd, CNRS FERNANDEZ RAMOS Pedro, EA GARBIL Roger, EC GARDES Daniel, CNRS JUNQUERA Tomas, ACS KALININE Amélie, CNRS KLEIN Horst, IAP MARTIN‐SANCHEZ Juan, ADEX MASSCHAELE Bert, KUL NEVADO Antonio, ADEX PERROT Luc, CNRS PIERINI Paolo, INFN PIRES Rui, FE‐UCP PODLECH Holger, IAP ROGGEN Toon, KUL SAUGNAC Hervé, CNRS SIERRA Serge, TED SPYROU Smaragda, CNRS URIOT Didier, CEA VANDEPLASSCHE Dirk, SCK●CEN ZHANG Chuan, IAP
E‐copy of the document
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
3
TABLE OF CONTENTS
1. INTRODUCTION ................................................................................................................... 4
2. FROM EUROTRANS TO MAX: NEW DESIGN CONCEPTS FOR THE INJECTOR …….................. 6
2.1. 352 MHz vs. 176 MHz .................................................................................................. 6
2.2. Other Major Changes ……………………………………............................................................ 8
3. THE RFQ ACCELERATOR ……………………………......................................................................... 9
3.1. Design and Simulation Results ..................................................................................... 9
3.2. Simulation Based on the LEBT Output Distributions ................................................. 12
3.3. Error Studies ………………………………………………………….................................................. 15
4. THE CH‐DTL PART ……………................................................................................................. 16
4.1. Design and Simulation Results ................................................................................. 16
4.2. Error Studies ………………………………………………………….................................................. 19
5. CONCLUSIONS …................................................................................................................. 21
6. REFERENCES ...................................................................................................................... 23
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
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1. INTRODUCTION
Launched by the European Commission in 2005 and ended in 2010, EUROTRANS [1] was a
EUROpean research programme for the TRANSmutation of high level nuclear waste in an
accelerator driven system. As a successor of the EUROTRANS project, MAX [2], the so‐called
MYRRHA Accelerator eXperiment research and development programme, has been started in
2011 and will continue until 2014.
Different than EUROTRANS which was a pure research project, MAX is pursuing not only to
continue the R&D studies but also to deliver an updated consolidated design for the real
construction including prototyping and demonstration in Mol, Belgium.
Table 1: Specifications of the required proton beams for EUROTRANS & MAX.
Parameter EUROTRANS
XT‐ADS
EUROTRANS
EFIT MAX
Operation (Design) intensity [mA] 2.5 – 4 ( 5 ) 20 ( 30 ) 2.5 – 4 ( 5 )
Output energy [MeV] 600 800 600
Beam trip number >1s: <5 per 3‐month operation cycle >1s: <3 per year >3s: <10 per 3‐month
operation cycle
Beam stability (on target) Energy: ± 1 %, Intensity: ± 2 %, Beam Size: ± 10 %
Beam time structure CW, with 200μs zero‐current holes at 1 Hz repetition frequency
The specifications of the required proton beams for EUROTRANS (including both XT‐ADS
and EFIT phases) & MAX are listed in Table 1, where the most demanding requirement is that
the beam trips (i.e. the beam interruptions on the target) with “long” duration periods (in
the order of second) have been restricted to very small amounts, because such beam trips
will cause serious thermal stress and fatal damages to the sub‐critical core. These beam‐trip
limits are two or three orders of magnitude lower than typical values found with existing
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
5
accelerators [3], so the primary concern for the design of the EUROTRANS or MAX driver
linac is how to ensure such extremely high reliability.
In the table it’s also seen that, except the slightly different beam‐trip limit all other beam
specifications for MAX are identical to those for XT‐ADS. Therefore, it has been decided that
the layout of the driver linac for MAX will follow the reference design made for the XT‐ADS
phase of the EUROTRANS project. Fig. 1 shows the schematic plots of the driver linacs for
both EUROTRANS and MAX. It can be seen that the required MAX accelerator is very similar
to that for the XT‐ADS phase of EUROTRANS, except the linac front end.
Figure 1: The driver‐linac layout for EUROTRANS and MAX.
During the EUROTRANS project, a 352MHz, 17MeV, and upgradeable 5‐30mA injector,
which consists of one RFQ accelerator, two RT (room‐temperature) CH (Cross‐bar H‐mode)‐
DTL (Drift‐Tube Linac) cavities, and four SC (superconducting) CH‐DTL cavities, was designed
and successfully accepted as the reference design by the project [4]. As shown in Fig. 1, the
MAX injector will use the basic layout design from the EUROTRANS one, but some new
design strategies and approaches, e.g. different resonant frequency and different type of the
RFQ structure, have been proposed and applied to reach a more reliable CW operation at
reduced costs [5].
In this deliverable, the 352MHz injector designed for EUROTRANS and the 176MHz one for
MAX are compared in detail.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
6
2. FROM EUROTRANS TO MAX: NEW DESIGN CONCEPTS FOR THE INJECTOR
From EUROTRANS to MAX, some requirements have been changed. Cooled by liquid Pb‐Bi
eutectic, the MYRRHA reactor will have a thermal power of ~80MWth in the ADS mode. The
core geometry is optimized for an impinging proton beam energy of 600 MeV. Based on
these data, it is found that the required beam intensity varies between 2.5 and 4 mA,
depending on the burnup of the nuclear fuel [6]. Therefore, only 5mA will be taken as the
design beam intensity, and the higher design intensity, 30mA, is not an option any more.
Besides, the main differences for the linac front end are [5]: 1) The resonant frequency was
lowered by a factor of 2, i.e. from 352MHz to 176MHz. 2) The 4‐vane RFQ structure is now
replaced by the 4‐rod one. 3) The input and output energies of the RFQ were reduced from
0.05MeV and 3MeV to 0.03MeV and 1.5MeV, respectively. 4) The transition‐energy between
the warm CH‐DTL part and the cold one has been accordingly dropped to 3.5MeV.
2.1. 352 MHz vs. 176 MHz
The most important change in the injector design is that the resonant frequency is lowered
from 352MHz to 176MHz. The considerations for this change are as follows:
The main point is the fact, as indicated in Fig. 2, that the shunt impedance of an RFQ, Rp, is
roughly proportional to f ‐1.5. Therefore, a major advantage for adopting a half resonant
frequency is that the RF power consumption can be considably reduced.
The lower frequency also enables the use of the 4‐rod RFQ structure instead of the
originally proposed 4‐vane one. Fig. 3 compares these two kinds of mainstream RFQ
resonant structures. The 4‐vane structure works in the TE‐mode and its RF properties are
determined not only by the vanes but also by the cavity wall, while the 4‐rod one is actually a
chain of λ/4 resonators and its inner structure is almost independent to the cavity wall. The
pros and cons of the 4‐vane RFQ are that it has relatively even RF power density and could be
easily cooled, but it will have a large radial size at frequencies ≤200MHz and the construction
and tuning are relatively complicated and expensive due to very tight tolerances. In case of
the 4‐rod RFQ, it could always have a compact radial size and an easy construction, tuning,
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
7
and even repair, but its local RF power density is typically ~2 times higher. At frequencies
higher than 300MHz, the 4‐vane structure is certainly the best choice for CW operation, but
at 176MHz, the 4‐rod structure is more attractive.
Figure 2: A survey of Rp values for RFQ accelerators (the original plot with the data marked in
black is from [7]; in [8], the data marked in blue was added; the data marked in green are
newly added, where the value for the IFMIF‐EVEDA RFQ was kindly provided by Dr. A. Pisent).
Figure 3: RFQ resonant structures.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
8
2.2. Other Major Changes
As the test facility in Mol will be operated with beam intensities up to 4 mA, only 5mA will
be taken as the design intensity. Consequently, the inter‐vane voltage could have a drop from
65kV to 40kV in order to further reduce the RF power per length by ~40%.
The length of the RFQ could be kept constant by lowering the input and output energies by
40% and 50%, respectively. The 4m long structure which allows to use only one tank is in
principle similar to the SARAF RFQ [9] which can be operated in CW mode with much higher
power (more than 180kW) than we need for the MAX RFQ.
For the CH‐DTL, the input energy is now lowered from 3MeV to 1.5MeV. Though it brings
some difficulties to the beam dynamics design, it is favorable from the cavity design point of
view: 1) The effective shunt impedance Zeff which is roughly proportional to ß‐1 (see Fig. 4) is
increased by ~30%, which saves RF power as well as makes the cooling easier. 2) It could
compensate the cell length growth caused by the lowered frequency. Actually, the new
frequency is also helpful for the CH‐cavity design. For example, the first cell of the first RT‐CH
was lengthened from 3.4cm to 4.8cm, which provides more space for the field flatness
tuning.
Figure 4: RF power efficiency of multi‐cell structures [10, 11].
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
9
As in the EUROTRANS case, the two RT‐CHs will also cover an energy gain of 2MeV, but
both at 34% lower accelerating gradients Ea for further reducing RF power. In the new design,
the triplets have been moved further into the cavities (85mm instead of 35mm), which will
not only lead to a better field flatness but also save the drift space. In total, this part will be
still maintained compact.
The four SC‐CHs have been decided to keep working at Ea≈4MV/m. They will take over
some additional energy gain which was cut in the RFQ, so the total length will be somewhat
longer. However, only a 5mA beam will be fed into the MAX injector, so some focusing
elements from the previous design e.g. the 2nd rebuncher cavity and two solenoids could be
removed. Totally, the whole CH‐DTL part is even shorter. Moreover, the new SC‐CHs have
much less gaps, which makes the construction work (e.g. welding) easier and cheaper.
3. THE RFQ ACCELERATOR
Same to the EUROTRANS case, the beam dynamics design of the MAX RFQ was based on
the New Four‐Section Procedure (NFSP) [12, 13], an efficient design method for modern
RFQs, while the beam transport simulation was also performed with the PARMTEQM code
[14] using 105 input macro‐particles.
3.1. Design and Simulation Results
In Table 2, the detailed design and simulation results at 5mA for both the EUROTRANS RFQ
and the MAX RFQ are presented. For a good comparison, the corresponding parameters of
the SARAF RFQ for accelerating protons are also listed in the table. Obviously, from
EUROTRANS to MAX, the transmission and transverse output emittances are still very similar,
but the longitudinal output emittance is decreased considerably. In addition, the Kilpatrick
factor is now only 1, well below 1.8, a safe value proven by the LEDA RFQ for CW operation
[15]. And the minimum gap between electrodes is enlarged by 1mm. Both results are
favorable for leading to a very reliable CW operation. Generally speaking, the MAX RFQ has
quite similar main RF and geometric parameters to the built SARAF RFQ, so the Rp value
measured from the latter, 67 kΩm, could be used as a reference and we could easily estimate
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
10
that the RF power of the former is 23.5kW/m. The SARAF experiments have shown that for
one 8‐hour CW operation at 40kW/m only two beam trips (in the order of ms) happened and
the reached power record for CW operation is 50kW/m [16]. Therefore, it’s clear that the
MAX RFQ design is very reliable.
Comparing the EUROTRANS 4‐vane RFQ with the MAX 4‐rod RFQ, it should be aware of
course that the lower frequency would also be a corresponding advantage for the 4‐vane
RFQ, but would require a very bulky, heavy, and expensive cavity.
Table 2: RFQ parameters for EUROTRANS & MAX.
Parameter EUROTRANS@5mA MAX SARAF (H+)
f [MHz] 352 176 176
I [mA] 5 5 5
Win / Wout [MeV] 0.05 / 3 0.03 / 1.5 0.02 / 1.5
U [kV] 65 40 32.5
Es, max / Ek 1.7 1 0.8
amin [mm] 2.3 2.9 2.7
mmax 1.8 2.3 2.7
gmin [mm] 2.6 3.6 3.7
εint., n., rms [π mm‐mrad] 0.2 0.2 0.175
εoutt., n., rms [π mm‐mrad] 0.21 / 0.20 0.22 / 0.22 0.19* / 0.19*
εoutl., rms [π keV‐deg] 109 64.6 36*
L [m] 4.3 4.0 3.8
T [%] ~100 ~100 95.5*
T10mA [%] ~100 ~100 92.3*
Rp [kΩm] 61 (MWS) 67 (after SARAF) 67 (meas.)
Pc [kW] 300 (MWS, +20%) 94 60
* Simulated by A. Bechtold using the RFQSim code (no image effects or multipole effects).
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
11
At 5mA, the beam tranport plots for both the EUROTRANS RFQ and the MAX RFQ are
compared in Fig. 5.
Figure 5: Beam transport plots of the EUROTRANS (top) and MAX (bottom) RFQs.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
12
3.2. Simulation Based on the LEBT Output Distributions
Fig. 6 shows two versions of the LEBT (Low Energy Beam Transport) section designed by
J.‐L. Biarrotte for the MAX project [17].
Figure 6: Schematic layouts of the MAX LEBT (top: short version, bottom: long version) [17].
For the design of the MAX RFQ, a 4D‐Waterbag distribution was used. By taking the
output particle distributions from both short and long LEBT versions as the input
distributions, new RFQ simulations were performed. Fig. 7 and Fig. 8 show that the input and
output distributions at the beginning and at the exit of the RFQ for the different cases,
respectively.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
13
Figure 7: RFQ simulation results based on the short LEBT (top: transient, bottom: nominal).
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
14
Figure 8: RFQ simulation results based on the long LEBT (top: transient, bottom: nominal).
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
15
Table 3 summarizes the beam performance with different input distributions. It can be
seen that the beam‐loss situation and the transverse emittance growths are still very
satisfying in all cases. Induced by the wing‐form halo particles from both LEBT designs, all
output longitudinal emittances are somewhat bigger, but still acceptable.
Table 3: RFQ beam performance with different input distributions.
Parameter 4D‐WaterbagShort LEBT
transient
Short LEBT
nominal
Long LEBT
transient
Long LEBT
nominal
εint., n., rms [π mm‐mrad] 0.20 0.18 0.16 0.14 0.14
εoutx., n., rms [π mm‐mrad] 0.22 0.20 0.17 0.17 0.15
εouty., n., rms [π mm‐mrad] 0.22 0.20 0.16 0.17 0.15
εoutl., rms [π keV‐deg] 64.6 92.4 92.7 108 80
T [%] 100 99 98.5 98.2 98.6
3.3. Error Studies
The error studies have been carried out for the MAX RFQ with respect to seven input
parameters: the intensity, emittance, inter‐vane voltage, Twiss parameters, energy spread,
and spatial displacement, respectively. Table 4 gives the error settings, while Fig. 9 shows the
lowest transmission is higher than 97% in all tested cases.
Table 4: Error study settings and results of the MAX RFQ.
Parameter Start value End value Design value Step length Tmin [%]
Iin [mA] 0.5 9.5 5 1.5 99.9
εint., un. [π cm‐rad] 0.006 0.024 0.015 0.003 99.6
U [%] 97 103 100 1 99.8
Twiss α 0.28 1.48 0.88 0.2 97.9
Twiss ß [cm/rad] 2.48 5.48 3.98 0.5 97.5
ΔW [%] 2 12 0.0 2 ~100
δx [mm] 0.1 0.6 0.0 0.1 99.5
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
16
Figure 9: Transmission as a function of test step for different input parameters.
4. THE CH‐DTL PART
Same to the EUROTRANS case, the beam dynamics design of the MAX CH‐DTL was based
on the KONUS method [18], while the beam transport simulation was also performed with
the LORASR code [19]. Besides, the RF structure design was made using the MWS software.
4.1. Design and Simulation Results
In Table 5, the detailed design and simulation results at 5mA for both the EUROTRANS
CH‐DTL and the MAX CH‐DTL are compared. And in Fig. 10, the first room‐temperature CH
cavities and the first superconducting CH cavities of the EUROTRANS CH‐DTL and the MAX
CH‐DTL are shown.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
17
Table 5: CH‐DTL parameters for EUROTRANS & MAX.
EUROTRANS MAX
Veff Lcell ßavg Ea Veff Lcell ßavg Ea
[MV] [m] [MV/m] [MV] [m] [MV/m]
RB1 0.19 0.07 0.08 2.79 0.12 0.10 0.06 1.25
RT1 1.16 0.40 0.09 2.91 1.03 0.54 0.06 1.91
RT2 1.30 0.50 0.10 2.59 1.14 0.66 0.08 1.72
RB2 0.47 0.09 0.10 5.23 – – – –
SC1 2.54 0.63 0.11 4.00 3.50 0.87 0.10 4.02
SC2 3.22 0.81 0.14 3.99 3.98 1.01 0.13 3.94
SC3 3.74 0.94 0.16 3.99 4.18 1.07 0.16 3.89
SC4 3.76 1.05 0.18 3.57 4.09 1.07 0.18 3.82
Figure 10: 1st RT CH cavities (left) and 1st SC CH cavities (right)
for EUROTRANS (top) [20] and MAX (bottom) [21].
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
18
Figure 11: Beam transport plots of the EUROTRANS (top) and MAX (bottom) CH‐DTLs.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
19
In Fig. 11, the maximum transverse beam sizes along the accelerating channel are plotted
for EUROTRANS and MAX, respectively. In both cases, a large safety margin is available. At
the exit of the MAX injector, the phase spread is ~15° (1.36cm) and the energy spread is
~300keV. In the acceptance plot of the 17MeV, 352MHz Spoke cavity provided by J.‐
L. Biarrotte [22], it can be seen maximally a ~0.6ns (3.44cm) long beam with an energy
spread of ±300keV can be accepted.
4.2. Error Studies
Error studies have been also performed for the MAX CH‐DTL. Randomly generated by the
LORASR code, the introduced lens and cavity errors are Gaussian distributed and truncated at
the 2σ‐width within the ranges given in Table 6, where QMIS, QROT, VERR, and PERR are
indicating transverse lens offset errors, lens rotation errors, tank / gap voltage errors, and
tank phase errors, respectively.
Table 6: Error settings for the MAX CH‐DTL.
Error Type Error Settings
QMIS [mm] ΔX, ΔY =±0.1
QROT [mrad] Δφx, y=±1.5, φz=±2.5
VERR [%] ΔUgap=±5, ΔUtank=±1
PERR [°] ΔΦtank=±1
The common transverse beam envelopes for 100 non‐ideal CH‐DTLs and the additional rms
emittance growths caused by the above‐mentioned errors are plotted in Fig. 12 and Fig. 13,
respectively. Not only no beam loss has been observed, but also it’s clear that the beam
quality at the end of the injector is still kept good. The maximum additional rms emittance
growths for the x, y and z planes are only 8%, 12% and 15%, respectively.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
20
Figure 12: Common transverse beam envelopes with (red) and without (green) errors for the
MAX CH‐DTL.
Figure 13: Additional emittance growths caused by errors for the MAX CH‐DTL.
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
21
5. CONCLUSIONS
Fig. 14 shows the schematic layouts of both the 352MHz EUROTRANS injector and the
176MHz MAX injector together (scaled in length). In the RFQ part, the 4‐vane structure is
now replaced by a shorter 4‐rod cavity. In the CH‐DTL part, now some focusing elements i.e.
the 2nd rebuncher cavity and two solenoids are removed, the triplets are inserted more
deeply into the room‐temperature CH cavities, and steerer and diagnostics are now included.
The beam properties at the end of the injector allow transfer into the 352MHz Spoke cavities
and further acceleration in the main linac. As a result of all above‐mentioned new design
concepts and changes, the new layout is even 0.8m shorter at half the frequency.
Figure 14: The 17MeV injectors for EUROTRANS (top) and MAX (bottom).
An overview of the RF power consumption of the main RT cavities for the EUROTRANS and
MAX injectors is given in Fig. 15, where the value for the 4‐vane RFQ was given by the MWS
software with a safety margin of 20%, that for the 4‐rod RFQ was estimated using the
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
22
measured shunt‐impedance of the SARAF RFQ, 67kΩm [16], and those for the RT‐CHs were
obtained from MWS with a safety margin of 15%. Clearly, the total power consumption for
the warm part is considerably reduced, and more important that all power losses for the
MAX injector are well below 30kW/m, much lower than 50kW/m, a safe value for reliable
CW operation proven by the SARAF RFQ [16].
0
50
100
150
200
250
300
350
400
450
RFQ RT-1 RT-2 Total
EUROTRANS, Copper Power [kW]
MAX, Copper Power [kW]
EUROTRANS, Copper Power per Length [kW/m]
MAX, Copper Power per Length [kW/m]
Figure 15: RF power consumption of the main RT cavities.
To sum up, the new injector will have:
• A safer CW operation
o Lower power density (<<50kW/m).
o Greatly reduced sparking risk in the RFQ by increasing the minimum gap
between electrodes from 2.6mm to 3.6mm and decreasing the inter‐vane
voltage from 65kV to 40kV.
o Less components, so less error sources.
• Still good beam performance
o No beam losses.
o Small emittance growths.
• Reduced costs
o 4‐rod RFQ structure (easy construction, installation, tuning …).
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
23
o Lower copper power (cheaper RF sources & operation, easy cooling).
o Less focusing elements.
o Less gaps in the cold part (easier and cheaper welding).
o Shorter layout.
All above‐mentioned results have shown that the new design concepts and approaches,
especially to use 176MHz as the resonant frequency, will lead to a not only cost‐saving but
also more reliable injector for CW operation while keeping the beam dynamics performance
satisfying.
6. REFERENCES
[1] http://nuklear‐server.ka.fzk.de/eurotrans/.
[2] http://ipnweb.in2p3.fr/MAX/.
[3] N. Pichoff, H. Safa, “Reliability of Superconducting Cavities in a High Power Proton Linac”,
Proceedings of the 7th European Particle Accelerator Conference, Vienna, Austria, pp.
2049‐2051 (June 26‐30, 2000).
[4] C. Zhang, M. Busch, H. Klein, H. Podlech, U. Ratzinger, J.‐L. Biarrotte, “Reliability and
Current‐Adaptability Studies of a 352MHz, 17MeV, Continuous‐Wave Injector for an
Accelerator‐Driven System”, Phys. Rev. ST ‐ AB 13, 080101 (2011).
[5] C. Zhang, H. Klein, D. Mäder, H. Podlech, U. Ratzinger, A. Schempp, R. Tiede, “From
EUROTRANS to MAX: New Strategies and Approaches for the Injector Development”,
IPAC’11, San Sebastian, Spain, pp.2583‐2585 (September 2011).
[6] Dirk Vandeplassche, Jean‐Luc Biarrotte, Horst Klein, Holger Podlech, “The MYRRHA
Linear Accelerator”, Proceedings of the 10th International Topical Meeting on Nuclear
Applications of Accelerators, Knoxville, USA (April 3‐7, 2011).
[7] A. Schempp, Habilitationsschrift, Frankfurt University (1990).
[8] T. Sieber, PhD Thesis, Frankfurt University (2001).
[9] P. Fischer, PhD Thesis, Frankfurt University (2007).
[10] U. Ratzinger, Habilitationsschrift, Frankfurt University (1998).
[11] H. Podlech, Habilitationsschrift, Frankfurt University (2008).
[MAX] (D‐2.1) – 352 MHz vs. 176 MHz ‐ Injector Comparison & Choice
24
[12] C. Zhang, Z.Y. Guo, A. Schempp, R.A. Jameson, J.E. Chen, J.X. Fang, “Low‐Beam‐Loss
Design of a Compact, High‐Current Deuteron Radio Frequency Quadrupole Accelerator”,
Phys. Rev. ST ‐ AB 7, 100101 (2004).
[13] C. Zhang, A. Schempp, “Beam Dynamics Studies on a 200mA Proton Radio Frequency
Quadrupole Accelerator”, Nucl. Instrum. Methods Phys. Res., Sect., A, Volume 586, Issue
2, pp.153‐159 (2008).
[14] K.R. Crandall, LANL Internal Report, Nr. LA‐UR‐96‐1836 (Revised December 7, 2005).
[15] L.M. Young, “Simulations of the LEDA RFQ 6.7MeV Accelerator”, Proceedings of the
1997 Particle Accelerator Conference in Vancouver, B.C., Canada, pp. 2752‐2754 (May
12‐16, 1997).
[16] Discussions with Dr. A. Bechtold, NTG, Germany.
[17] J.‐L. Biarrotte, “MYRRHA LEBT Preliminary Design Report” (July 18, 2011).
[18] U. Ratzinger, R. Tiede, “Status of the HIIF RF Linac Study Based on H‐Mode Cavities”,
Nucl. Instrum. Methods Phys. Res., Sect., A, Volume 415, pp.229‐235 (1998).
[19] R. Tiede, G. Clemente, H. Podlech, U. Ratzinger, A. Sauer, S. Minaev, “LORASR Code
Development”, Proceedings of the 10th European Particle Accelerator Conference in
Edinburgh, Scotland, United Kingdom, pp. 2194‐2196 (June 26‐30, 2006).
[20] F. Dziuba, Diplom Thesis, Frankfurt University (2010).
[21] Dominik Mäder, Horst Klein, Holger Podlech, Ulrich Ratzinger, Markus Vossberg, Chuan
Zhang, “Development of CH‐Cavities for the 17 MeV MYRRHA‐Injector”, Proceedings of
the 2nd International Particle Accelerator Conference in San Sebastian, Spain, pp.2571‐
2573 (May 4‐9, 2011).
[22] J.‐L. Biarrotte, private communication.