RF quadrupole focusing drift tube linac RF design
Drift tube linacs with quadrupole focusing based on Interdigital H-type (IH) resonators are used at medium energies of proton beams. The linac with spatially periodic quadrupole focusing designed by V.A. Teplyakov (SH-DTL, RFQ-DTL) provides enough energy gain rate and good focusing but it is too sop...
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irk-123456789-1087802016-11-16T03:02:49Z RF quadrupole focusing drift tube linac RF design Plastun, A.S. Polozov, S.M. Элементы ускорителей Drift tube linacs with quadrupole focusing based on Interdigital H-type (IH) resonators are used at medium energies of proton beams. The linac with spatially periodic quadrupole focusing designed by V.A. Teplyakov (SH-DTL, RFQ-DTL) provides enough energy gain rate and good focusing but it is too sophisticated at tuning. The DTL with magnetic quadrupole focusing is simpler then the first one at tuning but it is deprived of advantages of RF focusing. The IH-DTL linac proposed in Frankfurt University is new perspective but rare system. The new RF quadrupole focusing structure will be proposed in this paper. Such structure consists of periodic sequence of several number of drift tubes and RF quadrupole electrodes, located in the same IH-resonator. Different designs of the structure will be considered. Electrodynamic parameters of the one convenient structure will be determined. New structure will be compared with conventional DTL, RFQ-DTL and IH-DTL linacs. Линейные ускорители с трубками дрейфа и квадрупольной фокусировкой на основе H- (IH)-резонаторов используются в диапазоне средних энергий протонных пучков. Линейный ускоритель с пространственно-периодической квадрупольной фокусировкой, разработанный В.А. Тепляковым (SH-DTL), обеспечивает достаточный темп ускорения и хорошую фокусировку, но слишком сложный в настройке. Ускоритель с трубками дрейфа и магнитной квадрупольной фокусировкой проще в настройке, но он лишён преимуществ высокочастотной фокусировки. Такой ускоритель (IH-DTL), предложенный во Франкфуртском университете, является новой перспективной, но мало распространённой системой. В статье предложена новая структура с высокочастотной (ВЧ) квадрупольной фокусировкой. Такая структура состоит из периодической последовательности нескольких трубок дрейфа и ВЧ-квадрупольных электродов, расположенных в одном IH-резонаторе. Будут рассмотрены различные виды моделей структуры и определены некоторые электродинамические параметры наиболее привлекательных структур. Будет произведено сравнение новой структуры с традиционным ускорителем с трубками дрейфа, SH-DTL и IH-DTL. Лінійні прискорювачі з трубками дрейфу і квадрупольним фокусуванням на основі H- (IH)-резонаторів використовуються в діапазоні середніх енергій протонних пучків. Лінійний прискорювач з просторово-періодичним квадрупольним фокусуванням, розроблений В.О. Тепляковим (SH-DTL), забезпечує достатній темп прискорення і хороше фокусування, але занадто складний в налаштуванні. Прискорювач з трубками дрейфу та магнітним квадрупольним фокусуванням простіший в налаштуванні, але він позбавлений переваг високочастотного фокусування. Такий прискорювач (IH-DTL), який запропонований у Франкфуртському університеті, є новою перспективною, але мало розповсюдженою системою. У статті запропонована нова структура з високочастотним (ВЧ) квадрупольним фокусуванням. Така структура складається з періодичної послідовності декількох трубок дрейфу і ВЧ-квадрупольних електродів, розташованих в одному IH-резонаторі. Будуть розглянуті різні види моделей структури та визначені деякі електродинамічні параметри найбільш привабливих структур. Буде проведено порівняння нової структури з традиційним прискорювачем з трубками дрейфу SH-DTL і IH-DTL. 2012 Article RF quadrupole focusing drift tube linac RF design / A.S. Plastun, S.M. Polozov // Вопросы атомной науки и техники. — 2012. — № 4. — С. 29-32. — Бібліогр.: 4 назв. — англ. 1562-6016 PACS: 29.17.w, 29.27.Bd http://dspace.nbuv.gov.ua/handle/123456789/108780 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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Элементы ускорителей Элементы ускорителей Plastun, A.S. Polozov, S.M. RF quadrupole focusing drift tube linac RF design Вопросы атомной науки и техники |
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Drift tube linacs with quadrupole focusing based on Interdigital H-type (IH) resonators are used at medium energies of proton beams. The linac with spatially periodic quadrupole focusing designed by V.A. Teplyakov (SH-DTL, RFQ-DTL) provides enough energy gain rate and good focusing but it is too sophisticated at tuning. The DTL with magnetic quadrupole focusing is simpler then the first one at tuning but it is deprived of advantages of RF focusing. The IH-DTL linac proposed in Frankfurt University is new perspective but rare system. The new RF quadrupole focusing structure will be proposed in this paper. Such structure consists of periodic sequence of several number of drift tubes and RF quadrupole electrodes, located in the same IH-resonator. Different designs of the structure will be considered. Electrodynamic parameters of the one convenient structure will be determined. New structure will be compared with conventional DTL, RFQ-DTL and IH-DTL linacs. |
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Article |
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Plastun, A.S. Polozov, S.M. |
author_facet |
Plastun, A.S. Polozov, S.M. |
author_sort |
Plastun, A.S. |
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RF quadrupole focusing drift tube linac RF design |
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RF quadrupole focusing drift tube linac RF design |
title_full |
RF quadrupole focusing drift tube linac RF design |
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RF quadrupole focusing drift tube linac RF design |
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RF quadrupole focusing drift tube linac RF design |
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rf quadrupole focusing drift tube linac rf design |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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2012 |
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Элементы ускорителей |
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http://dspace.nbuv.gov.ua/handle/123456789/108780 |
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RF quadrupole focusing drift tube linac RF design / A.S. Plastun, S.M. Polozov // Вопросы атомной науки и техники. — 2012. — № 4. — С. 29-32. — Бібліогр.: 4 назв. — англ. |
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Вопросы атомной науки и техники |
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ISSN 1562-6016. ВАНТ. 2012. №4(80) 29
RF QUADRUPOLE FOCUSING DRIFT TUBE LINAC RF DESIGN
A.S. Plastun, S.M. Polozov
National Research Nuclear University MEPhI, Moscow, Russia
E-mail: dzed-plastun@yandex.ru; smpolozov@mephi.ru
Drift tube linacs with quadrupole focusing based on Interdigital H-type (IH) resonators are used at medium ener-
gies of proton beams. The linac with spatially periodic quadrupole focusing designed by V.A. Teplyakov (SH-DTL,
RFQ-DTL) provides enough energy gain rate and good focusing but it is too sophisticated at tuning. The DTL with
magnetic quadrupole focusing is simpler then the first one at tuning but it is deprived of advantages of RF focusing.
The IH-DTL linac proposed in Frankfurt University is new perspective but rare system. The new RF quadrupole
focusing structure will be proposed in this paper. Such structure consists of periodic sequence of several number of
drift tubes and RF quadrupole electrodes, located in the same IH-resonator. Different designs of the structure will be
considered. Electrodynamic parameters of the one convenient structure will be determined. New structure will be
compared with conventional DTL, RFQ-DTL and IH-DTL linacs.
PACS: 29.17.w, 29.27.Bd
INTRODUCTION
The requirements of low particle losses and high
currents of accelerating ion beams get RFQ more useful
as an initial section of the linac. However the rate of
energy gain in RFQ reduces with the energy increase. It
equals 0.5…0.7 of energy gain for IH-DTL for β ≈ 0.05.
Thus using of the conventional RFQ at medium energies
(β > 0.07) is impractical.
IH-DTL linac has several good performances at me-
dium energies. It provides high energy gain, high shunt
impedance and small tank diameter. The main problem
in design of medium energy sections of the linac is the
transverse beam focusing. The focusing by magnetic
quadrupole fields or axisymmetric RF fields (for example
alternating phase focusing, APF) are the most useful fo-
cusing types. Some of promising methods is Magnetic
Quadrupole Triplet Focusing (IH-DTL) [1] and Spatially
Periodic RF Quadrupole Focusing (RFQ-DTL) [2]. The
first one could has some problems for heavy ions and the
second one is complicated at design and tuning.
The Hybrid-RFQ (HRFQ) was proposed in [3]
basing on these observations. “Triplet” RFQ mode is
used in HRFQ in contrast to RFQ-DTL using “short
lens” mode. It allows to extend the focusing period
length and put inside the resonator more drift tubes. The
same concept was applied earlier in [1] with magnetic
quadrupole triplets.
We propose to use the mixed RFQ mode due to ap-
pointed requirements.
1. LATTICE CONFIGURATION
The idea is based on the several approaches [4]:
● The transverse acceptance of quadrupole lattice
decreases as 1/n with the focusing period increases.
● The focusing gradient G decreases as 1/n2 with
fixed strength of the lattice.
Here n is the number of “one-sign” lenses in the lattice.
Some variants of static quadrupole lattices are illus-
trated in Fig.1 [4], where LF – the focusing period.
FOD and Triplet lattices have the shortest period length
(on the approach that the lengths of “one-sign” lenses are
the same), FODO lattice allows putting twice more drift
tubes between lenses with acceptance reducing. FOF-
DOD lattice has one of the lowest acceptances, but it
allows reducing of the focusing gradient for four times.
It means that we can use twice bigger aperture to mini-
mize the acceptance reducing.
Fig.1. Some variants of static quadrupole lattices
2. RF QUADRUPOLE LENSES AND DRIFT
TUBES DESIGN
Results of the beam dynamics simulation show that
the most useful length of RF quadrupole electrode is
βzλ/2 in case of short lens and βzλ in case of doublet-
triplet mode. It should be mentioned that the aperture
radius of RF quadrupole lens can vary along the lens.
But it will not be considered for simplicity of view in
this paper.
One possible design of RF quadrupole lens was in-
vented by V.A. Teplyakov and applied in URAL-30 and
URAL-30M linacs in IHEP, Protvino [2]. The general
view of such lens is shown in Fig.2. It constitutes two
half drift tubes with quadrupole fingers joined to ends of
tubes in a gap. 2D electrical potential distribution in the
lens is shown in Fig.3. Distributions of longitudinal
component of electrical field (solid line) and vertical
component of electrical field (dash line) at the radius
equals to a half of aperture radius are shown in Fig.4.
The voltage between drift tubes is equal to 100 kV. The
electrostatic approach is used for this field simulation.
Fig.2. General view of RF quadrupole lens with fingers
ISSN 1562-6016. ВАНТ. 2012. №4(80) 30
Fig.3. 2D potential distribution in RF quadrupole lens
with fingers
Fig.4. Distribution of longitudinal and vertical
components of electrical field in RF quadrupole
lens with fingers
Fig.5. General view of 4-rod RF quadrupole lens
Other design of RF quadrupole lens is 4-rod design
[3]. It becomes popular design for 4-rod IH-RFQ [1].
General view of 4-rod RF quadrupole lens is shown in
Fig.5. It consists of four quadrupole rods joined in pairs
to corresponding rings (short and large radius drift
tube). 2D electrical potential distribution in the lens is
shown in Fig.6. Distributions of the longitudinal com-
ponent (solid line) and vertical component (dash line) of
electrical field at the radius equals to a half of aperture
radius are shown in Fig.7. Voltage between drift tubes is
100 kV.
Design of “rod and vane” RF quadrupole lens is
shown in Fig.8. It consists of two vertical rods and two
horizontal vanes. Unlike other designs this design pro-
vides only half of full voltage due to vanes connected to
the reonator sidewall.
It can be useful to place DTL and RF quadrupoles
into two different resonators with external coupling in
some cases. Simpler tuning and good linearity of focus-
ing fields can be provided by such scheme. RF quadru-
pole lens resonator is illustrated in Fig.9.
Fig.6. 2D potential distribution in 4-rod RF quadrupole
lens
Fig.7. Distribution of longitudinal and vertical compo-
nents of electrical field in 4-rod RF quadrupole lens
The focusing gradient distribution along the resona-
tor is shown in Fig.10. Uniform distribution of focusing
gradient appears due to the strict symmetry and stiffness
of single 4-vane resonator. Such quality of field distri-
bution can’t be obtained in any other design. Also this
design provides the possibility of intervane voltage
variation.
a
b
c
Fig.8. 3D (a), side (b) and top (c) views of “rod and
vane” RF quadrupole lens
ISSN 1562-6016. ВАНТ. 2012. №4(80) 31
a b
Fig.9. 3D view of 4 vane RF resonator (a)
and quadrupole electrodes (b)
Fig.10. Distribution of vertical components of electrical
field in 4-vane RF resonator
Nonzero transversal component of electrical field in
accelerating gap is one disadvantage of IH resonators. It
may cause the emittance growth. Therefore some field
correctors are used. Tuning washers joined to drift tubes
ends let us to minimize the transversal component of
electrical field. General view of drift tubes with washer
is shown in Fig.11. Vertical field component distribu-
tion at the longitudinal axis with (dash line) and without
(solid line) tuning washers are shown in Fig.12. The
amplitude of vertical component of electrical field was
reduced to 20 times.
Fig.11. General view of drift tubes with tuning washers
Fig.12. Distribution of vertical component of electrical
field at the axis with (dash) and without (solid)
tuning washers
3. RF RESONATOR
The RF model of the IH-resonator with RF quadru-
poles was proposed (see Fig.13, 15). It consists of DTL
and 4-rod βλ-length quadrupole (Fig.14). Several pa-
rameters of the resonator are represented in Table 1.
Fig.13. General view of IH – resonator
with RF quadrupoles
Fig.14. General view of RF quadrupole lens
Fig.15. Cross-section of the resonator
Table 1
Resonator parameters
Parameter Value
Operating frequency, MHz 150
Tank diameter, m 0,3
Tank length, m 1,2
β 0,05
Q0 7695
Effective shunt impedance,
MOhm/m
19,0
Types of lattice FOD, FOFDOD
4. COMPARISON WITH OTHER
STRUCTURES
The linac combines DTL and RF quadrupole focus-
ing sections has some advantages and disadvantages
comparatively other ion linacs in medium energy range
(Table 2.)
ISSN 1562-6016. ВАНТ. 2012. №4(80) 32
Table 2
Advantages and disadvantages of DTL
with RF quadrupole focusing over other linacs
Linac type Advantages of DTL with RF quad-
rupole focusing over other linacs
Conventional DTL
(Alvarez type)
- Smaller tank diameter
- Available for heavy and low
energy ions
- Higher rate of energy gain at π –
mode
- No individual power supply for
focusing
- Unserviceable focusing lenses
IH/CH-DTL
(PMQ inside DT)
- Unserviceable focusing lenses
SP-RFQ,
RFQ-DTL
(Double gap)
- Easier design, manufacturing and
tuning
IH/CH-DTL
(MQ Triplet)
- No individual power supply for
focusing
Linac type Disadvantages of DTL with RF
quadrupole focusing over other linacs
Conventional DTL
(Alvarez type )
- More strong influence of the
beam current loading
- Lower Q-factor
- Lower shunt impedance at β > 0.2
IH/CH-DTL
(PMQ at DT)
- Lower Q-factor and shunt im-
pedance
SP-RFQ,
RFQ-DTL
(Double gap)
- Lower transversal acceptance
due to lower focusing rigidity
IH/CH-DTL
(MQ Triplet)
- More complicated RF-design
- More overvoltage surfaces
CONCLUSIONS
The new RF quadrupole focusing DTL structure was
proposed. Different designs of RF quadrupole lenses
and drift tubes were considered. Electrodynamic pa-
rameters of proposed structure were determined. New
structure was compared with conventional DTL, RFQ-
DTL and IH-DTL.
REFERENCES
1. U. Ratzinger // Proc. of LINAC. 1996, v.1, p.288.
2. V.A. Teplyakov, et al. // Proc. of LINAC. 2004,
p.285.
3. P.N. Ostroumov, et al. // Nuclear Instruments and
Methods in Physics Research A 547. 2005, p. 259.
4. I.M. Kapchinsky. Theory of Linear Resonance Ac-
celerators. Moscow: «Energoizdat», 1982 (in Rus-
sian).
Статья поступила в редакцию 23.09.2011 г.
ЛИНЕЙНЫЙ УСКОРИТЕЛЬ С ТРУБКАМИ ДРЕЙФА И ВЫСОКОЧАСТОТНОЙ
КВАДРУПОЛЬНОЙ ФОКУСИРОВКОЙ
А.С. Пластун, С.М. Полозов
Линейные ускорители с трубками дрейфа и квадрупольной фокусировкой на основе H- (IH)-резонаторов
используются в диапазоне средних энергий протонных пучков. Линейный ускоритель с пространственно-
периодической квадрупольной фокусировкой, разработанный В.А. Тепляковым (SH-DTL), обеспечивает
достаточный темп ускорения и хорошую фокусировку, но слишком сложный в настройке. Ускоритель с
трубками дрейфа и магнитной квадрупольной фокусировкой проще в настройке, но он лишён преимуществ
высокочастотной фокусировки. Такой ускоритель (IH-DTL), предложенный во Франкфуртском университе-
те, является новой перспективной, но мало распространённой системой. В статье предложена новая струк-
тура с высокочастотной (ВЧ) квадрупольной фокусировкой. Такая структура состоит из периодической по-
следовательности нескольких трубок дрейфа и ВЧ-квадрупольных электродов, расположенных в одном IH-
резонаторе. Будут рассмотрены различные виды моделей структуры и определены некоторые электродина-
мические параметры наиболее привлекательных структур. Будет произведено сравнение новой структуры с
традиционным ускорителем с трубками дрейфа, SH-DTL и IH-DTL.
ЛІНІЙНИЙ ПРИСКОРЮВАЧ З ТРУБКАМИ ДРЕЙФУ І ВИСОКОЧАСТОТНИМ
КВАДРУПОЛЬНИМ ФОКУСУВАННЯМ
О.С. Пластун, С.М. Полозов
Лінійні прискорювачі з трубками дрейфу і квадрупольним фокусуванням на основі H- (IH)-резонаторів
використовуються в діапазоні середніх енергій протонних пучків. Лінійний прискорювач з просторово-
періодичним квадрупольним фокусуванням, розроблений В.О. Тепляковим (SH-DTL), забезпечує достатній
темп прискорення і хороше фокусування, але занадто складний в налаштуванні. Прискорювач з трубками
дрейфу та магнітним квадрупольним фокусуванням простіший в налаштуванні, але він позбавлений переваг
високочастотного фокусування. Такий прискорювач (IH-DTL), який запропонований у Франкфуртському
університеті, є новою перспективною, але мало розповсюдженою системою. У статті запропонована нова
структура з високочастотним (ВЧ) квадрупольним фокусуванням. Така структура складається з періодичної
послідовності декількох трубок дрейфу і ВЧ-квадрупольних електродів, розташованих в одному IH-
резонаторі. Будуть розглянуті різні види моделей структури та визначені деякі електродинамічні параметри
найбільш привабливих структур. Буде проведено порівняння нової структури з традиційним прискорювачем
з трубками дрейфу SH-DTL і IH-DTL.
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