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This dissertation describes the development of the beam dynamics design of a novel superconducting linear accelerator. At a main operating frequency of 216.816 MHz, ions with a mass-to-charge ratio of up to 6 can be accelerated at high duty cycles up to CW operation. Intended for construction at the GSI Helmholtz Centre for Heavy Ion Research in Darmstadt, the focus of the work is on the beam dynamic design of the accelerator section downstream of the high charge injector (HLI) at an injection energy of 1.39 MeV/u. An essential feature of this linear accelerator (Linac) is the use of the EQUUS (Equidistant Multigap Structure) beam dynamics concept for a variably adjustable output energy between 3.5 and 7.3 MeV/u (corresponding to about 12.4 % of the speed of light) with a required low energy spread of maximum 3 keV/u.
The GSI Helmholtz Centre for Heavy Ion Research is a large-scale research facility that uses its particle accelerators to perform basic research with ion beams. Research on super-heavy elements ("SHE") is a major focus. It is expected that their production and research will provide answers to a large number of scientific questions. The production and detection of elements with atomic numbers 107 to 112 (Bohrium, Hassium, Meitnerium, Darmstadtium, Röntgenium and Copernicium) was first achieved at GSI between 1981 and 1996.
Key to this remarkable progress in SHE research were continuous developments and technical innovations. On the one hand, in the field of experimental sensitivity and detection of the nuclear reaction products and, on the other hand, in the field of accelerator technology.
For the acceleration of the projectile beam, the UNILAC (Universal Linear Accelerator), which was put into operation in 1975, has been used at GSI so far. In the course of the reconstruction and expansion of the research infrastructure at GSI, a dedicated new particle accelerator, HELIAC (Helmholtz Linear Accelerator), is now under development to meet the special requirements of the beam parameters for the synthesis of new superheavy elements. Typically, the production rates of super-heavy elements with effective cross sections in the picobarn range are very low. Therefore, a high duty cycle (up to CW operation) is a key feature of HELIAC. Thus, the required beam time for the desired nuclear reactions can be significantly shortened.
Theoretical preliminary work by Minaev et al. and newly created knowledge about design, fabrication, and operation of superconducting drift tube cavities have laid the foundation for this work and thus the development of the HELIAC linear accelerator. It consists of a superconducting and a normal conducting part. Acceleration takes place in the superconducting part in four cryomodules, each about 5 m long. These contain three CH cavities, one buncher cavity, two solenoid magnets for transverse beam focusing, and two beam position monitors (BPMs).
The following 10 m long normal conducting part is primarily used for beam transport and ends with a buncher cavity. This is operated at a halved frequency of 108.408 MHz.
A key feature of this accelerator is the variability of the output energy from 3.5 to 7.3 MeV/u with a small energy uncertainty of ±3 keV/u maximum over the entire output energy range. For the development of HELIAC, the EQUUS beam dynamics concept used combined the advantages of conventional linac designs with the high acceleration gradients of superconducting CH-DTLs. By doubling the frequency (compared to the GSI high charge injector) to 216.816 MHz in the superconducting section and using CH cavities at an acceleration gradient of maximum 7.1 MV/m, an acceleration efficiency with superconducting drift tube structures that is unique in the world is made possible. At the same time, the compact lengths of the CH cavities ensure good handling for both production and operation. EQUUS leads to longitudinal beam stability in all energy ranges of the accelerator with the sliding motion of the synchronous phase within each CH cavity. The rms emittance growth is moderate in all levels. The modular design of the HELIAC with four cryomodules basically allows the Linac to be commissioned starting with the first cryomodule, the so-called Advanced Demonstrator. In the subsequent expansion stage with only the first two cryomodules of HELIAC, the lower limit of the energy range to be provided by HELIAC (3.5 MeV/u) can already be clearly exceeded, so that use in regular beam operation at GSI is already conceivable from here on.
By means of error tolerance studies, the stability of the HELIAC beam dynamics design against possible alignment errors of the magnetic focusing elements and accelerator cavities as well as errors of the electric field amplitudes and phases have been investigated, basically confirmed and critical parameters have been determined. An additional steering concept via dipole correction coils at the solenoid magnets allows transverse beam control as well as diagnostics by means of two BPMs per cryomodule.
With completion of this work in 2021, the CH1 and CH2 cavities have already been built and are in the final preparation and cold test phase. In parallel, the development of the CH cavities CH3-11 has also been started.
Die vorliegende Dissertation stellt die Strahldynamikdesigns zweier Hochfrequenzquadrupol-Linearbeschleuniger bzw. Radio Frequency Quadrupoles (RFQs) vor: das fur den RFQ des Protonen-Linearbeschleunigers (p-Linac) des FAIR2-Projekts an der GSI3 Darmstadt sowie einen ersten Designentwurf für einen kompakten RFQ, der u.a. zur Erzeugung von Radioisotopen für medizinische Zwecke genutzt werden könnte. Der Schwerpunkt liegt auf dem ersten Design.
In this thesis, a novel 257 kHz chopper device was numerically developed, technically designed and experimentally commissioned; a 4-solenoid, low-energy ion beam transport line was numerically investigated, installed and experimentally commissioned; and a novel massless beam-separation system was numerically developed.
The chopper combines a pulsed electric field with a static magnetic field in an ExB or Wien-filter type field configuration. Chopped beam pulses with a 257 kHz repetition rate and rise times of 110 ns were experimentally achieved using a 14 keV helium beam.
Due to the achieved results, the complete LEBT line for the future Frankfurt Neutron Source FRANZ is ready to deliver a dc or a pulsed beam. At the same time, the LEBT section represents an attractive test stand for the study of low-energy ion beams. It combines magnetic lenses, which allow space-charge compensated beam transport, and a chopper system capable of producing short beam pulses in the hundred nanosecond range. Since these beam pulses are transported onwards, their longitudinal and transverse properties can be analyzed. The pulse duration and time of flight are well below the rise time for the space-charge compensation through residual gas ionization. This opens the possibility for dedicated investigations of the transport of short, low-energy beam pulses including longitudinal and transverse space-charge effects and of relevant issues like the dynamics of space-charge compensation and electron effects in short pulses.
The realization of a fast and robust closed orbit feedback (COFB) system for the on-ramp orbit correction at SIS18 synchrotron of FAIR project is reported in this thesis. SIS18 has some peculiar behaviors including on-ramp optics variation, very short lengths of the ramps (200 ms to 1 s) and a cycle-to-cycle variation of beam parameters. The realized fast COFB system being robust against above mentioned features of SIS18 is a first of its kind and the course to its realization led to some novel contributions in the field of closed orbit correction. A new method relying on the discrete Fourier transform (DFT)-based decomposition of the orbit response matrix (ORM) has been introduced, exploiting the symmetry in the arrangement of beam position monitors (BPMs) and the corrector magnets in the synchrotrons. A nearest-circulant approximation has also been introduced for synchrotrons having slight deviation from the symmetry, making the method applicable to a vast majority of synchrotrons. Moreover, the performance and the stability analysis of COFB systems in the presence of ORM mismatch between the synchrotron and the feedback controller is presented. The COFB systems are divided into slow and fast regimes and a new stability criterion consistent with measurements, is introduced. The practicality of the criterion is verified experimentally at COSY Jülich and is used for the analysis of various sources of ORM mismatch at SIS18. The commissioning of the SIS18 COFB system is also reported in detail which relies on Libera Hadron as the main hardware resource for the controller implementation. The on-ramp orbit correction is demonstrated for the horizontal plane of SIS18, for the disturbance rejection up to 600 Hz.
In der Experimentierhalle der Physik am Campus Riedberg der Goethe – Universität wird gegenwärtig die Beschleunigeranlage FRANZ aufgebaut. FRANZ steht für Frankfurter Neutronenquelle am Stern-Gerlach-Zentrum. Die Anlage bietet vielfältige Experimentiermöglichkeiten in der Untersuchung intensiver, gepulster Protonenstrahlen. Ein Forschungsschwerpunkt an den sekundären Neutronenstrahlen sind Messungen zur nuklearen
Astrophysik. Die Neutronen werden durch einen 2 MeV Protonenstrahl mittels der Reaktion 7Li (p, n) 7Be erzeugt. Die geplanten Experimente erfordern sowohl eine hier weltweit erstmals realisierte Pulsrepetitionsrate von bis zu 250 kHz bei Pulsströmen im 100 mA – Bereich als auch eine extreme Pulskompression auf eine Nanosekunde bei dann auftretenden Pulsströmen im Ampere – Bereich. Daneben ist auch ein Dauerstrich – Strahlbetrieb im mA – Strombereich möglich. Auch viele einzelne Beschleunigerkomponenten wie die Ionenquelle, der Chopper zur Pulsformung, die hochfrequent gekoppelte RFQ-IH-Kombination, der Rebuncher in Form einer CH – Struktur und der Bunchkompressor sind Neuentwicklungen. Mittlere Strahlleistungen von bis zu 24 kW treten im Niederenergiestrahltransportbereich auf, da die Ionenquelle grundsätzlich im Dauerstrich zu betreiben ist, auch bei Hochstrom mit hohen Pulsrepetitionsraten. Der Personen- und Geräteschutz spielt damit auch eine wesentliche Rolle bei der Auslegung des Kontrollsystems für FRANZ. Der Aufbau von FRANZ und seine wesentlichen Komponenten werden in Kapitel 2 erläutert. Die vielen unterschiedlichen Komponenten wie Hochspannungsbereich, Magneten, Hochfrequenzbauteile und Kavitäten, Vakuumbauteile, Strahldiagnose und Detektoren machen plausibel, dass auch das Kontrollsystem für eine solche Anlage speziell ausgelegt werden muss. In Kapitel 4 werden zum Vergleich die Konzepte zur Steuerung und Regelung aktueller, großer Beschleunigerprojekte aufgezeigt, nämlich für die „European Spallation Source ESS“ und für die „Facility for Antiproton and Ion Research FAIR“. In der vorliegenden Arbeit wurde die Ionenquelle als komplexe Beschleunigerkomponente ausgewählt, um Entwicklungen zur Steuerung und Regelung durchzuführen und zu testen. Zum Anfahren und Betreiben der Ionenquelle wurde ein Flussdiagramm (Abb. 5.15) entwickelt und realisiert. Im Detail wurden Untersuchungen zur Abhängigkeit der Heizkathodenparameter von der Betriebsdauer gemacht. Daraus konnte ein Algorithmus zur Vorhersage eines rechtzeitigen Filamentaustausches abgeleitet werden. Weiterhin konnte die Nachregelung des Kathodenheizstromes automatisiert werden, um damit die Bogenentladungsspannung innerhalb eines Intervalls von ± 0.5 V zu stabilisieren. Das Anfahren des Filamentstroms wurde ebenfalls automatisiert. Dazu wird die Vakuumdruckänderung in Abhängigkeit der Filamentstromerhöhung gemessen, ausgewertet und daraus der nächste erlaubte Stromerhöhungsschritt abgeleitet. Auf diese Weise wird der Betriebszustand schneller und kontrollierter erreicht als bei manuellem Hochfahren. Das Ziel eines unbemannten Ionenquellenbetriebs ist damit näher gerückt. In einem ersten Test zur Komponentensteuerung und zur Datenaufnahme wurde ein Ionenstrahl extrahiert und durch den ersten Fokussierungsmagneten – einen Solenoiden – transportiert. Es wurde der Erregungsstrom des Solenoiden sowie die Strahlenergie automatisch durchgefahren, die Daten abgespeichert und daraus ein Kontourplot zum gemessenen Strahlstrom hinter der Fokussierlinse erstellt (Abb. 5). Die vorliegende Arbeit beschäftigt sich nur mit den „langsamen“ Steuerungs- und Regelungsprozessen, während die schnellen Prozesse im Hochfrequenzregelungssystem unabhängig geregelt werden. Neben der Überwachung des Betriebszustandes aller Komponenten werden auch alle für den Service und die Personensicherheit benötigten Daten weggeschrieben. Das System basiert auf MNDACS (Mesh Networked Data Acquisition and Control System) und ist in JAVA geschrieben. MNDACS besteht aus einem Kernel, welcher die Komponententreiber-Software sowie den Netzwerkserver und das graphische Netzwerkinterface (GUI) betreibt. Weterhin gehört dazu das Driver Abstraction Layer (DAL), welches den Zugang zu weiteren Computern oder zu lokalen Treibern ermöglicht. CORBA stellt die Middleware für Netzwerkkommunikation dar. Dadurch wird Kommunikation mit externer Software geregelt, weiterhin wird die Umlegung von Kommunikation im Fall von Leitungsunterbrechungen oder einem lokalen Computerabsturz festgelegt. Es gibt bei FRANZ zwei Kontrollebenen: Über Ethernet läuft die „High Level Control“ und die Datenverarbeitung. Über die „Low Level Control“ läuft das Interlock – und Sicherheitssystem. Die Netzwerkverbindungen laufen über 1 Gb Ethernet Links, womit ein schneller Austausch auch bei lokalen Netzwerkstörungen noch möglich ist. Um bei Stromausfällen das Computersystem am Laufen zu halten, wurde im Rahmen dieser Arbeit ein „Uninterruptable Power Supply“ UPS beschafft und erfolgreich am Hochspannungsterminal getestet.
Zur effizienten Beschleunigung von Ionen wird meist nach deren Erzeugung in einer Ionenquelle ein Radio Frequenz Quadrupol verwendet. Die vorliegende Dissertation befasst sich mit Entwicklung, Bau und Messung des Prototyps eines neuartigen Leiter-RFQs, der bei 325 MHz betrieben wird. Der Leiter-RFQ verfügt über ein neuartiges mechanisches Design und versucht die Vorteile der beiden vorrangig im Betrieb befindlichen RFQ Typen, des 4-Rod und 4-Vane RFQs, zu verbinden. Die physikalischen Parameter sind der Spezifikation des RFQs für den geplanten Protonenlinac (p-Linac) am FAIR-Projekt an der GSI Darmstadt entnommen. Darüber hinaus wird der aktuelle Planungs- und Simulationsstand eines modulierten Prototyps mit der vollen Länge von ca. 3,5 m zur Durchführung von Strahltests dargestellt.
Design and optimization of the lattice of the superconducting synchrotron SIS300 for slow extraction
(2011)
The superconducting synchrotron SIS300 is planned to be built at the new Facility for Antiproton and Ion Research (FAIR), at GSI-Darmstadt [1]. SIS300 will be a versatile machine, which by means of a low-energy stretcher-mode or a high-energy ramped-mode will provide slowly extracted heavy ion beams towards the experimental areas. To reach the required maximum field of 4.5 T, cos(θ) magnets are necessary. Thus, SIS300 will become the first superconducting synchrotron worldwide with cos(θ) magnets providing resonant slow extraction.
Since SIS300 will be installed in the same tunnel as the SIS100 synchrotron, the dipole layout of SIS300 cannot be freely chosen. Thus, a standard lattice cannot be applied. A redesign of the SIS300 lattice accepting compromises concerning the positions and phase advances between the optical elements has been proposed. Using the analytical model of the slow extraction, firstly proposed by Kobayashi, and the analytical description of the resonance driving modes, a multiobjective optimization algorithm has been developed for the optimization of the lattice under the given boundary conditions. The final goal of the lattice optimization is a higher efficiency of the slow extraction. The results are evaluated by means of tracking simulations performed with the code Elegant.
The field quality in superconducting cos(θ) magnets is determined by the positions of the superconducting cable and the static and time-dependent effects of the current in the cable. Furthermore, the fast ramp rates of 1 T/s in the dipoles, which are fifty times faster than in any other superconducting cos(θ) magnet, together with the fact that the aperture is smaller than in conventional accelerator magnets, makes it extremely difficult to obtain a high-quality magnetic field. The unavoidable field errors affect the beam dynamics and worsen the slow extraction efficiency. Therefore, the field errors in the SIS300 dipoles have been estimated, and their effects have been taken into account in the optimization algorithm. As a result a compensation scheme has been proposed, in which time-dependent gradients in the sextupoles counteract the decay of the sextupole field errors in the dipole magnets during the slow extraction. For the limits where the compensation was no longer possible, tolerances to the magnet field errors have been determined.
The development of the designs of the superconducting CH cavities of the HELIAC project from CH0 [27] to CH1 and CH2 [1] has undergone permanent improvements and adaptations based on the learned experiences of each previous cavity. For example, the design of CH1 and CH2 focused on mechanical stabilization and optimization of performance by minimizing peak electric and magnetic fields. As a result, the changes made there were already able to increase stability and performance compared to CH0 by simplifying the design in different ways. The process of designing both cavities was time reasonable, since they are identical in construction and thus only one design had to be developed. However, for both the development and manufacturing of an entire accelerator of individual CH cavities, this type of design would become too time consuming and costly. In order to reduce this time-consuming design process and accelerate the fabrication of superconducting CH cavities, and also reduce costs, a modular cavity design for mass production of superconducting CH cavities was developed as presented in this thesis. In the following section, the conclusions gained in this work and the results already presented will be summarized once again.
So in the first chapters of this thesis the theoretical foundations were laid, which are necessary for the description of superconducting cavities and for their development process, like a theoretical description of superconductivity itself (see chapter 2), the physical basics of RF-acceleration and of the CH cavity (see chapter 3), but also the effects that limit the superconducting cavities in terms of acceleration (see chapter 4) or the properties and laws from structural mechanics needed in later measurements and simulation (see chapter 5). Based on the theoretical foundations given in these sections, all measurements, evaluations and simulations made in the following sections were made.
Cancer has become one of the most fatal diseases. The Heidelberg Heavy Ion Cancer Therapy (HICAT) has the potential to become an important and efficient treatment method because of its excellent “Bragg peak” characteristics and on-line irradiation control by the PET diagnostics. The dedicated Heidelberg Heavy Ion Cancer Therapy Project includes two ECR ion sources, a RF linear injector, a synchrotron and three treatment rooms. It will deliver 4*10 high 10 protons, or 1*10 high 10 He, or 1*10 high 9 Carbons, or 5*10 high 8 Oxygens per synchrotron cycle with the beam energy 50-430AMeV for the treatments. The RF linear injector consists of a 400AkeV RFQ and of a very compact 7AMeV IH-DTL accelerator operated at 216.816MHz. The development of the IH-DTL within the HICAT project is a great challenge with respect to the present state of the DTL art because of the following reasons: • The highest operating frequency (216.816MHz) of all IH-DTL cavities; • Extremely large cavity length to diameter ratio of about 11; • IH-DTL with three internal triplets; • The highest effective voltage gain per meter (5.5MV/m); • Very short MEBT design for the beam matching. The following achievements have been reached during the development of the IH-DTL injector for HICAT : The KONUS beam dynamics design with LORASR code fulfills the beam requirement of the HICAT synchrotron at the injection point. The simulations for the IH-DTL injector have been performed not only with a homogeneous input beam, but also with the actual particle distribution from the exit of the HICAT RFQ accelerator as delivered by the PARMTEQ code. The output longitudinal normalized emittance for 95% of all particles is 2.00AkeVns, the emittance growth is less than 24%, while the X-X’ and Y-Y’ normalized emittance are 0.77mmmrad and 0.62mmmrad, respectively. The emittance growth in X-X’ is less than 18%, and the emittance growth in Y-Y’ is less than 5%. Based on the transverse envelopes of the transported particles, the redesign of the buncher drift tubes at the RFQ high energy end has been made to get a higher transit time factor for this novel RFQ internal buncher. An optimized effective buncher gap voltage of 45.4KV has been calculated to deliver a minimized longitudinal beam emittance, while the influence of the effective buncher voltage on the transverse emittance can be neglected. Six different tuning concepts were investigated in detail while tuning the 1:2 scaled HICAT IH model cavity. ‘Volume Tuning’ by a variation of the cavity cross sectional area can compensate the unbalanced capacitance distribution in case of an extreme beta-lambda-variation along an IH cavity. ‘Additional Capacitance Plates’ or copper sheets clamped on drift tube stems are a fast way for checking the tuning sensitivity, but they will be replaced by massive copper blocks mounted on the drift tube girders finally. ‘Lens Coupling’ is an important tuning to stabilize the operation mode and to increase or decrease the coupling between neighboring sections. ‘Tube Tuning’ is the fine tuning concept and also the standard tuning method to reach the needed field distributions as well as the gap voltage distributions. ‘Undercut Tuning’ is a very sensitive tuning for the end sections and with respect to the voltage distribution balance along the structure. The different types of ‘plungers’ in the 3rd and 4th sections have different effects on the resonance frequency and on the field distribution. The different triplet stems and the geometry of the cavity end have been also investigated to reach the design field and voltage distributions. Finally, the needed uniform field distribution along the IH-DTL cavity and the corresponding effective voltage distribution were realized, the remaining maximum gap voltage difference was less than 5% for the model cavity. The several important higher order modes were also measured. The RF tuning of the IH-DTL model cavity delivers the final geometry parameters of the IH-DTL power cavity. A rectangular cavity cross section was adopted for the first time for this IH-DTL cavity. This eases the realization of the volume tuning concept in the 1st and 2nd sections. Lens coupling determines the final distance between the triplet and the girder. The triplets are mounted on the lower cavity half shell. The Microwave Studio simulations have been carried out not only for the HICAT model cavity, but also for the final geometry of the IH-DTL power cavity. The field distribution for the operation mode H110 fits to the model cavity measurement as well as the Higher Order Modes. The simulations prove the IH-DTL geometrical design. On the other hand, the precision of one simulation with 2.3 million mesh points for full cross section area and the CPU time more than 15hours on a DELL PC with Intel Pentium 4 of 2.4GHz and 2.096GRAM were exploited to their limit when calculating the real parameters for the two final machining iterations during production. The shunt impedance of the IH-DTL power cavity is estimated by comparison with the existing tanks to about 195.8MOmega/m, which fits to the simulation result of 200.3MOmega/m with reducing the conductivity to the 5.0*10 high 7 Omega-1m-1. The effective shunt impedance is 153 MOmega/m. The needed RF power is 755kW. The expected quality factor of the IH-DTL cavity is about 15600. The IH-DTL power cavity tuning measurements before cavity copper plating have been performed. The results are within the specifications. There is no doubt that the needed accuracy of the voltage distribution will be reached with the foreseen fine tuning concepts in the last steps.
The Facility for Antiproton and Ion Research (FAIR) at GSI Darmstadt will provide unprecedented intensities of protons and heavy ions up to uranium at energies of up to 29 GeV for protons and 2.7 GeV/u for Uranium 28+. To achieve high intensities in the synchrotron accelerators, high beam currents have to be provided by the injector linear accelerators. High current heavy ion beams are provided by the Universal Linear Accelerator (UNILAC), which in its current state will not be able to provide the required FAIR beam currents. This thesis deals with the development of upgrades for the UNILAC to ensure its high current capability. The first improvement is a matching section (MEBT) for the interface between the RFQ and the IH-DTL of the existing high current injector HSI at the UNILAC. With this new MEBT section, particle losses are eliminated and the overall beam quality is improved. As a second improvement, a complete replacement of the existing Alvarez-DTL is presented. A combination of efficient IH-type cavities and KONUS beam dynamics results in a reduction of the linac length from about 60 m (Alvarez) to just 23 m (new IH-DTL) while providing the same energy and fulfilling FAIR requirements of a high beam current and beam quality. This thesis contains a detailed beam dynamics design of the new linac including some fundamental investigations of the KONUS beam dynamics concept. A cross-check of the beam dynamics design was performed with two independent multi-particle simulation codes. Detailed error studies were conducted to investigate the influence of manufacturing, alignment and operating errors on the beam dynamics performance. Additionally, all five linac cavities were designed, optimized, and their RF parameters including power requirements calculated to provide a comprehensive linac design.