Beams of polarized protons play an important part in the study of the spin dependence of the nuclear force by measuring the analyzing power in nuclear reactions. The source at iThemba LABS produces a beam of polarized protons that is pre-accelerated by an injector cyclotron (SPC2) to a energy of 8 MeV before acceleration by the main separated-sector cyclotron to 200 MeV for physics research. The polarized ion source is one of the two external ion sources of SPC2. Inside the ion source hydrogen molecules are dissociated into atoms in the dissociator and cooled to a temperature of approximately 30 K in the nozzle. The atoms are polarized by a pair of sextupole magnets and the nucleus is polarized by RF transitions between hyperfine levels in hydrogen atoms. The atoms are then ionized by electrons in the ionizer. The source has various sensitive devices, which influence beam intensity and polarization. Nitrogen gas is used to prevent recombination of atoms after dissociation. The amount of nitrogen and the temperature at which it is used plays a very important role in optimizing the beam current. The number of electrons released in the ionizer is influenced by the size and shape of the filament. Optimization of the source will ensure that beams of better quality (a better current and stability) are produced.

Thesis (M.S. in Physics)--United States Naval Postgraduate School, 1959. / "Physics and Mathematics" -t.p. Includes bibliographical references (p. 17).

Magister Scientiae - MSc / Beams of polarized protons play an important part in the study of the spin dependence of the nuclear force by measuring the analyzing power in nuclear reactions. The source at iThemba LABS produces a beam of polarized protons that is pre-accelerated by an injector cyclotron (SPC2) to a energy of 8 MeV before acceleration by the main separated-sector cyclotron to 200 MeV for physics research. The polarized ion source is one of the two external ion sources of SPC2. Inside the ion source hydrogen molecules are dissociated into atoms in the dissociator and cooled to a temperature of approximately 30 K in the nozzle. The atoms are polarized by a pair of sextupole magnets and the nucleus is polarized by RF transitions between hyperfine levels in hydrogen atoms. The atoms are then ionized by electrons in the ionizer. The source has various sensitive devices, which influence beam intensity and polarization. Nitrogen gas is used to prevent recombination of atoms after dissociation. The amount of nitrogen and the temperature at which it is used plays a very important role in optimizing the beam current. The number of electrons released in the ionizer is influenced by the size and shape of the filament. Optimization of the source will ensure that beams of better quality (a better current and stability) are produced. / South Africa

This thesis describes an investigation into the performance of different schemes for generating short x-rays pulses via synchrotron radiation emission. A review is given of the methods that have been previously proposed for this task. From this review, three leading schemes are selected for in-depth investigations, each of which explores the boundary of what is presently achievable in accelerator-based light sources. The first scheme generates short x-ray pulses by operating an electron storage ring in a quasi-isochronous state using a ‘low-alpha’ lattice. High and low emittance lattices are developed, studied through simulation and then implemented on the Diamond storage ring. Beam dynamics and bunch length measurements are presented for a variety of machine conditions, and an assessment is made of the minimum practically achievable bunch length for stable user operation. Radiation pulses of 1 ps r.m.s. are demonstrated using this scheme. The second and third schemes investigate performance limits for a linac-based light source through numerical simulations. The first of these generates ultra-short pulses by passing a highly compressed electron bunch through a long undulator to radiate in the ‘single-spike’ regime. A comparison is made with theoretical predictions for the required electron bunch length to operate in this way, which highlights the need for accurate start-to-end simulations. The final scheme generates ultra-short x-ray pulses through laser manipulation of the electron bunches. The modulated electrons pass through a long undulator with tapered gap, such that only the centre of the modulated portion experiences high free-electron laser (FEL) gain. A method to enhance the FEL output from this scheme using a wavelength filter and grating-compressor is investigated. The sensitivity of the two schemes to jitter sources is determined, and it is demonstrated both schemes are capable of generating GW-level, fully coherent sub-fs soft x-ray pulses. Such pulses would open up the development of time-resolved science to new regimes.

The Vlasov technique is used to model the electron cooling force. Limitations of the applicability of the method is obtained by considering the perturbations of the electron plasma. Analytical expressions of the electron cooling force, valid beyond the Coulomb logarithm approximation, are derived and compared to numerical calculations using adaptive Monte Carlo integration. The calculated longitudinal cooling force is verified with measurements in CELSIUS. Transverse damping rates of betatron oscillations for a nonlinear cooling force is explored. Experimental data of the transverse monochromatic instability is used to determine the rms angular spread due to solenoid field imperfections in CELSIUS. The result, θrms= 0.16 ± 0.02 mrad, is in agreement with the longitudinal cooling force measurements. This verifies the internal consistency of the model and shows that the transverse and longitudinal cooling force components have different velocity dependences. Simulations of electron cooling with applications to HESR show that the momentum reso- lution ∆p/p smaller than 10−5 is feasible, as needed for the charmonium spectroscopy in the experimental program of PANDA. By deflecting the electron beam angle to make use of the monochromatic instability, a reasonable overlap between the circulating antiproton beam and the internal target can be maintained. The simulations also indicate that the cooling time is considerably shorter than expected.

The development of charged particle accelerators is today reaching far beyond the realm of fundamental particle physics research. Many non-trivial social and political problems may find part of their solution lies in accelerator physics. For example, with fossil fuels becoming ever more controversial and expensive to obtain, the use of Accelerator Driven Sub-critical Reactors (ADSR) powered by rapid cycling, high current proton accelerators and thorium fuel could become part of the energy solution. Through the simplicity of the Bragg peak, cancer therapy could be enhanced through the use of high repetition rate, variable energy proton accelerators small enough to use in treatment centres. The growing problem of long lived nuclear waste storage could become a moot point through the use of high current, high power proton accelerators coupled with neutron spallation. These rapidly growing areas of study are fuelled by the development of the Fixed-Field Alternating-Gradient (FFAG) accelerator, and more recently the non-scaling FFAG. The FFAG has the ability to accelerate high current, low quality bunches of particles in very short time scales due to the fixed-field nature of its magnets. This rapid acceleration can be of the order 500 nanoseconds to 1 microsecond meaning a fast cycling rate of the machine is possible. This allows the realistic development of the ADSR, proton therapy machine and even the muon accelerator. The Electron Model with Many Applications (EMMA) accelerator is the world's first linear non-scaling FFAG and is an electron proof-of-principle accelerator based at Daresbury Laboratory, UK. EMMA can accelerate over its energy range of 10 - 20 MeV in approximately 5 - 10 machine revolutions (~275 - 500 nanoseconds) using fixed-frequency novel acceleration techniques. The accelerator contains fixed-field, constant gradient quadrupole magnets which provide all the bending and focussing to the particles. Due to the linear non-scaling nature of EMMA, many transverse integer tune values are crossed which typically cause resonant effects resulting in bunch degradation and loss. It was proposed and demonstrated that rapid crossing (in 5 - 10 turns) of integer tune values in EMMA did not result in transverse amplitude growth and particle loss. If the wider societal goals of the non-scaling FFAG are to be realised, protons and other heavy ions must be accelerated. Current technological limitations dictate that longer acceleration times of the order 1000's of turns would be necessary in proton machines of similar design to EMMA. Hence slower integer tune crossing was studied using acceleration in a synchrotron bucket in EMMA. It was found experimentally that below the nominal EMMA operating acceleration rate of 2.0 MV per turn, instabilities begin to manifest. This was indicated in the growth of closed orbit distortion (COD) and through simulation it was found that betatron amplitude growth coupled with COD resulted in eventual loss of particles to the physical aperture when crossing integer tunes. Through simulation, the amplitude growth of particles crossing integer tunes in the EMMA non-scaling FFAG was found to agree with a theory of resonance crossing proposed by R. Baartman. This theory shows that amplitude growth is proportional to $1/\sqrt(Q')$ where $Q'$ is the tune crossing rate of the particles. This means that the slower the acceleration, the slower an integer tune is crossed and hence more amplitude is gained. It was also shown that strength of the magnetic errors driving the resonant conditions was proportional to the amplitude growth.

Particle accelerators are indispensable tools for probing matter at the smallest scales and the improvements of such tools depend on the progress and understanding of accelerator physics. The Compact Linear Collider (CLIC) is a proposed, linear electron–­positron collider on the TeV-scale, based at CERN. In such a large accelerator complex, diagnostics and alignment of the beam are crucial in order to maintain beam quality and luminosity. In this thesis we have utilized the nonlinear fields from the octupole component of the radio-frequency fields in the CLIC accelerating structures for beam-based diagnostics. We have investigated methods where the nonlinear position shifts of the beam are used to measure the strength of the octupole component and can also be used for alignment. Furthermore, from the changes in transverse beam profile, due to the nonlinear octupole field, we determine the full transverse beam matrix, which characterizes the transverse distribution of the beam. In circular accelerators, nonlinear fields result in nonlinear beam dynamics, which often becomes the limiting factor for long-term stability. In theoretical studies and simulations we investigate optimum configurations for octupole magnets that compensate amplitude-dependent tune-shifts but avoid driving fourth-order resonances and setups of sextupole magnets to control individual resonance driving terms in an optimal way.

As part of the Large Hadron Collider high luminosity upgrade it is proposed to include crab cavities and large aperture niobium tin final focussing magnets in the lattice in order to enhance the luminosity. In this thesis the dynamics of a proposed cavity design were considered in terms of their impact upon the dynamic aperture of the machine. Taylor maps for the cavity were created and used to perform this analysis with a full assessment of their validity. A set of symplectic thin cavity models were also developed and cross checked with the Taylor maps. Finally, dynamic aperture studies were performed using these models in order to determine which components of the crab cavity dynamics are important when considering the long term stability of the beam in the LHC upgrade. It is shown that crab cavities exhibit little impact on the LHC beam stability. For the final focussing magnets a preliminary study was conducted into the importance of including their fringe fields in a model of the LHC upgrade. A technical study was carried out into developing a symplectic model which was compatible with the current magnet models use for dynamic aperture studies. A preliminary dynamic aperture study was performed with the inclusion of fringe fields for the final focussing magnets from which the fringe fields are shown to have a negative impact on the long term beam stability.

Un défi important pour les futurs collisionneurs linéaires électron-positron est de pouvoir focaliser le faisceau à des tailles transverses de l’ordre du nanomètre au point d’interaction (IP), permettant d’atteindre la luminosité de conception. Le système délivrant les faisceaux d’e- et de e + de la sortie du Linac principal vers le point d’interaction, le Beam Delivery System (BDS), réalise les fonctions critiques requises pour atteindre l’objectif de luminosité, tel que la collimation et la focalisation du faisceau. Le faisceau est focalisé par le système de focalisation finale (FFS) tout en corrigeant les aberrations d’ordre supérieur propagées le long du système. Les effets chromatiques contribuant à l’élargissement de la taille du faisceau, sont amplifiés par la force de focalisation des deux derniers quadripôles QF1 et QD0, ou doublet final (FD), et par la longueur de la distance focale finale L* entre QD0 et l’IP. L’approche de correction de la chromaticité retenue pour les deux grands projets actuels de collisionneurs linéaires, CLIC et ILC, est fondée sur la correction locale de la chromaticité générée par le doublet final. Ce schéma est actuellement testé à l’ATF2 au KEK (Japon). Ce travail de thèse se concentre sur les problématiques liées au système de focalisation finale du projet CLIC re-optimisé avec un plus long L*, dans le cadre de la simplification de l’interface machine-détecteur (MDI), ainsi que sur le travail expérimental conduit à l’ATF2 pour l’optimisation et l’étude des optiques du système de focalisation finale à ultra-bas β* incluant les tout premiers est in situ des octupôles à l’ATF2. / The future machines considered to carry out high precision physics in the TeV energy regime are electron-positron (e+e−) linear colliders. Future linear colliders feature nanometer beam spot sizes at the Interaction Point. The Beam Delivery System (BDS) transports the e + and e− beams from the exit of the linacs to the IP by performing the critical functions required to meet the CLIC luminosity goal such as beam collimation and focusing. The beam is focused through the Final Focus System while correcting higher order transport aberrations in order to deliver the design IP beam sizes. The chromatic contributions are amplified by the focusing strength of the two last quadrupoles named QD0 and QF1, reffered to as the Final Doublet (FD), and by the length of the final focal distance L* between QD0 and the IP. The chromaticity correction approach chosen for the CLIC FFS is based on the Local chromaticity correction scheme which uses interleaved pairs of sextupole magnets in the FD region in order to locally and simultaneously correct horizontal and vertical chromaticity. The current linear collider projects, the Compact Linear Collider (CLIC) and the International Linear Collider (ILC) have FFS lattices based on the Local Chromaticity correction scheme. This scheme is being tested in the Accelerator Test Facility 2 (ATF2) at KEK (Japan). This thesis concentrates on problems related to the optimization of BDS lattices for the simplification of the CLIC Machine Detector Interface (MDI) and on the experimental work for the implementation and study of a CLIClike FFS optics for the ATF2, referred to as ultra-low β* optics.

As a cutting-edge technology for photoinjectors, SRF guns are expected to provide CW electron beams with high bunch charge and low emittance, which is critical to the development of future FELs, ERLs and 4th/5th generation light sources. However, existing research has not explored the full potential of SRF guns as predicted by theory. Currently, the research activities at ELBE focus on solving technological challenges of a 3.5 cell SRF gun as well as applying it to high-bunch-charge experiments. This thesis aims to optimize the ELBE SRF gun and the relevant beam transport for future high-bunch-charge applications at pELBE, nELBE, TELBE and CBS experimental stations. Chapter 1 describes the demands of these applications on the SRF gun in detail. Chapter 2 outlines the development of a simulation tool based on ASTRA and Elegant, followed by the optimized gun parameters and the beam transport for the four experimental stations. Chapter 3 introduces beam diagnostic methods and data processing applied in this thesis. Chapter 4 presents results of experiments, including the pulse length measurement of the UV laser for generating electrons from the photcathode, the commissioning of ELBE SRF Gun II, a verification experiment on the LSC effect conducted at PITZ and a beam transport experiment with the bunch charge of 200 pC. Simulation results have determined the effect of each SRF gun parameter on the beam quality and have provided optimized settings according to the requirements in Chapter 1. Experimentally, the LSC effect was confirmed at PITZ, in agreement with simulations which indicated that LSC significantly influences beam quality. The performance of ELBE SRF Gun II was improved and a beam with a bunch charge of 200 pC and an emittance of 7.7 μm from ELBE SRF Gun II has been transported through ELBE without visible beam loss. The development of the simulation tool and beam diagnostics will serve further research at ELBE. Results of both simulations and experiments enrich the understanding of the existing SRF gun as well as the ELBE beamline and will guide continuing improvements. Already, ELBE SRF Gun II can deliver twice the bunch charge and lower emittance compared to the thermionic injector routinely used for ELBE. Ongoing modifications and development of the gun-cavity and photocathodes are expected to provide still further improvements. Progress on high-bunch-charge experiments at ELBE can be expected by applying the SRF gun.