La spectroscopie du proton issu de la décroissance du neutron donne un accès complémentaire à lambda (rapport des constantes de couplage faibles gA/gV) et permet la recherche de physique au-delà du Modèle Standard. Au sein des expériences, les protons de basse-énergie (E<751.4 eV) sont guidés et sélectionnés grâce à des champs électromagnétiques. La connaissance précise du potentiel électrostatique est primordiale car celui-ci peut biaiser la sélection des protons. Il faut une précision de quelques mV dans les expériences de spectroscopie du proton aSPECT et PERC pour leur permettre d’atteindre la précision de mesure désirée. Comme les conditions expérimentales impactent le champ (effets de température sur la position des électrodes et leur fonction de travail, condition de surface, pièges qui se chargent etc.), il est nécessaire de pouvoir effectuer la mesure du champ électrostatique in-situ. D’autres effets systématiques sont reliés à la détection de protons: résolution du détecteur, homogénéité, probabilité de rétrodiffusion etc. in-situ.Les objectifs de ce projet sont de créer des sources de calibration pour des mesures électrostatiques in-situ et la caractérisation de détecteurs de protons et de construire une chambre d’essai dédiée à la caractérisation et l’optimisation des sources.Pour les mesures électrostatiques, la modération des positrons a été identifiée comme prometteuse. Ce processus crée un faisceau de particules chargées positivement avec une largeur spectrale très faible (FWHM de quelques dizaines de meV) et avec une distribution angulaire bien définie. Un tel faisceau pourrait permettre de comparer, au sein du spectromètre, les différences de potentiels entre des électrodes.Pour la caractérisation des détecteurs, les sources de protons disponibles sur le marché sont difficiles à coupler aux forts champs magnétiques et induisent souvent une détérioration de la qualité du vide dans les expériences, rendant ardue l’utilisation d’un détecteur sous haute tension (entre -15 et -30 kV). La Désorption Stimulée par Electrons (ESD) de l’hydrogène adsorbé sur la surface d’un cristal s’avère posséder les qualités requises: une distribution en énergie piquée et bien définie et une compatibilité avec l’ultravide.Le spectromètre aSPECTino a été créé en tant que système de test. C’est un filtre MAC-E qui utilise des champs EM pour guider et sélectionner les particules chargées de basse énergie avant de les détecter à l’aide d’un détecteur sous haute tension pour accélérer les particules sélectionnées. Dans le spectromètre règne un champ magnétique entre 3.5 et 16 mT qui est suffisant pour confiner les positrons de basse-énergie. Les protons de basse-énergie avec un faible moment radial peuvent aussi être guidés vers le détecteur.CALIPSO, qui signifie CALIbration Positron/proton SOurce, est une source de calibration deux en un : elle peut fournir indépendamment des positrons et des protons et est basée autour d’un cristal de tungstène (110). Pour la source de positrons ce cristal est couplé à une source de positron 22Na. Il sert alors de modérateur et réémet une fraction des positrons primaires issus de la source 22Na avec une faible énergie et une distribution angulaire et spectrale étroite. Dans la configuration proton le même cristal est utilisé en tant que substrat pour l’adsortion d’hydrogène. L’ESD est induit par les électrons émis par une source thermoionique et frappants le cristal de tungstène.Cette thèse présente les processus physiques utilisés pour créer les faisceaux de positrons et de protons de basse-énergie de CALIPSO ainsi que la conception et le développement du spectromètre aSPECTino et de la source CALIPSO. Elle présente les premiers résultats expérimentaux de la caractérisation préliminaire d’aSPECTino et de CALIPSO. Les performances attendues de CALIPSO pour ses deux configurations et pour la sensibilité de comparaison des potentiels d’électrodes sont dérivés et démontrés à l’aide de simulations. / Proton spectroscopy in neutron beta decay gives a complementary access to $lambda$ (ratio of the weak coupling constants gA/gV and enables new searches for physics beyond the Standard Model. In experiment, low-energy protons (E< 751.4 eV) are usually guided and selected using electromagnetic fields. Precise knowledge of the electrostatic potentials is mandatory as it can drastically bias proton selection. For instance, electrostatic potentials have to be known with an accuracy of a few mV in the proton spectroscopy instruments aSPECT and PERC in order to reach their aspired precision. As experimental conditions can directly impact the field (temperature effects on electrode position and work function, surface conditions, charging traps, etc.), it is mandatory that electrostatic measurements are performed in-situ. Further systematic effects are related to proton detection. In addition to prior off-line detector characterization, it is important to verify detector resolution, homogeneity, backscattering probability etc. in-situ. The protons from neutron decay itself are not suitable for this purpose because of their broad energy distribution and insufficient localization.The goals of this project were to create calibration sources for in-situ electrostatic measurements and proton detector characterizations and to build a dedicated test setup to characterize and optimize the sources.For electrostatic measurements, the process of positron moderation was identified as most promising. Positron moderation creates a beam of positively charged particles with a very narrow energy spread (FWHM of a few tens of meV) and with a well-defined emission angular distribution. Such a beam would allow to directly compare, inside the spectrometer, potential differences between different electrodes.For detector characterization, available commercial proton sources are difficult to couple to high magnetic fields and often induce a deterioration of the vacuum quality in experiments, making it complicated to use detection systems at high voltage (-15 to -30 kV). Electron Stimulated Desorption (ESD) of hydrogen adsorbed on a crystal surface was found to provide the desired properties: a sharp and well-defined energy distribution of the created proton beam and compatibility with ultrahigh vacuum.The aSPECTino spectrometer was built as test setup. It is a MAC-E filter which uses electro-magnetic fields to guide and select low-energy charged particles before detecting them in a solid-state detector. The detector is set at high voltage to post-accelerate the selected particles. The resistive coils of the spectrometer produce a magnetic field between 3.5 and 16 mT which is sufficient to confine low-energy positrons. Low-energy protons with a small radial momentum component can also be effectively guided onto the detector.CALIPSO, which stands for CALIbration Positron/proton SOurce, is a two-in-one calibration source: one apparatus is designed to provide, not at the same time, both positrons and protons. Its core is a tungsten (110) crystal. In the case of positrons the tungsten crystal is coupled to a 22Na positron source. The crystal serves as positron moderator and re-emits a fraction of the primary positrons from the Na source, with low energy and a small angular and energy spread. In the proton configuration the same crystal is used as substrate for adsorbed hydrogen. ESD is induced by electrons emitted from a hot cathode and hitting the tungsten crystal.This thesis introduces the physical processes used to create the low-energy positron and proton beams of CALIPSO as well as the design and the development of both the aSPECTino spectrometer and the CALIPSO source. It presents first experimental results of the preliminary characterizations of aSPECTino and CALIPSO. The expected performances of CALIPSO in both configurations and the sensitivity for comparisons of electrode potentials are derived and demonstrated by simulations.

Cette thèse est dédiée à l'analyse de signaux électriques quantiques dans les canaux de bords de l'effet Hall quantique. En particulier, j'ai utilisé l'analogue électronique de l'interféromètre de Hong, Ou et Mandel pour réaliser des expériences d'interférométrie à deux particules. En entrée de l'interféromètre sont placées des sources d'électrons uniques qui permettent l'injection contrôlée d'excitation ne contenant qu'une seule particule. Les canaux de bords guident ces excitations jusqu'à l'interféromètre. Il s'agit d'un contact ponctuel quantique qui agit comme une lame semi-réfléchissante pour les électrons. On mesure en sortie les fluctuations basse fréquence du courant. Cela nous permet de mesurer le recouvrement entre les fonctions d'onde à un électron émises à chaque entrée. Grâce à cette mesure de recouvrement, j'ai pu caractériser à des échelles de temps sub-nanoseconde, le rôle des interactions Coulombienne sur la propagation de l'électron unique. J'ai pu montrer que ces interactions étaient la source principale de la décohérence du paquet d'onde mono-électronique et qu'elles décomposent l'électron sur des modes collectifs. C'est une manifestation de la fractionalisation de l'électron qui apparaît dans les systèmes uni-dimensionnel en interactions. Grâce à cet interféromètre, j'ai pu aussi implémenter un protocole de tomographie qui permet de reconstruire toute les informations à une particule de n'importe quel signal émis dans le canal de bord. / This thesis is dedicated to processing of quantum electronic signals in the edge channels of the integer quantum Hall effect. In particular, I used the electronic analogue of the Hong, Ou and Mandel interferometer to realize two particle interference measurements. The interferometer consists of a quantum point contact (QPC) that acts as an electronic beam-splitter. The inputs are fed by single electron sources whose single particle excitations are guided toward the QPC by quantum Hall edge channels. We measure low frequency current noise in one of the output to measure overlaps of first order coherence functions. With this interferometer I could characterize on short time scales the role of Coulomb interactions on single electron propagation. I could show that interactions are the main source of decoherence of the single particle wave packet and that the electron decomposes into collective modes. This is due to fractionalisation which is a hallmark of interacting unidimensional systems. Thanks to this interferometer I could also implement a universal tomography protocol to dissect all single particle information of any arbitrary current. This enables the study of non-classical propagating state.

The transport or the separation of solid particles or droplets suspended in a fluid flow is a common task in mechanical and process engineering. To improve machinery and physical processes (e.g. for coal combustion, reduction of NO_x and soot) an optimization of complex phenomena by simulation applying the fundamental conservation equations is required. Fluid-particle flows are characterized by the ratio of density of the two phases gamma=rho_P/rho_F, by the Stokes number St=tau_P/tau_F and by the loading in terms of void and mass fraction. Those numbers (Stokes number, gamma) define the flow regime and which relevant forces are acting on the particle. Dependent on the geometrical configuration the particle-wall interaction might have a heavy impact on the mean flow structure. The occurrence of particle-particle collisions becomes also more and more important with the increase of the local void fraction of the particulate phase. With increase of the particle loading the interaction with the fluid phase can not been neglected and 2-way or even 4-way coupling between the continous and disperse phases has to be taken into account. For dilute to moderate dense particle flows the Euler-Lagrange method is capable to resolve the main flow mechanism. An accurate computation needs unfortunately a high number of numerical particles (1,...,10^7) to get the reliable statistics for the underlying modelling correlations. Due to the fact that a Lagrangian algorithm cannot be vectorized for complex meshes the only way to finish those simulations in a reasonable time is the parallization applying the message passing paradigma. Frank et al. describes the basic ideas for a parallel Eulererian-Lagrangian solver, which uses multigrid for acceleration of the flow equations. The performance figures are quite good, though only steady problems are tackled. The presented paper is aimed to the numerical prediction of time-dependend fluid-particle flows using the simultanous particle tracking approach based on the Eulerian-Lagrangian and the particle-source-in-cell (PSI-Cell) approach. It is shown in the paper that for the unsteady flow prediction efficiency and load balancing of the parallel numerical simulation is an even more pronounced problem in comparison with the steady flow calculations, because the time steps for the time integration along one particle trajectory are very small per one time step of fluid flow integration and so the floating point workload on a single processor node is usualy rather low. Much time is spent for communication and waiting time of the processors, because for cold flow particle convection not very extensive calculations are necessary. One remedy might be a highspeed switch like Myrinet or Dolphin PCI/SCI (500 MByte/s), which could balance the relative high floating point performance of INTEL PIII processors and the weak capacity of the Fast-Ethernet communication network (100 Mbit/s) of the Chemnitz Linux Cluster (CLIC) used for the presented calculations. Corresponding to the discussed examples calculation times and parallel performance will be presented. Another point is the communication of many small packages, which should be summed up to bigger messages, because each message requires a startup time independently of its size. Summarising the potential of such a parallel algorithm, it will be shown that a Beowulf-type cluster computer is a highly competitve alternative to the classical main frame computer for the investigated Eulerian-Lagrangian simultanous particle tracking approach.

The transport or the separation of solid particles or droplets suspended in a fluid flow is a common task in mechanical and process engineering. To improve machinery and physical processes (e.g. for coal combustion, reduction of NO_x and soot) an optimization of complex phenomena by simulation applying the fundamental conservation equations is required. Fluid-particle flows are characterized by the ratio of density of the two phases gamma=rho_P/rho_F, by the Stokes number St=tau_P/tau_F and by the loading in terms of void and mass fraction. Those numbers (Stokes number, gamma) define the flow regime and which relevant forces are acting on the particle. Dependent on the geometrical configuration the particle-wall interaction might have a heavy impact on the mean flow structure. The occurrence of particle-particle collisions becomes also more and more important with the increase of the local void fraction of the particulate phase. With increase of the particle loading the interaction with the fluid phase can not been neglected and 2-way or even 4-way coupling between the continous and disperse phases has to be taken into account. For dilute to moderate dense particle flows the Euler-Lagrange method is capable to resolve the main flow mechanism. An accurate computation needs unfortunately a high number of numerical particles (1,...,10^7) to get the reliable statistics for the underlying modelling correlations. Due to the fact that a Lagrangian algorithm cannot be vectorized for complex meshes the only way to finish those simulations in a reasonable time is the parallization applying the message passing paradigma. Frank et al. describes the basic ideas for a parallel Eulererian-Lagrangian solver, which uses multigrid for acceleration of the flow equations. The performance figures are quite good, though only steady problems are tackled. The presented paper is aimed to the numerical prediction of time-dependend fluid-particle flows using the simultanous particle tracking approach based on the Eulerian-Lagrangian and the particle-source-in-cell (PSI-Cell) approach. It is shown in the paper that for the unsteady flow prediction efficiency and load balancing of the parallel numerical simulation is an even more pronounced problem in comparison with the steady flow calculations, because the time steps for the time integration along one particle trajectory are very small per one time step of fluid flow integration and so the floating point workload on a single processor node is usualy rather low. Much time is spent for communication and waiting time of the processors, because for cold flow particle convection not very extensive calculations are necessary. One remedy might be a highspeed switch like Myrinet or Dolphin PCI/SCI (500 MByte/s), which could balance the relative high floating point performance of INTEL PIII processors and the weak capacity of the Fast-Ethernet communication network (100 Mbit/s) of the Chemnitz Linux Cluster (CLIC) used for the presented calculations. Corresponding to the discussed examples calculation times and parallel performance will be presented. Another point is the communication of many small packages, which should be summed up to bigger messages, because each message requires a startup time independently of its size. Summarising the potential of such a parallel algorithm, it will be shown that a Beowulf-type cluster computer is a highly competitve alternative to the classical main frame computer for the investigated Eulerian-Lagrangian simultanous particle tracking approach.

Zukünftige Beschleunigerprojekte und Nutzerexperimente erfordern für ihren Betrieb einen hochbrillanten Elektronenstrahl mit hohem mittlerem Strom. Eine Elektronenquelle mit dem Potential die Anforderungen erfüllen, ist ein supraleitender Hochfrequenz (SHF) Photoinjektor im Dauerstrichbetrieb. Die Strahldynamik eines solchen Photoinjektor Systems bestimmt die maximal zu erreichende Strahlbrillanz und wird ihrerseits von den Design und Betriebsparametern des Photoinjektors beeinflusst. Ziel ist immer die entscheidenden Design- und Betriebsparameter der Elektronenquelle hinsichtlich einer maximalen Strahlbrillanz zu wählen. Diese Aufgabe verlangt ein detailliertes Verständnis der Strahldynamik-Prozesse. Ferner ist es notwendig, eine Optimierung des Photoinjektors als Ganzes, mit dem Ziel einer maximalen Strahlqualität bei hohem mittlerem Strom, vorzunehmen. Dieses ermöglicht auch, die physikalischen Grenzen eines gegebenen Designs zu ermitteln und im Betrieb vollständig auszunutzen. Diese Doktorarbeit befasst sich mit der Strahldynamik in einem SHF Photoinjektor, unter Berücksichtigung interner Raumladungseffekte. Die Erkenntnisse zur Strahldynamik werden für die Entwicklung eines Optimierungsprogramms verwendet, um die Leistung des Injektors hinsichtlich der Strahlbrillanz zu verbessern. Die entwickelte Methode basiert auf Pareto-Optimierung mehrerer Zielfunktionen, unter Verwendung eines generischen Algorithmus. Das zentrale Ergebnis dieser Arbeit umfasst ein universelles Optimierungsprogramm, das für Photoinjektoren unabhängig von ihrem Design und Anwendungsgebiet genutzt werden kann. Für den Betrieb mit hoher Strahlbrillanz ist es möglich aus den erhaltenen Pareto-optimalen Lösungen einen stabilen Satz an Einstellwerten für den Photoinjektor zu extrahieren. Durch die allgemeine Optimierungsstrategie lässt sich das entwickelte Programm auch für andere Beschleunigerabschnitte, oder die Optimierung einer ganzen Anlage mit erweiterter Zielsetzung anpassen. / An increasing number of future accelerator projects, light sources and user experiments require high brightness, high average current electron beams for operation. Superconducting radio-frequency (SRF) photoinjectors running in continuous-wave (cw) mode hold the potential to serve as an electron source that generates electron beams of high brightness. Different operation and design parameters of the SRF photoinjector impact the beam dynamics and, thus, the beam brightness. Therefore, an in-depth understanding of the beam dynamics processes in an SRF photoinjector and the dependency of the beam dynamics on the photoinjector set parameters is crucial. A high brightness beam operation requires a global optimization of the SRF photoinjector that allows to find suitable photoinjector settings and to figure out and extend the physical performance limits of the investigated injector design. The dissertation at hand offers a detailed analysis of the beam dynamics in an SRF photoinjector regarding internal space charge effects. Furthermore, the impact of the photoinjector elements on the electron beam is discussed. The lessons learned from this theoretical view are implemented in the development of an optimization tool to achieve a high brightness performance. A universal multi-objective optimization program based on a generic algorithm was developed to extract stable, optimum gun parameter from Pareto-optimum solutions. This universal tool is able to optimize and find the physical performance limit of any (S)RF photoinjector independent from the individual application of the electron source (energy recovery linac, free electron laser, ultra-fast electron diffraction). This thesis thereby verifies and complements existing theoretical considerations regarding photoinjector-beam interactions. The global optimization strategy can be introduced to variable optimization objectives as well as it can be extended to an optimization of further parts of the accelerator facility.