<p>The Duke storage has been developed as a dedicated driver for the storage ring based free-electron lasers (FEL) and a high flux Compton gamma-ray source, the High Intensity Gamma-ray Source. The storage ring can be operated from about 250 MeV to 1.2 GeV, which can produces FEL lasers over a wide range of wavelengths and gamma-rays with a tunable energy from 1 MeV to 100 MeV. The Duke light source facility conducts world-class researches across a wide range of scientific disciplines and technological applications.</p><p> In a storage ring, beam instabilities can cause a signifcant degradation in machine performance. In the Duke storage ring, coupled-bunch instabilities (CBIs) are the main source which limit ultimately achievable beam current in multi-bunch operations. In order to to suppress CBIs in the Duke storage, we developed a bunch-bybunch longitudinal feedback (LFB) system which is based on a field programmable gate array (FPGA) embedded system. During the design and implementation of the LFB system, several novel methods and techniques are developed in numerical analysis of feedback control and kicker cavity design/fabrication. High current are realized at low energies by using the LFB system. In addition, after the successful commissioning of the LFB system, a analog transverse feedback (TFB) system has been upgraded to a digital one using the same technique as the LFB system. </p><p>The LFB system has been routinely operated for HIGS. Additional,the LFB and TFB feedback systems become an useful diagnostic tools in researches of electron beam dynamics, FEL lasing process, and background of HIGS. The control of CIBs in different operation modes are studied using the feedback system. Furthermore, based on the TFB system, a novel bunch cleaning method has been developed to reduce the background of gamma-ray.</p> / Dissertation

Im Rahmen dieser Dissertation wird die Stärke der Multibunch-Instabilität (MBI), die von longitudinalen Dipol-, transversalen Dipol- und Quadrupolschwingungsmoden höherer Ordnung getrieben werden mithilfe von analytischen Rechnungen und Trackingsimulationen in dem Ausbauprojekt BESSY Variable Pulse Length Storage Ring (BESSY VSR) des Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB) untersucht und mit dem vorhanden aktiven Dämpfungssystem verglichen. Algorithmen für Trackingsimulationen werden hergeleitet und eine halbempirische Formel zur Abschätzung der transversalen quadrupolaren MBI wird präsentiert. MBI Studien bilden einen wesentlichen Teil der Beurteilung der BESSY VSR Hohlraumresonatoren und begleiteten und beeinflussten ihren Entwicklungsprozess. Mit Berechnungen auf Grundlage des neusten BESSY VSR Hohlraumresonatormodels kann Strahlstabilität als wahrscheinlich und unabhängig vom Füllmuster angesehen werden. Des weiteren wurden Messungen der MBI an BESSY II und der Metrology Light Source (MLS) der Physikalisch-Technischen Bundesanstalt durchgeführt, bei welcher die longitudinale langreichende Impedanz charakterisiert wurde. Transiente Strahllast wird in dieser Arbeit mit analytischen Formeln und neuen, experimentell überprüften Trackingsimulationen berechnet. Für das Standardfüllmuster von BESSY VSR wurde gezeigt, dass die besondere Konfiguration der Hohlraumresonatorfrequenzen zu einer relativ starken Beeinflussung der langen Elektronenpakete führt. Diese verkürzt das Elektronenpaket und vergrößert die Touschekverluste. / In the scope of this thesis, the strength of coupled bunch instabilities (CBIs) driven by longitudinal monopole higher order modes (HOMs) and transverse dipole and quadrupole HOMs is evaluated for the upgrade project BESSY Variable Pulse Length Storage Ring (BESSY VSR) at Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB), based on analytic calculations and tracking simulations, and compared to the performance of an active bunch-by-bunch feedback (BBFB). Algorithms for tracking codes are derived, and a semi-empirical formula for the estimation of transverse quadrupole CBIs is presented. CBI studies are an integral part of the benchmarking of the cavity models for BESSY VSR and have been accompanying and influencing their entire design process. Based on the BESSY VSR cavity model with highly advanced HOM damping, beam stability is likely to be reached with a BBFB system, independent of the bunch fill pattern. Additionally, measurements of CBIs have been performed at BESSY II and the Metrology Light Source of the Physikalisch-Technische Bundesanstalt (MLS), where the longitudinal long range impedance was characterized. Transient beam loading is evaluated by means of analytic formulas and new experimentally verified tracking codes. For the baseline bunch fill pattern of BESSY VSR, it is shown that the particular setup of cavity frequencies amplifies the transient effect on the long bunch, limiting its elongation and potentially resulting in increased Touschek losses.