Transverse Schottky spectra and beam transfer functions of coasting ion beams with space charge [Elektronische Ressource] / von Stefan Paret

Transverse Schottky Spectra andBeam Transfer Functions ofCoasting Ion Beams with Space ChargeVom Fachbereich Elektrotechnik und Informationstechnikder Technischen Universitat Darmstadt¨zur Erlangung des akademischen Grades einesDoktor rerum naturalium (Dr. rer. nat.) genehmigteDissertationvonDipl.-Phys. Stefan Paretgeboren am 30. Mai 1980 in DarmstadtReferent: Prof. Dr.-Ing. T. Weiland1. Korreferent: Prof. Dr. rer. nat. O. Boine-Frankenheim2. Korreferent: Prof. Dr. rer. nat. N. A. PietrallaDatum der Einreichung: 08.12.2009Datum der Verteidigung: 22.02.2010D17Darmstadt 2010AbstractAstudyofthetransversedynamicsofcoastingionbeamswithmoderatespacechargeis presented in this work. From the dispersion relation with linear space charge, ananalytic model describing the impact of space charge on transverse beam transferfunctions(BTFs)andthestabilitylimitsofabeamisderived. Thedielectricfunctionobtained in this way is employed to describe the transverse Schottky spectra withlinear space charge as well. The difference between the action of space charge andimpedances is highlighted.The setup and the results of an experiment performed in the heavy ion syn-chrotronSIS-18 at GSI to detect space-charge effects at different beam intensitiesareexplicated. The measured transverse Schottky spectra and BTFs are compared withthe linear space-charge model. The stability diagrams constructed from the BTFsare presented.