Görgen, Paul A.
Transverse Beam Transfer Functions of Relativistic Ion Bunches.
Technische Universität, Darmstadt
[Ph.D. Thesis], (2015)
Beam Transfer Functions of Relativistic Ion Bunches - Dissertation Paul Görgen -
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|Item Type:||Ph.D. Thesis|
|Title:||Transverse Beam Transfer Functions of Relativistic Ion Bunches|
Transverse beam dynamics of bunched beams in synchrotrons are the subject of this work. Building on analytic models of transverse beam dynamics of coasting beams, analytic models for the description of Beam Transfer Functions (BTFs) of bunched beams in the limit of relativistic energies are derived. Specifically, the BTF of bunched beams under the influence of a local transverse nonlinearity arising from interactions between beams in colliders as well as the BTF of beams dominated by space charge in combination with chromatic frequency spread are discussed.
The resulting analytic models for the BTF are presented and agree with a simulation model developed for the purpose. One of the primary applications of BTFs is the measurement of the transverse oscillation frequency (betatron frequency) of the ions. For this reason this work elaborates on the implications of the model for the determination of the betatron frequency in the presence of space charge. Furthermore the determination of the betatron frequency distribution from the BTF in connection with beam-beam interactions is discussed. The expected regime of validity of the analytic models is validated on simulated BTF data.
Finally, simulated and analytic BTFs of beams under the influence of beam-beam interactions are compared to BTFs measured at the Brookhaven National Laboratory as part of this work. Analytic expectation and simulated BTFs agree with the measurement outcome. A method for obtaining the betatron frequency spread from BTFs of bunched beams with beam-beam interactions developed in this work is successfully applied to measured BTFs.
|Place of Publication:||Darmstadt|
|Classification DDC:||500 Naturwissenschaften und Mathematik > 530 Physik
600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
|Divisions:||18 Department of Electrical Engineering and Information Technology > Institute for Computational Electromagnetics > Accelerator Physics|
|Date Deposited:||02 Nov 2015 10:11|
|Last Modified:||02 Nov 2015 10:11|
|Referees:||Boine-Frankenheim, Prof. Dr. Oliver and Weiland, Prof. Dr. Thomas|
|Refereed:||25 September 2015|