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dc.identifier.urihttp://hdl.handle.net/1951/56150
dc.identifier.urihttp://hdl.handle.net/11401/71724
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractCoherent electron cooling (CeC) offers the potential a very potent method of longitudinal phase-space cooling for high intensity bunched beam accelerators, such as at the Relativistic Heavy Ion Collider (RHIC) or at proposed electron-ion colliders such as eRHIC or LHeC. To develop a complete theoretical description of CeC requires a detailed model of the phase space dynamics of a high-gain free-electron laser (FEL) in three dimensions. A three-dimensional model for the FEL instability is developed using the Maxwell-Vlasov formalism, and obtains a Green function for arbitrary initial phase space perturbations. This Green function assumes a transversely infinite electron beam with zero transverse velocity spread. The formalism developed for obtaining the Green function also provides a solution to the initial value problem of an FEL with a finite transverse beam, and this formalism is used to obtain optical guiding. Using the resulting dispersion relation for the FEL process, I present a number of theorems and results concerning the roots of the dispersion relation, in particular that regardless of the specific functional form of the thermal background of the beam there is one and only one amplifying mode. A number of criterion and relations on that mode is also developed and presented. Finally, I develop a theoretical description of the dynamics of Coherent Electron Cooling considering the case of a finite length electron bunch which paints the longer hadron bunch. This leads to a kinetic equation for the cooling of synchrotron oscillations in bunched beams.
dcterms.available2012-05-17T12:23:09Z
dcterms.available2015-04-24T14:48:53Z
dcterms.contributorPaul Grannisen_US
dcterms.contributorVladimir N. Litvinenko. Thomas K. Hemmick.en_US
dcterms.contributorMaria Fernandez-Serraen_US
dcterms.contributorVadim Ptitsyn.en_US
dcterms.creatorWebb, Stephen Davis
dcterms.dateAccepted2012-05-17T12:23:09Z
dcterms.dateAccepted2015-04-24T14:48:53Z
dcterms.dateSubmitted2012-05-17T12:23:09Z
dcterms.dateSubmitted2015-04-24T14:48:53Z
dcterms.descriptionDepartment of Physicsen_US
dcterms.formatApplication/PDFen_US
dcterms.formatMonograph
dcterms.identifierWebb_grad.sunysb_0771E_10490.pdfen_US
dcterms.identifierhttp://hdl.handle.net/1951/56150
dcterms.identifierhttp://hdl.handle.net/11401/71724
dcterms.issued2011-05-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2012-05-17T12:23:09Z (GMT). No. of bitstreams: 1 Webb_grad.sunysb_0771E_10490.pdf: 1368337 bytes, checksum: 4e9aad1abaed3b67b95190e03ca82ffb (MD5) Previous issue date: 1en
dcterms.provenanceMade available in DSpace on 2015-04-24T14:48:53Z (GMT). No. of bitstreams: 3 Webb_grad.sunysb_0771E_10490.pdf.jpg: 1894 bytes, checksum: a6009c46e6ec8251b348085684cba80d (MD5) Webb_grad.sunysb_0771E_10490.pdf: 1368337 bytes, checksum: 4e9aad1abaed3b67b95190e03ca82ffb (MD5) Webb_grad.sunysb_0771E_10490.pdf.txt: 120847 bytes, checksum: 2ab10f24153e98e4fa2dc5330c8643e9 (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectaccelerator, coherent electron cooling, dispersion, free-electron laser, plasma, RHIC
dcterms.subjectPhysics
dcterms.titleTheoretical Considerations for Coherent Electron Cooling
dcterms.typeDissertation


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