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Cornell University

Normal Mode Analysis Of Single Bunch, Charge Density Dependent Behavior In Electron/Positron Beams

Abstract

dc:description.abstract

Accelerator science in coming years will be increasingly dependent upon high singlebunch charges and/or small emittances. Under these conditions, single-particle dynamics are not a sufficient description of beam behavior and interactions between the beam particles must be taken into account. One such interaction is when collisions between the particles that compose a bunch perturb the motion of the colliding particles significantly and frequently enough to impact the beam dynamics. Multiple, small-angle, collisions blow up the emittance of the bunch and are referred to as intrabeam scattering (IBS). Here are documented the theoretical and experimental studies of IBS in storage rings undertaken as part of the CesrTA program. Under the conditions where IBS becomes dominant, other multi-particle effects can also appear. The additional effects we investigate include potential well distortion, coherent current-dependent tune shift, and direct space charge. CesrTA design and analysis is conducted in a normal mode coordinates environment which allows for natural handling of coupling. To that end, we develop a 6D normal modes decomposition of the linear beam optics. Multi-particle effects are also important for Energy Recovery Linear Accelerators (ERLs). Because the beam circulates for only a short period of time in an ERL, the beam lifetime imposed by Touschek scattering is not significant. However, the particles scattered out of the bunch can generate a radiation hazard where they collide with the beam pipe. We re-derive Piwinski's original Touschek scattering equation to check its validity when applied to ERL beams, then repurpose the formula to generate a profile of where scattered particles are generated and where they are lost. The results presented here advance our understanding of charge-dependent behavior in the sorts of high charge-density accelerators that will be implemented in coming years.

Degree

thesis:*
Name thesis:degree_name
Ph. D., Physics
Level thesis:degree_level
Doctor of Philosophy
Discipline thesis:degree_discipline
Physics
Grantor
Cornell University
Year dc:date.issued
2013

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ehrlichman, Michael
Committee members dc:contributor.committeemember
  • Myers, Christopher R
  • Hoffstaetter, Georg Heinz

Subjects

dc:subject × 3

Rights

Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1813/34116
OAI identifier oai:identifier
oai:ecommons.cornell.edu:1813/34116

Chain of custody

source
Harvested from
Cornell University
Base URL
ecommons.cornell.edu/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Ehrlichman, Michael. Normal Mode Analysis Of Single Bunch, Charge Density Dependent Behavior In Electron/Positron Beams. Doctor of Philosophy thesis, Cornell University, 2013. https://hdl.handle.net/1813/34116