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"
Quadrupole Mode Perturbation in Storage Rings
"
Document Type
:
Latin Dissertation
Language of Document
:
English
Record Number
:
149786
Doc. No
:
ET21578
Main Entry
:
Weiming Guo
Title Proper
:
Quadrupole Mode Perturbation in Storage Rings
Note
:
This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract
:
Quadrupole mode oscillation(QM0) means the second moments of a system oscil-lating with time, or, the elliptical torus of the Hamiltonian rotating in phase space.We study the QMO in storage rings. In the transverse direction the QMO can beexcited by an rf quadrupole. The strength of the rf quadrupole varies with time, andthe oscillation frequency w, must be close t o twice the transverse betatron oscilla-tion frequency w,. The perturbation equation is solved with the Hamiltonian methodand we found the beam satisfies Boltzmann distribution. Mathieu instability occurswhen 2(w, - Clwo) < w, < 2(w, + Clwo), where C1 is the effective strength of the rfquadrupole and wo is the revolution frequency. When a nonlinear detuning term is in-cluded, the multi-particle system will bifurcate after passing through the thresholds.The QMO can be detected by a Beam Position Monitor(BPM), and the emittance ofthe beam can be derived from the signal. The other applications of quadrupole modetested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject
:
Electericl tess
:
برق
electronic file name
:
TL44752.pdf
Title and statement of responsibility and
:
Quadrupole Mode Perturbation in Storage Rings [Thesis]
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TL44752.pdf
TL44752.pdf
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