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Abstracts Brochure - 2nd International Particle Accelerator Conference

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een proposed to mitigate these instabilities in the<br />

CERN SPS ring. The design of feedback systems<br />

requires the knowledge of a reduced dynamic model<br />

of the bunch. It allows to include and quantify the<br />

effect of noise and signal perturbations, as well as<br />

system robustness to parameter variation.<br />

Identification techniques are used to estimate those<br />

models based on bunch motion measurements. In<br />

this work we present reduced mathematical models<br />

representing the transverse bunch dynamics and<br />

identification techniques to extract the model<br />

parameters based on measurements. These<br />

techniques are validated using time domain<br />

simulations of the bunch motion conducted using<br />

multi-particle simulation codes. For that, different<br />

sections of the bunch are driven by random signals,<br />

and the vertical motion of those areas is used to<br />

estimate the reduced model.<br />

Funding Agency: Work is supported by the U.S.<br />

Department of Energy under contract DE-AC02-<br />

76SF00515 and the US LHC <strong>Accelerator</strong> Research<br />

Program (LARP).<br />

Sub Classification: D05 Instabilities - Processes,<br />

Impedances, Countermeasures<br />

Poster Panel 70<br />

ID: 3186 - TUOAB03<br />

Enlarging Dynamic and Momentum Aperture by<br />

<strong>Particle</strong> Swarm Optimization, Zhenghe Bai, Weimin<br />

Li, Lin Wang (USTC/NSRL, Hefei, Anhui) -<br />

<strong>Particle</strong> swarm optimization (PSO) is a<br />

computational intelligence algorithm for global<br />

optimization. Obtaining adequate dynamic and<br />

momentum aperture is crucial for high injection<br />

efficiency and long beam lifetime in low emittance<br />

electron storage rings. Different from nonlinear<br />

driving terms optimization, we have made direct<br />

optimization of dynamic and momentum aperture by<br />

PSO algorithm. It is critical to make a criterion for<br />

comparison of dynamic and momentum aperture<br />

tracking results in the direct optimization procedure.<br />

Thus, in this paper we first propose a quantitative<br />

criterion of dynamic aperture. Then we apply PSO<br />

to the optimization of chromatic and harmonic<br />

sextupoles to find the optimum sextupole settings<br />

for enlarging the dynamic aperture. Taking the<br />

momentum aperture into consideration, we make<br />

joint optimization of dynamic and momentum<br />

aperture. Also, the momentum aperture has its<br />

quantitative criterion. As an example of application,<br />

the dynamic and momentum aperture of an FBA<br />

lattice studied in the design of storage ring of Hefei<br />

�<br />

21<br />

Advanced Light Source were optimized, and the<br />

results have shown the power of PSO algorithm.<br />

Sub Classification: D06 Code Developments and<br />

Simulation Techniques<br />

Poster Panel 71<br />

ID: 3144 - WEPC097<br />

Calculation of High Frequency Fields in<br />

Resonant Cavities Based on Perturbation Theory,<br />

Korinna Brackebusch, Hans-Walter Glock, Ursula<br />

van Rienen (Rostock University, Rostock) - The<br />

knowledge of the eigenmodes of resonant<br />

accelerator cavities is essential for the determination<br />

of their performance characteristics, comprising<br />

resonant frequencies and field distributions inside<br />

the cavities. Apart from the material properties the<br />

eigenmodes of a cavity depend on its geometry. In<br />

spite of the high elaborateness during the complex<br />

fabrication process, minor deviations of the actual<br />

cavity shape from the desired one are inevitable.<br />

Moreover, especially superconducting cavities are<br />

subject to extreme operating conditions that may<br />

cause deformations of their shape. Any geometry<br />

perturbation results in a shift of the resonant<br />

frequencies and modified field distributions. In this<br />

paper, we will analyze a generalization of Slater's<br />

theorem proposed in literature. The method should<br />

allow for the calculation of resonant frequencies and<br />

field distributions of a slightly perturbed cavity by<br />

using a set of precomputed eigenmodes of the<br />

unperturbed cavity. We will evaluate the<br />

practicability of the method by applying it to cavity<br />

geometries for which the eigenmodes are<br />

analytically known, ascertain the effort of<br />

reasonable calculation results and describe its<br />

limitations.<br />

Funding Agency: Work supported by Federal<br />

Ministry for Research and Education BMBF under<br />

contracts 05H09HR5 and 05K10HRC.<br />

Sub Classification: D06 Code Developments and<br />

Simulation Techniques<br />

Poster Panel 72<br />

ID: 4312 - WEPC117<br />

A Matrix Presentation for a Beam Propagator<br />

including <strong>Particle</strong>s Spin, Michael Kosovtsov,<br />

Serge Andrianov, Andrey Ivanov (St. Petersburg<br />

State University, St. Petersburg) - <strong>Particle</strong>s beam<br />

dynamics in magnetic and electrical fields with spin<br />

is discussed. This approach provides a constructive<br />

method of matrix presentation derivation for a beam<br />

propagator in magnetic and electrical fields. The<br />

beam propagator is evaluated in according to the

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