| Paper | Title | Page |
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| TUPSB13 | Charged Particle Dynamics Optimization in Discrete Systems | 259 |
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| Discrete optimization methods of dynamic systems are widely presented in the scientific literature. However, to solve various problems of beam dynamics optimization, it is necessary to create special optimization models that would take into account the specifics of the problems under study. The paper proposes a new mathematical model that includes the joint optimization of a selected (calculated) motion and an ensemble of perturbed motions. Functionals of a general form are considered, which makes it possible to estimate various characteristics of a charged particle beam and the dynamics of the calculated trajectory. The optimization of a bundle of smooth and nonsmooth functionals is investigated. These functionals estimate both the integral characteristics of the beam as a whole and various maximum deviations of the parameters of the particle beam. The variation of a bundle of functionals is given in an analytical form, which allows us to construct directed optimization methods. The selected trajectory can be taken, for example, as the trajectory of a synchronous particle or the center of gravity of a beam (closed orbit). We come to discrete models when we consider the dynamics of particles using a transfer matrices or transfer maps. Optimization problems can be of orbit correction, dynamic aperture optimization, and many other optimization problems in both cyclic and linear accelerators of charged particle beams. | ||
| DOI • | reference for this paper ※ doi:10.18429/JACoW-RuPAC2021-TUPSB13 | |
| About • | Received ※ 16 September 2021 — Revised ※ 18 September 2021 — Accepted ※ 20 September 2021 — Issued ※ 22 October 2021 | |
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TUPSB14 |
On a New Approach to the Beam Dynamics Optimization | |
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| The talk deals with the problem of joint optimization of programmed and perturbed motions using a combination of smooth and nonsmooth functionals. Continuous nonlinear dynamical systems are investigated. Programmed motion is understood as a certain calculated motion, for example, the dynamics of a synchronous particle in accelerators. Perturbed movements are described by equations in deviations from the design movement, i.e. particle beam dynamics. The dynamics of perturbed motions substantially depends on the choice of the programmed motion. Simultaneous optimization of programmed and perturbed motions turns out to be quite effective. For a more complete description of various characteristics of the beam, it is proposed to use a new combination of smooth and nonsmooth functionals. Smooth functionals mainly estimate different average beam characteristics. Nonsmooth functionals estimate the maximum deviations of particles by one parameter or another. Optimization methods developed on the basis of the proposed approach have shown their effectiveness. The optimization of the dynamics of charged particles in RFQ structure has been carried out. The paper presents the results of numerical optimization. The developed optimization methods can be used to study the dynamics of charged particles and in other types of accelerators. | ||
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