| Paper | Title | Page |
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| TUPSB47 | Stability Conditions for a Penning Trap with Rotating Quadrupole or Dipole Electric Fields | 324 |
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| The dynamics of particles in a Penning Malmberg Surko trap with Rotating Wall (rotating quadrupole and/or dipole electric field) and a buffer gas is considered. Electromagnetic traps are widely used for the accumulation and confinement of charged particles during various experiments in nuclear and accelerator physics, mass spectroscopy, and other fields. Traps are the main element of sources of charged particles in accelerators. An especially important role is played by traps with efficient accumulation during operation (in a cyclic mode) of ion synchrotrons and colliders with short-lived isotopes. The purpose of this work was to develop algorithms for constructing regions of asymptotic stability (according to Lyapunov) in the space of parameters describing additional rotating electric fields, and to determine the analytical conditions that must be satisfied by the trap parameters to achieve a given degree of stability. The influence of the space charge of a beam of accumulated particles on the stability of the system is also investigated. The calculation results and the proposed models can be used in the selection and adjustment of the main parameters of the designed traps of the considered type. | ||
| DOI • | reference for this paper ※ doi:10.18429/JACoW-RuPAC2021-TUPSB47 | |
| About • | Received ※ 30 September 2021 — Accepted ※ 09 October 2021 — Issued ※ 15 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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