The beam dynamics study for the CYCIAE-100 cyclotron

Computer codes suitable for the study of beam dynamics in cyclotronlike (classical and isochronous cyclotrons, synchrocyclotrons, and fixed field alternating gradient) accelerators are reviewed. Computer modeling of cyclotron segments, such as the central zone, acceleration region, and extraction system is considered. The author does not claim to give a full and detailed description of the methods and algorithms used in the codes. Special attention is paid to the codes already proven and confirmed at the existing accelerating facilities. The description of the programs prepared in the worldwide known accelerator centers is provided. The basic features of the programs available to users and limitations of their applicability are described.

Section: Opalmentioning

confidence: 99%

Computer codes for beam dynamics analysis of cyclotronlike accelerators

Smirnov

2017

“…To date, numerical simulations [12][13][14][15][16][17][18] are widely used to study transverse oscillations in cyclotrons. Although they can accurately describe the particle motion, they cannot intuitively show the relationship between the parameters of a magnetic field and particle motion behavior in the vicinity of resonance.…”

Section: Introductionmentioning

confidence: 99%

Transverse oscillation of particles in the vicinity of resonances for a cyclotron

Zhou

Song

Chen

et al. 2019

Transverse oscillation is an important issue in beam dynamics of cyclotrons and can be described by the Mathieu equation. We review the standard form of the Mathieu equation, d 2 u dθ 2 þ ðδ þ ε · cos 2θÞu ¼ 0, and propose a modification of the method of multiple scales (i.e., a perturbation method) so that the asymptotic analytical solutions of the Mathieu equation can be computed in the stable and unstable regions for both δ ≥ 0 and δ < 0. This method was applied to the nonlinear transverse oscillation equations for a cyclotron. Analytical solutions for transverse oscillation in the stable and unstable regions (i.e., vicinity of the resonances) were obtained, and the accuracy of these analytical solutions was confirmed by their close agreement with the direct numerical integration. Useful results such as the analytical solution of the transverse oscillation frequency, increasing rate of the amplitude in unstable regions, and the resonance width were also derived; the stable condition and driving terms of the resonances can be obtained from the analytical solutions.

“…It is highly parallel and comes in two distinct flavors: OPAL-CYCL (specific to cyclotrons and rings) and OPAL-T (general purpose). For the presented application, we focus on OPAL-CYCL which has been used very successfully to simulate existing high intensity cyclotrons like the PSI Injector II [2], and PSI Ring Cyclotron [2,3] as well as to design new cyclotrons like CYCIAE [4], DAEδALUS [5,6], and IsoDAR [7,8].…”

Section: Introductionmentioning

confidence: 99%

Realistic simulations of a cyclotron spiral inflector within a particle-in-cell framework

Winklehner

Adelmann

Gsell

et al. 2017

We present an upgrade to the particle-in-cell ion beam simulation code OPAL that enables us to run highly realistic simulations of the spiral inflector system of a compact cyclotron. This upgrade includes a new geometry class and field solver that can handle the complicated boundary conditions posed by the electrode system in the central region of the cyclotron both in terms of particle termination, and calculation of self-fields. Results are benchmarked against the analytical solution of a coasting beam. As a practical example, the spiral inflector and the first revolution in a 1 MeV/amu test cyclotron, located at Best Cyclotron Systems, Inc., are modeled and compared to the simulation results. We find that OPAL can now handle arbitrary boundary geometries with relative ease. Comparison of simulated injection efficiencies, and beam shape compare well with measured efficiencies and a preliminary measurement of the beam distribution after injection. * winklehn@mit.edu; Massachusetts Institute of Technology,