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The consideration of dynamics of relativistic beams/particles is based on variational approach to rational (in dynamical variables) approximation for equations of motions. It allows to control contribution from each scale of underlying…

Accelerator Physics · Physics 2007-05-23 Antonina N. Fedorova , Michael G. Zeitlin

The nonlinear space-charge effects play an important role in high intensity/high brightness accelerators. These effects can be self-consistently studied using multi-particle simulations. In this lecture, we will discuss the particle-in-cell…

Accelerator Physics · Physics 2020-06-17 Ji Qiang

Spatially-structured laser beams, eventually carrying orbital angular momentum, affect electronic transitions of atoms and their motional states in a complex way. We present a general framework, based on the spherical tensor decomposition…

This paper establishes a one-dimensional theoretical model for an elastic beam with embedded point magnets in extensional, bending and torsional motions. The beam has a circular cross-section. The point magnets may be in the interior or at…

Applied Physics · Physics 2024-04-10 Jiashi Yang

Emerging quality requirements in modern optical systems increase the need for accurate simulation and compensation of disturbances. One key disturbance in high-power laser applications results from thermal loading due to absorption. This…

Optics · Physics 2025-06-24 Mark Kurcsics , Peter Eberhard

The demands on performance of advanced linear accelerator based facilities strongly depend on the quality of the particle beams produced by such machines. Indeed, state-of-the-art applications in photon production and high-energy physics…

Precise magnetic field modeling is fundamental to the closed-loop control of electromagnetic navigation systems (eMNS) and the analytical Multipole Expansion Model (MPEM) is the current standard. However, the MPEM relies on strict physical…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Antonio Bernardes , Jasan Zughaibi , Michael Muehlebach , Bradley J. Nelson

Computing the trajectories of particles in generic beamlines is an important ingredient of experimental particle physics, in particular regarding near-beam detectors. A new tool, Hector, has been built for such calculations, using the…

Accelerator Physics · Physics 2008-11-26 J. de Favereau de Jeneret , X. Rouby , K. Piotrzkowski

Astrophysical observations suggest that magnetic reconnection in relativistic plasmas plays an important role in the acceleration of energetic particles. Modeling this accurately requires numerical schemes capable of addressing large scales…

Plasma Physics · Physics 2025-09-16 K. M. Schoeffler , F. Bacchini , K. Kormann , B. Eichmann , M. E. Innocenti

In three-dimensional electromagnetic configurations that result from unstable resistive tearing modes particles can efficiently be accelerated to relativistic energies. To prove this resistive magnetohydrodynamic simulations are used as…

Astrophysics · Physics 2009-11-07 Christoph Nodes , Guido T. Birk , Harald Lesch , R. Schopper

The goal of this manuscript is to give an introduction into the design of the magnet lattice and as a consequence into the transverse dynamics of the particles in a synchrotron or storage ring. Starting from the basic principles of how to…

Accelerator Physics · Physics 2013-03-27 Bernhard J. Holzer

For some synchrotron light source beamline applications, a round beam is preferable to a flat one. A conventional method of obtaining round beam in an electron storage ring is to shift its tune close to a linear difference resonance. The…

Accelerator Physics · Physics 2026-03-09 Yongjun Li , Robert Rainer

This paper investigates the equations of motion for a relativistic charged particle in a general magnetic field. By reformulating the dynamics in four-dimensional spacetime and separating the linear and nonlinear parts, we construct an…

Numerical Analysis · Mathematics 2026-03-24 Zhirui Shen , Bin Wang

Controlling non-linear effects in the transverse dynamics of charged particle beams in circular accelerators opens new possibilities for controlling some of the beam properties. Beam splitting by crossing a stable 1D non-linear resonance is…

Accelerator Physics · Physics 2022-02-10 A. Bazzani , F. Capoani , M. Giovannozzi

Atomistic modelling of magnetic materials provides unprecedented detail about the underlying physical processes that govern their macroscopic properties, and allows the simulation of complex effects such as surface anisotropy, ultrafast…

The nonlinear space-charge effects in a high intensity or high brightness accelerator can have a significant impact on the beam properties through the accelerator. These effects are included in the accelerator design via self-consistent…

Accelerator Physics · Physics 2023-02-22 Ji Qiang

Charged particle optics, the description of particle trajectories in the vicinity of some optical axis, describe the imaging properties of particle optics devices. Here, we present a complete and compact description of charged particle…

Optics · Physics 2021-06-16 Felix Kern , Jonas Krehl , Arsha Thampi , Axel Lubk

The modeling of complex atomic spectra is a difficult task, due to the huge number of levels and lines involved. In the presence of a magnetic field, the computation becomes even more difficult. The anomalous Zeeman pattern is a…

Atomic Physics · Physics 2015-06-04 Jean-Christophe Pain , Franck Gilleron

Symplectic integrators for Hamiltonian systems have been quite successful for studying few-body dynamical systems. These integrators are frequently derived using a formalism built on symplectic maps. There have been recent efforts to extend…

Plasma Physics · Physics 2017-05-10 Stephen D. Webb , Dan T. Abell , Nathan M. Cook , David L. Bruhwiler

Real-time simulations of laser-driven electron dynamics contain information about molecular optical properties through all orders in response theory. These properties can be extracted by assuming convergence of the power series expansion of…