A Symplectic Multi-Particle Tracking Model for Self-Consistent Space-Charge Simulation

Abstract

Symplectic tracking is important in accelerator beam dynamics simulation. So far, to the best of our knowledge, there is no self-consistent symplectic space-charge tracking model available in the accelerator community. In this paper, we present a two-dimensional and a three-dimensional symplectic multi-particle spectral model for space-charge tracking simulation. This model includes both the effect from external fields and the effect of self-consistent space-charge fields using a split-operator method. Such a model preserves the phase space structure and shows much less numerical emittance growth than the particle-in-cell model in the illustrative examples.

References in corpus (5)

• Variational formulation of particle algorithms for kinetic plasma simulations
• Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system
• Grid induced noise and entropy growth in 3d particle-in-cell simulation of high intensity beams
• Propagation of numerical noise in particle-in-cell tracking
• A Spectral Canonical Electrostatic Algorithm

Cited by in corpus (8)

• Structure-Preserving Geometric Particle-in-Cell Methods for Vlasov-Maxwell Systems
• A symplectic particle-in-cell model for space-charge beam dynamics simulation
• Local Energy Conservation Law for Spatially-Discretized Hamiltonian Vlasov-Maxwell System
• High Order Explicit Lorentz Invariant Volume-preserving Algorithms for Relativistic Dynamics of Charged Particles
• Simulations of Future Particle Accelerators: Issues and Mitigations
• Time simulation of the nonlinear wave-particle interaction in meters long traveling-wave tubes
• Using Kernel-Based Statistical Distance to Study the Dynamics of Charged Particle Beams in Particle-Based Simulation Codes
• Two-and-a-half dimensional symplectic space-charge solver