Relativistic Lagrangian and Hamiltonian Description of a Beam with Space-Charge

TL;DR

This paper applies a symplectic particle-in-cell algorithm to model space-charge effects in cyclotrons, providing a relativistic Lagrangian and Hamiltonian framework for accurate beam dynamics simulation.

Contribution

It introduces a relativistic Lagrangian and Hamiltonian approach combined with a symplectic PIC algorithm for space-charge modeling in cyclotrons, enhancing simulation accuracy.

Findings

Effective modeling of space-charge effects in relativistic beams.

Improved accuracy in beam dynamics simulations.

Validation of the symplectic PIC method for cyclotron applications.

Abstract

Application of the symplectic particle-in-cell algorithm proposed by H.~Qin {\it et al.} to space-charge in cyclotrons.