The aim of this contribution is to study the particle dynamics in a storage ring under the influence of noise. Some simplified stochastic beam dynamics problems are treated by solving the corresponding Fokker-Planck equations numerically.

Efficient numerical and parallel methods have been used at Argonne National Laboratory (ANL) to develop petascalable software packages for beam dynamics simulations. This paper is an summary of the numerical methods and parallel algorithms used and developed in the past five years at ANL. It is an extension to the paper “Developing petascalable algorithms for beam dynamics simulations,” on proc...

In particle-in-cell (PIC) simulation, errors in space charge forces are of random character. It results in an unphysical increase of effective beam emittance, even while symplectic integrator is used. To establish quantitative measure of this effect on beam dynamics, an analytical model of equilibrium beam affected by random errors in space charge field calculations is considered. An explicit e...

It has been found that quantum corrections can substantially affect the classical results of tracking for trajectories close to the separatrix. Hence the development of a basic formalism for obtaining the quantum maps for any particle beam optical system is called for. To this end, it is observed that several aspects of quantum maps for the beam optics of spin2 particles can be studied, at the ...

In this paper some approaches to beam dynamics simulation via parallel and distributed computing are discussed. This approach is based on two modeling levels. On the first level we find symbolic presentations both for a beam propagator (using the matrix formalism for Lie transformations)and for particle beam description (using a set of model distribution functions). On this level the LEGOtechno...

LEP has proved to be one of the most flexible ee colliders built to date. It has operated at various energies, in several modes, with everincreasing demands for luminosity in clean and precisely known beam conditions. Together with some unique features, LEP therefore has much in common with future ee factories. Beam-dynamical phenomena have been among the crucial determinants of LEP’s performan...

The conception of High Power Linac developed in Russian accelerator centres is based on the use of independently phased SC resonators with quadrupole lenses between them. The type and parameters of the resonators as well as focusing structure are varied along the linac to optimise beam dynamics and the characteristics of the linac. The beam evolution in the linac was studied by simulation in 3D...

A generic 3D laser-pulse-shaping scheme is proposed towards the generation of a uniform ellipsoidal particle distribution, an ideal distribution due to the linear dependence of the space-charge force on the particle position. The shaping is accomplished via spatiotemporal coupling of the laser dynamics via chromatic aberration in an optical lens. Particle tracking simulations show that the elec...