Title
Numerical paraxial approximation for highly relativistic beams
Abstract
This paper is concerned with the numerical simulation of highly relativistic beams. We developed a particle-in-cell code for highly relativistic beams, based on the paraxial Vlasov–Maxwell formulation of Laval et al. This formulation follows the beam in a speed-of-light frame. It is fourth order accurate in the small characteristic velocity of the beam. The formulation is simpler than standard particle-in-cell codes in the lab frame or in the beam frame and gives a fast and easy to implement algorithm. Numerical examples illustrate the accuracy of the method.
Year
DOI
Venue
2009
10.1016/j.cpc.2008.12.037
Computer Physics Communications
Keywords
Field
DocType
07.05.Tp,02.70.-c,52.65.Rr,52.65.-d
Paraxial approximation,Computer simulation,Fourth order,Mathematical analysis,Beam (structure),Characteristic velocity,Physics
Journal
Volume
Issue
ISSN
180
7
0010-4655
Citations 
PageRank 
References 
4
1.84
0
Authors
2
Name
Order
Citations
PageRank
Franck Assous1139.38
Felix Tsipis241.84