A spectral, quasicylindrical and dispersionfree ParticleInCell algorithm
We propose a spectral ParticleInCell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have closetocylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finitedifference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laserplasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm  including the zeroorder numerical Cherenkov effect.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]};
^{[1]}
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Univ. of Hamburg, Hamburg (Germany)
 Univ. ParisSaclay, Palaiseau cedex (France)
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Maryland, College Park, MD (United States)
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Computer Physics Communications
 Additional Journal Information:
 Journal Volume: 203; Journal Issue: C; Journal ID: ISSN 00104655
 Publisher:
 Elsevier
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; particleincell; pseudospectral; Hankel transform; cylindrical geometry
 OSTI Identifier:
 1393047
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean Luc. A spectral, quasicylindrical and dispersionfree ParticleInCell algorithm. United States: N. p.,
Web. doi:10.1016/j.cpc.2016.02.007.
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., & Vay, Jean Luc. A spectral, quasicylindrical and dispersionfree ParticleInCell algorithm. United States. doi:10.1016/j.cpc.2016.02.007.
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean Luc. 2016.
"A spectral, quasicylindrical and dispersionfree ParticleInCell algorithm". United States.
doi:10.1016/j.cpc.2016.02.007. https://www.osti.gov/servlets/purl/1393047.
@article{osti_1393047,
title = {A spectral, quasicylindrical and dispersionfree ParticleInCell algorithm},
author = {Lehe, Remi and Kirchen, Manuel and Andriyash, Igor A. and Godfrey, Brendan B. and Vay, Jean Luc},
abstractNote = {We propose a spectral ParticleInCell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have closetocylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finitedifference PIC codes, the proposed algorithm is free of spurious numerical dispersion, in vacuum. This algorithm is benchmarked in several situations that are of interest for laserplasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm  including the zeroorder numerical Cherenkov effect.},
doi = {10.1016/j.cpc.2016.02.007},
journal = {Computer Physics Communications},
number = C,
volume = 203,
place = {United States},
year = {2016},
month = {2}
}