# A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm

## Abstract

We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference 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 laser-plasma 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 zero-order numerical Cherenkov effect.

- Authors:

- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. of Hamburg, Hamburg (Germany)
- Univ. Paris-Saclay, Palaiseau cedex (France)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Maryland, College Park, MD (United States)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1393047

- Grant/Contract Number:
- AC02-05CH11231

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Computer Physics Communications

- Additional Journal Information:
- Journal Volume: 203; Journal Issue: C; Journal ID: ISSN 0010-4655

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; particle-in-cell; pseudo-spectral; Hankel transform; cylindrical geometry

### Citation Formats

```
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., and Vay, Jean -Luc. A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm. United States: N. p., 2016.
Web. doi:10.1016/j.cpc.2016.02.007.
```

```
Lehe, Remi, Kirchen, Manuel, Andriyash, Igor A., Godfrey, Brendan B., & Vay, Jean -Luc. A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell 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. Wed .
"A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm". United States. doi:10.1016/j.cpc.2016.02.007. https://www.osti.gov/servlets/purl/1393047.
```

```
@article{osti_1393047,
```

title = {A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm},

author = {Lehe, Remi and Kirchen, Manuel and Andriyash, Igor A. and Godfrey, Brendan B. and Vay, Jean -Luc},

abstractNote = {We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference 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 laser-plasma 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 zero-order 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}

}

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Cited by: 12 works

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Works referencing / citing this record:

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