# Two-dimensional s-polarized solitary waves in relativistic plasmas. I. The fluid plasma model

## Abstract

The properties of two-dimensional linearly s-polarized solitary waves are investigated by fluid-Maxwell equations and particle-in-cell (PIC) simulations. These self-trapped electromagnetic waves appear during laser-plasma interactions, and they have a dominant electric field component E{sub z}, normal to the plane of the wave, that oscillates at a frequency below the electron plasma frequency {omega}{sub pe}. A set of equations that describe the waves are derived from the plasma fluid model in the case of cold or warm plasma and then solved numerically. The main features, including the maximum value of the vector potential amplitude, the total energy, the width, and the cavitation radius are presented as a function of the frequency. The amplitude of the vector potential increases monotonically as the frequency of the wave decreases, whereas the width reaches a minimum value at a frequency of the order of 0.82 {omega}{sub pe}. The results are compared with a set of PIC simulations where the solitary waves are excited by a high-intensity laser pulse.

- Authors:

- CEA, DAM, DIF, F-91297 Arpajon (France)

- Publication Date:

- OSTI Identifier:
- 21611750

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevE.84.036403; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1539-3755

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; COMPUTERIZED SIMULATION; ELECTRIC FIELDS; ELECTROMAGNETIC RADIATION; ELECTRONS; FUNCTIONS; LANGMUIR FREQUENCY; LASERS; MAXWELL EQUATIONS; POTENTIALS; PULSES; RELATIVISTIC PLASMA; TWO-DIMENSIONAL CALCULATIONS; VECTORS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; LEPTONS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; RADIATIONS; SIMULATION; TENSORS

### Citation Formats

```
Sanchez-Arriaga, G., and Lefebvre, E.
```*Two-dimensional s-polarized solitary waves in relativistic plasmas. I. The fluid plasma model*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVE.84.036403.

```
Sanchez-Arriaga, G., & Lefebvre, E.
```*Two-dimensional s-polarized solitary waves in relativistic plasmas. I. The fluid plasma model*. United States. doi:10.1103/PHYSREVE.84.036403.

```
Sanchez-Arriaga, G., and Lefebvre, E. Thu .
"Two-dimensional s-polarized solitary waves in relativistic plasmas. I. The fluid plasma model". United States. doi:10.1103/PHYSREVE.84.036403.
```

```
@article{osti_21611750,
```

title = {Two-dimensional s-polarized solitary waves in relativistic plasmas. I. The fluid plasma model},

author = {Sanchez-Arriaga, G. and Lefebvre, E.},

abstractNote = {The properties of two-dimensional linearly s-polarized solitary waves are investigated by fluid-Maxwell equations and particle-in-cell (PIC) simulations. These self-trapped electromagnetic waves appear during laser-plasma interactions, and they have a dominant electric field component E{sub z}, normal to the plane of the wave, that oscillates at a frequency below the electron plasma frequency {omega}{sub pe}. A set of equations that describe the waves are derived from the plasma fluid model in the case of cold or warm plasma and then solved numerically. The main features, including the maximum value of the vector potential amplitude, the total energy, the width, and the cavitation radius are presented as a function of the frequency. The amplitude of the vector potential increases monotonically as the frequency of the wave decreases, whereas the width reaches a minimum value at a frequency of the order of 0.82 {omega}{sub pe}. The results are compared with a set of PIC simulations where the solitary waves are excited by a high-intensity laser pulse.},

doi = {10.1103/PHYSREVE.84.036403},

journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},

issn = {1539-3755},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}