# Nonlinear plasma response to a slowly varying electrostatic wave, and application to stimulated Raman scattering

## Abstract

The nonlinear electronic susceptibility induced by an electrostatic wave slowly varying in space and time, which is the key parameter for the kinetic modeling of stimulated Raman scattering (SRS), is derived analytically. When calculating the real part of the susceptibility, by making the adiabatic approximation, account is taken of the amplitude dependence of the wave frequency. Then, the 'loss of resonance' of a plasma wave is found to occur at much larger amplitudes than has been predicted by Rose and Russel [H. A. Rose and D. A. Russell, Phys. Plasmas 11, 4784 (2001)] using the constant-frequency approximation. The imaginary part of the susceptibility, from which is deduced the Landau damping rate of the plasma wave, is derived using two different approaches (perturbative or not) depending on the wave amplitude. It is shown to be a nonlocal function of the wave amplitude, which underlines the importance of interspeckle interactions in SRS.

- Authors:

- Departement de Physique Theorique et Appliquee, CEA/DAM Ile-de-France, Boite Postale 12, 91680 Bruyeres-Le-Chatel Cedex (France)

- Publication Date:

- OSTI Identifier:
- 20974925

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 4; Other Information: DOI: 10.1063/1.2711819; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ADIABATIC APPROXIMATION; AMPLITUDES; INTERACTIONS; LANDAU DAMPING; LIGHT TRANSMISSION; NONLINEAR PROBLEMS; PLASMA; PLASMA WAVES; RAMAN EFFECT; RESONANCE; SIMULATION; STRONTIUM SULFIDES

### Citation Formats

```
Benisti, Didier, and Gremillet, Laurent.
```*Nonlinear plasma response to a slowly varying electrostatic wave, and application to stimulated Raman scattering*. United States: N. p., 2007.
Web. doi:10.1063/1.2711819.

```
Benisti, Didier, & Gremillet, Laurent.
```*Nonlinear plasma response to a slowly varying electrostatic wave, and application to stimulated Raman scattering*. United States. doi:10.1063/1.2711819.

```
Benisti, Didier, and Gremillet, Laurent. Sun .
"Nonlinear plasma response to a slowly varying electrostatic wave, and application to stimulated Raman scattering". United States.
doi:10.1063/1.2711819.
```

```
@article{osti_20974925,
```

title = {Nonlinear plasma response to a slowly varying electrostatic wave, and application to stimulated Raman scattering},

author = {Benisti, Didier and Gremillet, Laurent},

abstractNote = {The nonlinear electronic susceptibility induced by an electrostatic wave slowly varying in space and time, which is the key parameter for the kinetic modeling of stimulated Raman scattering (SRS), is derived analytically. When calculating the real part of the susceptibility, by making the adiabatic approximation, account is taken of the amplitude dependence of the wave frequency. Then, the 'loss of resonance' of a plasma wave is found to occur at much larger amplitudes than has been predicted by Rose and Russel [H. A. Rose and D. A. Russell, Phys. Plasmas 11, 4784 (2001)] using the constant-frequency approximation. The imaginary part of the susceptibility, from which is deduced the Landau damping rate of the plasma wave, is derived using two different approaches (perturbative or not) depending on the wave amplitude. It is shown to be a nonlocal function of the wave amplitude, which underlines the importance of interspeckle interactions in SRS.},

doi = {10.1063/1.2711819},

journal = {Physics of Plasmas},

number = 4,

volume = 14,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}