# Stimulated scattering instabilities of electromagnetic waves in an ultracold quantum plasma

## Abstract

The nonlinear interaction between a large-amplitude electromagnetic wave (EMW) and low-frequency electron and ion plasma oscillations in a quantum plasma is considered. By using the Maxwell equations and the quantum hydrodynamic equations, a system of equations, which shows the nonlinear couplings between the EMWs and the electrostatic plasma oscillations, is derived. The nonlinear mode coupled equations are then Fourier analyzed to obtain the dispersion relation which exhibits decay and modulational instabilities. The relevance of such an investigation of stimulated scattering of light off plasmons in ultracold quantum plasmas is noted.

- Authors:

- Institut fuer Theoretische Physik IV and the Centre of Excellence for Plasma Science and Astrophysics, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
- (Sweden)

- Publication Date:

- OSTI Identifier:
- 20782770

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 4; Other Information: DOI: 10.1063/1.2196248; (c) 2006 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; AMPLITUDES; DECAY; DISPERSION RELATIONS; ELECTRONS; FOURIER ANALYSIS; IONS; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; PLASMA INSTABILITY; PLASMA WAVES; PLASMONS; QUANTUM PLASMA; SCATTERING

### Citation Formats

```
Shukla, P.K., Stenflo, L., and Centre for Nonlinear Physics, Department of Physics, Umeaa University, SE-90187 Umeaa.
```*Stimulated scattering instabilities of electromagnetic waves in an ultracold quantum plasma*. United States: N. p., 2006.
Web. doi:10.1063/1.2196248.

```
Shukla, P.K., Stenflo, L., & Centre for Nonlinear Physics, Department of Physics, Umeaa University, SE-90187 Umeaa.
```*Stimulated scattering instabilities of electromagnetic waves in an ultracold quantum plasma*. United States. doi:10.1063/1.2196248.

```
Shukla, P.K., Stenflo, L., and Centre for Nonlinear Physics, Department of Physics, Umeaa University, SE-90187 Umeaa. Sat .
"Stimulated scattering instabilities of electromagnetic waves in an ultracold quantum plasma". United States.
doi:10.1063/1.2196248.
```

```
@article{osti_20782770,
```

title = {Stimulated scattering instabilities of electromagnetic waves in an ultracold quantum plasma},

author = {Shukla, P.K. and Stenflo, L. and Centre for Nonlinear Physics, Department of Physics, Umeaa University, SE-90187 Umeaa},

abstractNote = {The nonlinear interaction between a large-amplitude electromagnetic wave (EMW) and low-frequency electron and ion plasma oscillations in a quantum plasma is considered. By using the Maxwell equations and the quantum hydrodynamic equations, a system of equations, which shows the nonlinear couplings between the EMWs and the electrostatic plasma oscillations, is derived. The nonlinear mode coupled equations are then Fourier analyzed to obtain the dispersion relation which exhibits decay and modulational instabilities. The relevance of such an investigation of stimulated scattering of light off plasmons in ultracold quantum plasmas is noted.},

doi = {10.1063/1.2196248},

journal = {Physics of Plasmas},

number = 4,

volume = 13,

place = {United States},

year = {Sat Apr 15 00:00:00 EDT 2006},

month = {Sat Apr 15 00:00:00 EDT 2006}

}

DOI: 10.1063/1.2196248

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