### Abstract

Language | English |
---|---|

Article number | 013103 |

Number of pages | 6 |

Journal | Physics of Plasmas |

Volume | 20 |

Issue number | 1 |

Early online date | 8 Jan 2013 |

DOIs | |

Publication status | Published - 8 Jan 2013 |

### Fingerprint

### Keywords

- quantum plasma
- laser
- instability
- intense laser beams

### Cite this

*Physics of Plasmas*,

*20*(1), [013103]. https://doi.org/10.1063/1.4774064

}

*Physics of Plasmas*, vol. 20, no. 1, 013103. https://doi.org/10.1063/1.4774064

**Instability and dynamics of two nonlinearly coupled intense laser beams in a quantum plasma.** / Wang, Yunliang; Shukla, Padma; Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Instability and dynamics of two nonlinearly coupled intense laser beams in a quantum plasma

AU - Wang, Yunliang

AU - Shukla, Padma

AU - Eliasson, Bengt

PY - 2013/1/8

Y1 - 2013/1/8

N2 - We consider nonlinear interactions between two relativistically strong laser beams and a quantum plasma composed of degenerate electron fluids and immobile ions. The collective behavior of degenerate electrons is modeled by quantum hydrodynamic equations composed of the electron continuity, quantum electron momentum (QEM) equation, as well as the Poisson and Maxwell equations. The QEM equation accounts the quantum statistical electron pressure, the quantum electron recoil due to electron tunneling through the quantum Bohm potential, electron-exchange, and electron-correlation effects caused by electron spin, and relativistic ponderomotive forces (RPFs) of two circularly polarized electromagnetic (CPEM) beams. The dynamics of the latter are governed by nonlinear wave equations that include nonlinear currents arising from the relativistic electron mass increase in the CPEM wave fields, as well as from the beating of the electron quiver velocity and electron density variations reinforced by the RPFs of the two CPEM waves. Furthermore, nonlinear electron density variations associated with the driven (by the RPFs) quantum electron plasma oscillations obey a coupled nonlinear Schrödinger and Poisson equations. The nonlinearly coupled equations for our purposes are then used to obtain a general dispersion relation (GDR) for studying the parametric instabilities and the localization of CPEM wave packets in a quantum plasma. Numerical analyses of the GDR reveal that the growth rate of a fastest growing parametrically unstable mode is in agreement with the result that has been deduced from numerical simulations of the governing nonlinear equations. Explicit numerical results for two-dimensional (2D) localized CPEM wave packets at nanoscales are also presented. Possible applications of our investigation to intense laser-solid density compressed plasma experiments are highlighted.

AB - We consider nonlinear interactions between two relativistically strong laser beams and a quantum plasma composed of degenerate electron fluids and immobile ions. The collective behavior of degenerate electrons is modeled by quantum hydrodynamic equations composed of the electron continuity, quantum electron momentum (QEM) equation, as well as the Poisson and Maxwell equations. The QEM equation accounts the quantum statistical electron pressure, the quantum electron recoil due to electron tunneling through the quantum Bohm potential, electron-exchange, and electron-correlation effects caused by electron spin, and relativistic ponderomotive forces (RPFs) of two circularly polarized electromagnetic (CPEM) beams. The dynamics of the latter are governed by nonlinear wave equations that include nonlinear currents arising from the relativistic electron mass increase in the CPEM wave fields, as well as from the beating of the electron quiver velocity and electron density variations reinforced by the RPFs of the two CPEM waves. Furthermore, nonlinear electron density variations associated with the driven (by the RPFs) quantum electron plasma oscillations obey a coupled nonlinear Schrödinger and Poisson equations. The nonlinearly coupled equations for our purposes are then used to obtain a general dispersion relation (GDR) for studying the parametric instabilities and the localization of CPEM wave packets in a quantum plasma. Numerical analyses of the GDR reveal that the growth rate of a fastest growing parametrically unstable mode is in agreement with the result that has been deduced from numerical simulations of the governing nonlinear equations. Explicit numerical results for two-dimensional (2D) localized CPEM wave packets at nanoscales are also presented. Possible applications of our investigation to intense laser-solid density compressed plasma experiments are highlighted.

KW - quantum plasma

KW - laser

KW - instability

KW - intense laser beams

UR - http://pop.aip.org/resource/1/phpaen/v20/i1/p013103_s1

U2 - 10.1063/1.4774064

DO - 10.1063/1.4774064

M3 - Article

VL - 20

JO - Physics of Plasmas

T2 - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 1

M1 - 013103

ER -