中国物理B ›› 2007, Vol. 16 ›› Issue (2): 558-563.doi: 10.1088/1009-1963/16/2/046

• • 上一篇    

On the ponderomotive force and the effect of loss reaction on parametric instability

CesarLaHoz1, 吴军2, 吴健2   

  1. (1)Department of Physics, University of TromsΦ, Norway ; (2)School of Electronic Information, Wuhan University, Wuhan 430079, China;National Key Laboratory of Electromagnetic Environment, China Research Institute of Radiowave Propagation, P.O.~Box 6301, Beijing 102206, China
  • 收稿日期:2006-01-05 修回日期:2006-08-12 出版日期:2007-02-20 发布日期:2007-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 40310223), and the Fund of the National Key Laboratory of Electromagnetic Environment (Grant No~9140C080401060C0805).

On the ponderomotive force and the effect of loss reaction on parametric instability

Wu Jun(吴军)a) b), Wu Jian(吴健)a) b), and Cesar La Hozc)   

  1. a School of Electronic Information, Wuhan University, Wuhan 430079, China; b National Key Laboratory of Electromagnetic Environment, China Research Institute of Radiowave Propagation,  P.O. Box 6301, Beijing 102206, Chinac Department of Physics, University of TromsΦ, Norway
  • Received:2006-01-05 Revised:2006-08-12 Online:2007-02-20 Published:2007-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 40310223), and the Fund of the National Key Laboratory of Electromagnetic Environment (Grant No~9140C080401060C0805).

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摘要： In this paper, the growth rate, ponderomotive force and the exciting condition for parametric instability are derived by considering the loss reaction using a new method. On the basis of the hydrodynamic equations, we take the production and loss reactions in plasma into account to derive the coupling equations for the electron plasma oscillation and ion acoustic oscillation, and obtain the growth rate for the parametric instability, the ponderomotive force and the exciting condition. The result shows that (a) the production reaction has no effect on the parametric instability, and the effect of loss reaction on the parametric instability is a damping one, (b) the more intensive the external field or pump is, the larger the growth rate is, (c) there exist two modes of the ponderomotive force, i.e.\ the high frequency mode and the low frequency mode, and (d) when ponderomotive force counteracts the damping force, the oscillations become non-damping and non-driving. The ratio of the electron plasma oscillation to ion acoustic oscillation is independent of the loss reaction and the external field.

关键词: parametric instability, loss reaction, ponderomotive force

Abstract: In this paper, the growth rate, ponderomotive force and the exciting condition for parametric instability are derived by considering the loss reaction using a new method. On the basis of the hydrodynamic equations, we take the production and loss reactions in plasma into account to derive the coupling equations for the electron plasma oscillation and ion acoustic oscillation, and obtain the growth rate for the parametric instability, the ponderomotive force and the exciting condition. The result shows that (a) the production reaction has no effect on the parametric instability, and the effect of loss reaction on the parametric instability is a damping one, (b) the more intensive the external field or pump is, the larger the growth rate is, (c) there exist two modes of the ponderomotive force, i.e.\ the high frequency mode and the low frequency mode, and (d) when ponderomotive force counteracts the damping force, the oscillations become non-damping and non-driving. The ratio of the electron plasma oscillation to ion acoustic oscillation is independent of the loss reaction and the external field.

Key words: parametric instability, loss reaction, ponderomotive force

中图分类号:  (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

  • 52.35.Mw
52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves)) 52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)) 82.33.Xj (Plasma reactions (including flowing afterglow and electric discharges))