A Mathematical Modelling with Zakharov System for Langmuir Wave in Unmagnetized Plasma

In this article we present a discussion and overview of mathematical result of the self-focusing of a Langmuir wave which governs Zakharov system and has studied the self- focusing of a Langmuir wave following by Gaussian distribution. Langmuir wave propagates through uncharged plasma which governed by Zakharov systems. The phenomenon plays a vital role in the Dynamics. We present the article mathematical model with effect of Landou damping. Relativistic mass oscillation and ponderomotive force on electrons of the ionized plasma encouraged the Langmuir wave which resists the self-focusing effect when damping is ignored. The Beam radius gets narrow. when it further propagates considering the paraxial ray’s approximation, the self-focusing length Rn. It shows that characteristics of varying bandwidth distance of propagation in relativistic plasma.

Download Full-text

Parametric excitation of a plasma

Journal of Plasma Physics ◽

10.1017/s0022377800005055 ◽

1970 ◽

Vol 4 (2) ◽

pp. 357-369 ◽

Cited By ~ 5

Author(s):

C. S. Chen ◽

G. J. Lewak

Keyword(s):

Growth Rate ◽

Parametric Excitation ◽

Langmuir Wave ◽

Magnetized Plasma ◽

Transverse Waves ◽

Ion Motion ◽

Oscillating Electric Field ◽

Unmagnetized Plasma ◽

The Magnetic Field ◽

Transverse Propagation

The parametric effect of an applied uniform oscillating electric field on both unmagnetized and magnetized plasmas is investigated. By using a perturbation method of multitime scales, we have shown that parametric excitation of transverse waves propagating obliquely to the applied field in an unmagnetized plasma is possible. The growth rate of the excited waves reaches a maximum for transverse propagation. Ion motion does not change the character of the parametric excitation except by reducing the growth rate. In a magnetized plasma it is shown that excitation of a pair of waves is possible where one is a Langmuir wave, propagating along the magnetic field and the other is a circularly polarized transverse wave propagating in the opposite direction.

Download Full-text

Three-dimensional instability of two nonlinearly coupled electromagnetic waves in a plasma

Journal of Plasma Physics ◽

10.1017/s0022377807006666 ◽

2008 ◽

Vol 74 (3) ◽

pp. 371-379 ◽

Cited By ~ 2

Author(s):

LENNART STENFLO ◽

BENGT ELIASSON ◽

MATTIAS MARKLUND

Keyword(s):

Electromagnetic Waves ◽

Pump Wave ◽

Three Dimensional ◽

Langmuir Wave ◽

Ionospheric Heating ◽

Ion Acoustic Wave ◽

Instability Regions ◽

Unmagnetized Plasma ◽

Pump Waves ◽

Dimensional Instability

AbstractThe three-dimensional instability of two coupled electromagnetic waves in an unmagnetized plasma is investigated theoretically and numerically. In the regime of two-plasmon decay, where one pump wave frequency is approximately twice the electron plasma frequency, we find that the coupled pump waves give rise to enhanced instability with wavevectors between those of the two beams. In the case of ion parametric decay instability, where the pump wave decays into one Langmuir wave and one ion acoustic wave, the instability regions are added with no distinct amplification. Our investigation can be useful in interpreting laser-plasma as well as ionospheric heating experiments.

Download Full-text