Abstract
In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.
Highlights
Several authors have made the case that Weibel instability can and should be taught to undergraduate physics students [1,2,3,4,5] and many other articles can be found offering advice in this endeavor [6, 7]
We aim in this work to investigate the Weibel instability due to inverse bremsstrahlung absorption taking into account the stabilization effect due to the coupling of the self-generated magnetic field by the Weibel instability with the laser wave field in the relativistic regime
The dispersion relation of the Weibel modes is explicitly established under some justified approximation in the laser-fusion experiments [18, 19]
Summary
Several authors have made the case that Weibel instability can and should be taught to undergraduate physics students [1,2,3,4,5] and many other articles can be found offering advice in this endeavor [6, 7]. We aim in this work to investigate the Weibel instability due to inverse bremsstrahlung absorption taking into account the stabilization effect due to the coupling of the self-generated magnetic field by the Weibel instability with the laser wave field in the relativistic regime This needs to derive the dispersion relation of low-frequency electromagnetic Weibel modes in plasma heated by a laser pulse. The basic equation in this investigation is the Fokker-Planck equation with ameliorated Krook collisions term [3, 8] It results highlight new terms in the dispersion relation, due to the coupling between the laser electric field and the resulting magnetic field by the Weibel instability. In section 3and 4 we present a discussion of results and a brief conclusion summarizing our main results is given
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