Volume 3,Issue 1
Fall 2023
Weibel instability in Weakly Relativistic Laser Fusion Plasma
In this work, the Weibel instability due to inverse bremsstrahlung (IB) absorption in laser fusion plasma has been investigated. 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 this study, the relativistic effects are taken into account; here the basic equation is the relativistic Fokker-Planck equation. The main obtained result is that the coupling of self- generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes. We found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of two orders in the growth rate spectrum 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.
1. E. S. Weibel, Phys. Rev. Lett. 2, 83 (1959).
2. K. Bendib, A. Bendib and A. Sid, Laser and Particle Beams 16, 3 (1998).
3. L. Bhatanagar, E.P. Gross, M. Krook, phys, rev, 94, 511(1954)
4. Slimen Belghit and Abdelaziz Sid, PHYSICS OF PLASMAS 23, 063104 (2016)
5. I. P. Shkarofsky, T.W. Johnston and M.P. Bachynski, The particule Kinetic of Plasmas, (Addison-Wesley) 1966.
6. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, (Dover, New York 1970).
7. T. M. Macrobert. Spherical harmonics an elementary treatise on harmonic functions with applications second edition, revised. 1947.
8. A. B. Langdon, Phys. Rev. Lett. 44, 575 (1980).
9. A. Bendib, K. Bendib and A. Sid, Phys. Rev. E55, 7522 (1997).
10. A. Bendib and J. F. Luciani, Phys. Fluids 30, 1353 (1987).
11. A. Sid, S. Belghit and A. Ghezal, 25th IAEA Fusion Energy Conference IAEA CN-221-IFE/P6-8, 2014.
12. Wright, T. P. & Hadley, G. R. (1975). Phys. Rev. A 12, no. 2, p. 686-697.
13. D. Pesme, La fusion thermonucléaire contrôlée par laser, Ed. R. Dautrey et J. P. Watteau (Eyrolles, Paris 1993).
14. J. D. Lindl, R. L. McCroy and E. M. Campbell, Progress towards and burn propagation in inertiel confinement fusion, Phys. Today, 34, (1992).
15. P. Alaterre, J. P. Matte and M. Lamoureux, Phys. Rev. A 34, 1578 (1986).
16. J. P. Matte and all, Plasma Phys. Controlled Fusion 30, 1665 (1988).
17. A. Sid, Physics of Plasmas, 1, 214 (2003).