Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

Stimulated Raman scattering of beat wave of two counter-propagating right circularly polarized lasers in an axially magnetized plasma

Document Type : Research Paper

Author

A. Paknezhad

Department of Physics, Shabestar Branch, Islamic Azad University, Postalcode: 5381637181, Shabestar – Iran

https://doi.org/10.24200/nst.2020.1139
Abstract
The stimulated Raman scattering caused by beating of two counter-propagating lasers in magnetized plasma has been investigated. The input waves have a right circular polarization and the plasma is embedded in a uniform axial external magnetic field. Also, the difference in frequency of the input waves is more than twice that of the plasma frequency. Pandromotive force generated by the beat wave excites a plasma wave and scatter the beat wave in the plasma. The nonlinear current density due to the coupling of the plasma wave and the beat wave causes the amplitude of these waves to increase. By using the equation of motion of electrons as well as the wave equation, the dispersion relation of the scattered wave and the growth rate of instability have been obtained. It shows that the presence of the magnetic field increases the maximum growth rate. Also, the growth increases by increasing the external magnetic field, so that, the instability is exacerbated at the cutoff frequency. Also, the greater the difference in the frequency of the two waves of pumps, the more the growth rate.

Highlights

1. T.W. Huang, et al, Electron acceleration induced by interaction of two relativistic laser pulses in underdense plasmas, Phys. Rev. E, 98, 053207 (2018).

 

2. L. Hao, et al, Simulation of stimulated Brillouin scattering and stimulated Raman scattering in shock ignition, Phys. Plasmas, 23, 042702, (2016).

 

3. N. Lemos, et al, X-ray sources using a picosecond laser driven plasma accelerator, Physics of plasmas. 26, 83110 (2019).

 

4. V. Sajal, A. Panwar, V.K. Tripathi, Relativistic forward stimulated Raman scattering of a laser in a plasma channel, Phys. Scr. 74, 484-488 (2006).

 

5. Z.J. Liu, et al, Controlling stimulated Raman scattering by two-color light in inertial confinement Fusion, Phys. Plasmas, 24, 082704 (2017).

 

6. J.G. Moreau, et al, Stimulated Raman scattering in the relativistic regime in near-critical plasmas, Phys. Rev. E 95, 013208 (2017),

 

7. A. Paknezhad, D. Dorranian, Nonlinear backward Raman scattering in the short laser pulse interaction with a cold underdense transversely magnetized plasma, Laser and Particle Beams, 29, 373-380 (2011).

 

8. J. Yazdanpanah, Self modulation and scattering instability of a relativistic short laser pulse in an underdense plasma, Plasma Phys. Control. Fusion, 61, 085021 (2019).

 

9. D.F. Gordon, et al, Seeding of the forward Raman instability by ionization fronts and Raman backscatter, Phys. Rev. E, 64, 046404 (2001).

 

10. C.B. Schroeder, et al, Nonlinear pulse propagation and phase velocity of laser-driven plasma waves, Phys. Rev. Lett. 106, 135002 (2011).

 

11. G. Shevets, N.J. Fisch, Parametric Excitations of Fast Plasma Waves by Counterpropagating Laser Beams, Phys. Rev. Lett. 86, 3328 (2001).

 

12. S. Liu, V.K. Tripathi, Second-harmonic generation of Raman scattered light in a plasma channel, Phys. Rev. E, 54, 4098 (1996).

 

13. H.A. Salih, V.K. Tripathi, M. Rafat, Stimulated Raman scattering of the beat wave of counter-propagating lasers, Phys. Plasmas, 11, 2 (2004).

 

14. A. Paknezhad, Effect of dc-magnetic field on the growth rate of Raman backscattering of Xmode laser in magnetized collisional, Plasma Laser and Particle Beams, 34, 80-85 (2016).

 

15. A. Paknezhad, Nonlinear Raman forward scattering of a short laser pulse in a collisional transversely magnetized plasma, Phys. Plasmas, 20, 012110 (2013).

 

16. V. Sajal, D. Dahya, V.K. Tripathi, Stimulated forward Raman scattering of a laser in a magnetized plasma, Phys. Plasmas, 14, 032109 (2007).

 

17. K. Verma, et al, Stimulated Raman scattering of beat wave of two counter-propagating X-mode, Lasers in a magnetized plasma, Phys. Plasmas, 21, 022104 (2014).

 

18. A. Vyas, et al, Effect of the axial magnetic field on coexisting stimulated Raman and Brillouin scattering of a circularly, Laser and Particle Beams, 35, 19-25 (2017).

Keywords

Raman scattering
Beat wave
Magnetized plasma
Growth rate
Cut-off frequency
1. T.W. Huang, et al, Electron acceleration induced by interaction of two relativistic laser pulses in underdense plasmas, Phys. Rev. E, 98, 053207 (2018).
 
2. L. Hao, et al, Simulation of stimulated Brillouin scattering and stimulated Raman scattering in shock ignition, Phys. Plasmas, 23, 042702, (2016).
 
3. N. Lemos, et al, X-ray sources using a picosecond laser driven plasma accelerator, Physics of plasmas. 26, 83110 (2019).
 
4. V. Sajal, A. Panwar, V.K. Tripathi, Relativistic forward stimulated Raman scattering of a laser in a plasma channel, Phys. Scr. 74, 484-488 (2006).
 
5. Z.J. Liu, et al, Controlling stimulated Raman scattering by two-color light in inertial confinement Fusion, Phys. Plasmas, 24, 082704 (2017).
 
6. J.G. Moreau, et al, Stimulated Raman scattering in the relativistic regime in near-critical plasmas, Phys. Rev. E 95, 013208 (2017),
 
7. A. Paknezhad, D. Dorranian, Nonlinear backward Raman scattering in the short laser pulse interaction with a cold underdense transversely magnetized plasma, Laser and Particle Beams, 29, 373-380 (2011).
 
8. J. Yazdanpanah, Self modulation and scattering instability of a relativistic short laser pulse in an underdense plasma, Plasma Phys. Control. Fusion, 61, 085021 (2019).
 
9. D.F. Gordon, et al, Seeding of the forward Raman instability by ionization fronts and Raman backscatter, Phys. Rev. E, 64, 046404 (2001).
 
10. C.B. Schroeder, et al, Nonlinear pulse propagation and phase velocity of laser-driven plasma waves, Phys. Rev. Lett. 106, 135002 (2011).
 
11. G. Shevets, N.J. Fisch, Parametric Excitations of Fast Plasma Waves by Counterpropagating Laser Beams, Phys. Rev. Lett. 86, 3328 (2001).
 
12. S. Liu, V.K. Tripathi, Second-harmonic generation of Raman scattered light in a plasma channel, Phys. Rev. E, 54, 4098 (1996).
 
13. H.A. Salih, V.K. Tripathi, M. Rafat, Stimulated Raman scattering of the beat wave of counter-propagating lasers, Phys. Plasmas, 11, 2 (2004).
 
14. A. Paknezhad, Effect of dc-magnetic field on the growth rate of Raman backscattering of Xmode laser in magnetized collisional, Plasma Laser and Particle Beams, 34, 80-85 (2016).
 
15. A. Paknezhad, Nonlinear Raman forward scattering of a short laser pulse in a collisional transversely magnetized plasma, Phys. Plasmas, 20, 012110 (2013).
 
16. V. Sajal, D. Dahya, V.K. Tripathi, Stimulated forward Raman scattering of a laser in a magnetized plasma, Phys. Plasmas, 14, 032109 (2007).
 
17. K. Verma, et al, Stimulated Raman scattering of beat wave of two counter-propagating X-mode, Lasers in a magnetized plasma, Phys. Plasmas, 21, 022104 (2014).
 
18. A. Vyas, et al, Effect of the axial magnetic field on coexisting stimulated Raman and Brillouin scattering of a circularly, Laser and Particle Beams, 35, 19-25 (2017).

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