Abstract
We investigate the phenomenon of stimulated Brillouin scattering (SBS) of q-Gaussian laser beams nonlinearly-interacting with underdense plasmas. When an intense laser beam with frequency ω0 propagates through plasma, due to relativistic mass nonlinearity of plasma electrons, it gets coupled to a preexisting-ion acoustic wave (IAW) at frequency ωia. The nonlinear interaction of pump beam with IAWproduces a back-scattered wave at frequency ωs = ω0−ωia. In view of the variational theory, we obtain semi-analytical solutions of the coupled nonlinear wave equations for the three waves (pump, IAW, and scattered wave) under the Wentzel-Kramers-Brillouin (WKB) approximation. We show that the scattered-wave power is significantly affected by the self-focusing effect of the pump beam.
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References
R. S. Craxton, K. S. Anderson, and T. R. Boehly, Phys. Plasmas, 22, 110501 (2015).
K. A. Tanaka, B. Boswell, R. S. Craxton, et al., Phys. Fluids, 28, 2910 (1985).
A. B. Bud’ko and M. A. Liberman, Phys. Fluids B, 4, 3499 (1992).
R. Betti, V. N. Goncharov, R. L. McCrory, and C. P. Verdon, Phys. Plasmas, 5, 1446 (1998).
J. Myatt, A. V. Maximov, W. Seka, et al., Phys. Plasmas, 11, 3394 (2004).
M. Yadav, D. Nandan Gupta, and S. C. Sharma, Phys. Plasmas, 27, 093106 (2020).
A. Singh and N. Gupta, Laser Part. Beams, 34, 230 (2016).
N. Gupta and A. Singh, Cont. Plasma Phys., 56, 889 (2016).
R. N. Agarwal, V. K. Tripathi, and P. C. Agarwal, IEEE Trans. Plasma Sci., 24, 143 (1996).
B. I. Cohen, C. J. McKinstrie, and E. A. Startsev, Phys. Plasmas, 9, 4375 (2002).
C. S. Liu, M. N. Rosenbluth, and R. B. White, Phys. Fluids, 17, 1211 (1974).
D. W. Forslund, J. M. Kindel, and E. L. Lindman, Phys. Fluids, 18, 1002 (1975).
D. W. Forslund, J. M. Kindel, and E. L. Lindman, Phys. Rev. Lett., 30, 739 (1973).
C. J. Randall, J. J. Thomson, and K. G. Estabrook, Phys. Rev. Lett., 43, 924 (1979).
L. Brillouin, Ann. Phys. (France), 17, 88 (1922).
R. Y. Chiao, C. H. Townes, and B. P. Stoicheff, Phys. Rev. Lett., 12, 592 (1964).
T. H. Maiman, Nature, 187, 493 (1960).
A. Singh and K. Walia, J. Fusion Ener., 32, 355 (2013).
A. Singh and K. Walia, Opt. Commun., 290, 175 (2013).
A. Singh and K. Walia, J. Fusion Ener., 31, 531 (2012).
R.P. Sharma, P. Sharma, S. Rajput, and A. K. Bhardwaj, Laser Part. Beams, 27, 619 (2009).
Q. Feng, L. Cao, Z. Liu, et al., Sci. Rep., 10, 3492 (2020).
S. Weber, C. Riconda, and V. T. Tikhonchuk, Phys. Plasmas, 12, 043101 (2005).
P. K. Patel, M. H. Key, A. J. Mackinnon, et al., Plasma Phys. Control. Fusion, 47, B833 (2005).
M. Nakatsutsumi, J. R. Davies, R. Kodama, et al., New J. Phys., 10, 043046 (2008).
C. Tsallis, Braz. J. Phys., 39, 337 (2009).
A. I. Akhiezer and R. V. Polovin, Sov. Phys. JETP, 3, 696 (1956).
D. Anderson, M. Bonnedal, and M. Lisak, J. Plasma Phys., 23, 115 (1980).
D. Anderson and M. Bonnedal, Phys. Fluids, 22, 105 (1979).
H. Kumar, M. Aggarwal, Richa, and T. S. Gill, J. Opt. Soc. Am. B, 35, 1635 (2018).
A. Sharma and I. Kourakis, Laser Part. Beams, 28, 479 (2010).
N. Gupta and S. Kumar, Laser Phys., 30, 066003 (2020).
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Gupta, N., Choudhry, S., Bhardwaj, S.B. et al. Relativistic Effects on Stimulated Brillouin Scattering of Self-Focused q-Gaussian Laser Beams in Plasmas with Axial Density Ramp. J Russ Laser Res 42, 418–429 (2021). https://doi.org/10.1007/s10946-021-09978-x
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DOI: https://doi.org/10.1007/s10946-021-09978-x