Hostname: page-component-7479d7b7d-qs9v7 Total loading time: 0 Render date: 2024-07-12T12:57:30.691Z Has data issue: false hasContentIssue false
  • English
  • Français

Excitation of nonlinear ion acoustic wave and stimulated Brillouin scattering of hollow Gaussian beam in relativistic plasma

Published online by Cambridge University Press:  07 March 2017

P. Sharma
P. Sharma*
Affiliation:
Physics department, Ujjain Engineering College, Ujjain 456010, MP, India
*
Address correspondence and reprint requests to: P. Sharma, Physics department, Ujjain Engineering College, Ujjain 456010, MP, India. E-mail: preranaiitd@rediffmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

In the present work, excitation of nonlinear ion acoustic wave (IAW) in collisionless plasma by laser beam having null intensity at the center is examined considering relativistic nonlinearity. The differential equation for beam-width parameter is determined considering relativistic nonlinearity using the paraxial and Wentzel–Kramers–Brillouin approximations by the parabolic equation method. The propagation features of the IAW are found to be modified due to the nonlinearity present in the system. The hollow Gaussian beam (HGB) gets nonlinearly coupled with the seed IAW, results in excitation of nonlinear IAW. The interaction of nonlinear IAW with pump beam demonstrated stimulated Brillouin scattering (SBS) of HGB. It is found that the power of IAW and power of SBS is affected with the order of HGB. The power of IAW and backscattered power of SBS is determined analytically and numerically for various orders of HGB. It is found that the power of IAW and the backscattering is diminished for higher order of HGB.

Keywords

Brillouin scatteringhollow Gaussian beamnonlinear ion acoustic waverelativistic nonlinearity
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 2 , June 2017 , pp. 226 - 233
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Ashkin, A. (1997). Optical trapping and manipulation of neutral particles using lasers. Proc. Natl. Acad. Sci. USA 94, 4853–4860.Google Scholar
Cai, Y. & Lin, Q. (2004). Hollow elliptical Gaussian beam and its propagation through aligned and misaligned paraxial optical systems. J. Opt. Soc. Am. A 21, 1058–1065.Google Scholar
Chauhan, P.K., Purohit, G. & Sharma, R.P. (2010). Filamentation of laser beams and excitation of ion acoustic wave in non-paraxial region. J. Phys. 208, 012094.Google Scholar
Cornolti, F., Lucchesi, M. & Zambon, B. (1990). Elliptic Gaussian beam self-focusing in nonlinear media. Opt. Com. 75, 129–135.Google Scholar
Edwards, M.R., Jia, Q., Mikhailova, J.M. & Fisch, N.J. (2016). Short-pulse amplification by strongly coupled stimulated Brillouin scattering. Phys. Plasmas 23, 083122 (1-14).Google Scholar
Fibich, G. (2007). Some modern aspects of self-focusing theory. In Self-Focusing: Past and Present: Fundamentals and Prospects (Boyd, R.W., Lukishova, S.G. & Shen, Y.R. eds.), pp. 418–421, New York: Springer Verlag.Google Scholar
Feng, Q.S., Zheng, C.Y., Liu, Z.J., Xiao, C.Z., Wang, Q. & He, X.T. (2016). Excitation of nonlinear ion acoustic waves in CH plasmas. Phys. Plasmas 23, 082106 (1–10).CrossRefGoogle Scholar
Froula, D.H., Divol, L., Berger, R.L., Cohen, B.I., Williams, E.A., Langdon, A.B., Lasinski, B.F. & Glenzer, S.H. (2003). Modeling the nonlinear saturation of stimulated Brillouin backscatter in laser heated plasmas. Phys. Plasmas 10, 1822.Google Scholar
Gill, T.S., Mahajan, R. & Kaur, R. (2010). Relativistic and ponderomotive effects on evolution of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 28, 521–529.Google Scholar
Hussain, S., Singh, R.K. & Sharma, R.P. (2015). Strong terahertz field generation by relativistic self-focusing of hollow Gaussian laser beam in magnetoplasma. Laser Part. Beams 34, 86–93.CrossRefGoogle Scholar
Johannisson, P., Anderson, D., Lisak, M. & Marklund, M. (2003). Nonlinear Bessel beams. Opt. Commun. 222, 107–115.Google Scholar
Kong, H.J., Yoon, J.W., Beak, D.H., Shin, J.S., Lee, S.K. & Lee, D.W. (2007). Laser fusion driver using stimulated Brillouin scattering phase conjugate mirrors by a self-density modulation. Laser Part. Beams 25, 1–14.Google Scholar
Lu, X., Wei, C., Liu, L., Wu, G., Wang, F. & Cai, Y. (2014). Experimental study of the fractional Fourier transform for a hollow Gaussian beam. Opt. Laser Technol. 56, 92–98.CrossRefGoogle Scholar
Mahmoud, S.T. & Sharma, R.P. (2001). Relativistic self-focusing and its effect on stimulated Raman and stimulated Brillouin scattering in laser plasma interaction. Phys. Plasmas 8, 3419–3426.Google Scholar
Malik, M., Sharma, R.P. & Singh, H.D. (2007). Ion-acoustic wave generation by two kinetic Alfvén waves and particle heating. Sol. Phys. 241, 317–328.CrossRefGoogle Scholar
Misra, S. & Mishra, S.K. (2009). Focusing of dark hollow Gaussian electromagnetic beams in a plasma with relativistic-ponderomotive regime. Progr. Electromagn. Res. B 16, 291–309.Google Scholar
Ping, Y.J., Jian, G.W., Feng, W.H., Quan, L. & Zhu, W.Y. (2002). Generations of dark hollow beams and their applications in laser cooling of atoms and all optical-type Bose–Einstein condensation. Chin. Phys. 11, 1157–1171.Google Scholar
Pottelette, R. & Illiano, J.M. (1982). Excitation of ion acoustic waves by a slow ion beam. Phys. Lett. A 91, 351–354.Google Scholar
Purohit, G., Rawat, P. & Gauniyal, R. (2016). Second harmonic generation by self-focusing of intense hollow Gaussian laser beam in collisionless plasma. Phys. Plasmas 23, 013103.Google Scholar
Salimullah, M. (1981). Excitation of ion acoustic waves at the difference frequency of two microwave beams in a semiconductor. Phys. Lett. A 81, 522.Google Scholar
Sharma, P. (2015). Stimulated Raman scattering of ultra intense hollow Gaussian beam in relativistic plasma. Laser Part. Beams 33, 489–498.CrossRefGoogle Scholar
Sharma, R.P. & Singh, R.K. (2013). Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 689–696.Google Scholar
Shoucri, M. (2016). Numerical simulation of Raman and Brillouin laser-pulse amplification in a magnetized plasma. Laser Part. Beams 34, 315–337.Google Scholar
Singh, A. & Gupta, N. (2016). Second-harmonic generation by relativistic self-focusing of cosh-Gaussian laser beam in underdense plasma. Laser Part. Beams 34, 1–10.Google Scholar
Singh, R.K. & Sharma, R.P. (2013). Stimulated Raman backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 387–394.Google Scholar
Sodha, M., Salimullah, M. & Sharma, R.P. (1980). Generation of an ion-acoustic pulse by two electromagnetic pulses at difference frequencies in a collisionless plasma. Phys. Rev. 21, 1708.Google Scholar
Sodha, M., Umesh, G. & Sharma, R.P. (1979). Excitation of ion-acoustic waves by two Gaussian laser beams. J. Phys. D 12, 71.Google Scholar
Sodha, M.S., Misra, S.K. & Misra, S. (2009 a). Focusing of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 27, 57–68.Google Scholar
Sodha, M.S., Misra, S.K. & Misra, S. (2009 b). Focusing of a dark hollow Gaussian electromagnetic beam in a magnetoplasma. J. Plasma Phys. 75, 731–748.CrossRefGoogle Scholar
Sodha, M.S., Singh, T., Singh, D.P. & Sharma, R.P. (1981). Excitation of an ion-acoustic wave by two whistlers in a collisionless magnetoplasma. J. Plasma Phys. 25, 255–265.Google Scholar
Tsytovich, V.N., Stenflo, L., Wilhelmsson, H., Gustavsson, H. & Ostberg, K. (1973). One-dimensional Model for Nonlinear Reflection of Laser Radiation by an Inhomogeneous Plasma Layer. Phys. Scr. 7, 241.Google Scholar
Vyas, A., Singh, R.K. & Sharma, R.P. (2014). Study of coexisting stimulated Raman and Brillouin scattering at relativistic laser power. Laser Part. Beams 32, 657–663.Google Scholar
Wang, Y., Zhu, X., Lu, Z. & Zhang, H. (2015). Self-pumped SBS effect of high-power super-Gaussian-shaped laser pulses. Laser Part. Beams 34, 72–79.Google Scholar
Willett, J.E. (1982). Excitation of an ion-acoustic wave by two whistlers. Phys. Lett. A 90, 45.CrossRefGoogle Scholar