Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-17T14:52:37.672Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of self-focused rippled laser beam on the excitation of ion acoustic wave in relativistic ponderomotive regime

Published online by Cambridge University Press:  08 September 2014

Rakhi Gauniyal ,
Prashant Chauhan ,
Priyanka Rawat  and
Gunjan Purohit
Rakhi Gauniyal
Affiliation:
Uttarakhand Technical University (UTU) Dehradun, Uttarakhand, India
Prashant Chauhan
Affiliation:
Department of Physics and Material Science & Engineering, Jaypee Institute of Information Technology, Uttar Pradesh, India
Priyanka Rawat
Affiliation:
Department of Physics, DAV (PG) College, Dehradun, Uttarakhand, India
Gunjan Purohit*
Affiliation:
Department of Physics, DAV (PG) College, Dehradun, Uttarakhand, India
*
Address correspondence and reprint requests to: Gunjan Purohit, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India. E-mail: gunjan75@gmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents an investigation of self-focusing of intense Gaussian rippled laser beam in collisionless plasma by including the nonlinearity associated with the relativistic mass and the ponderomotive force and its effects on the excitation of ion acoustic wave. The growth of ripple, riding on an intense Gaussian laser beam in plasma and its coupling with ion acoustic wave has also been studied. Modified coupled equations for main laser beam, growth of laser ripple in plasma, rippled laser beam, beam width, and density perturbation associated with ion acoustic wave are derived using Wentzel-Kramers-Brillouin and paraxial ray approximation. These coupled equations are solved analytically and numerically to study the laser intensity in plasma and the variation of amplitude of the ion acoustic wave for various established laser and plasma parameters. From numerical computation, it is observed that both nonlinearities significantly affected the dynamics of the growth of laser ripple in plasma, propagation of rippled laser beam as well as ion acoustic wave in plasma at high laser power flux. The growth of laser ripple increase with increase in the intensity of laser beam and due to the contribution of growth rate, intensity profile of rippled laser beam and ion acoustic wave modified accordingly.

Keywords

Laser plasma interactionLaser rippleRelativistic-ponderomotive nonlinearityIon acoustic wave
Type
Research Article
Information
Laser and Particle Beams , Volume 32 , Issue 4 , December 2014 , pp. 557 - 568
Copyright
Copyright © Cambridge University Press 2014 

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

Abbi, S.C. & Mahr, H. (1971). Correlation of filaments in nitrobenzene with laser spikes. Phys. Rev. Lett. 26, 604–606.Google Scholar
Afshar-Rad, T., Gizzi, L.A., Desselberger, M. & Willi, O. (1996). Effect of filamentation of Brillouin scattering in large underdense plasmas irradiated by incoherent laser light. Phy. Rev. Lett. 76, 3242–3245.Google Scholar
Akhmanov, A.S., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Soviet. Phys. Usp. 10, 609–636.CrossRefGoogle Scholar
Borisov, A.B., Borovisiky, A.V., Shiryaev, O.B., Korobkin, V.V., Prokhorov, A.M., Solem, J.C., Luk, T.S., Boyer, K. & Rhodes, C.K. (1992). Relativistic and charge displacement self channelling of intense ultrashort laser pulses in plasmas. Phys. Rev. A 45, 5830–5844.Google Scholar
Brandi, H.S., Manus, C., Mainfray, G., Lehner, T. & Bonnaud, G. (1993). Relativistic and ponderomotive self focusing of a laser beam in radially inhomogeneous plasma-I: Paraxial approximation. Phys. Fluids 5, 3539–3550.Google Scholar
Chakrabarti, N. & Janaki, M.S. (2002). Nonlinear evolution of ion-acoustic waves in unmagnetized plasma. Phys. Lett. A. 305, 393–398.Google Scholar
Depierreux, S., Fuchs, J., Labaune, C., Michard, A., Baldis, H.A., Pesme, D., Huller, S. & Laval, G. (2000). First observation of ion acoustic waves produced by the Langmuir decay instability. Phys. Rev. Lett. 84, 2869–2872.Google Scholar
Depierreux, S., Labaune, C., Fuchs, J., Pesme, D., Tikhonchuk, V.T. & Baldis, H.A. (2002). Langmuir decay instability cascade in laser-plasma experiments. Phys. Rev. Lett. 89, 045001/4.Google Scholar
Deutsch, C., Bret, A., Firpo, M.C., Gremillet, L., Lefebrave, E. & Lifschitz, A. (2008). Onset of coherent electromagnetic structures in the relativistic electron beam deuterium–tritium fuel interaction of fast ignition concern. Laser Part. Beams 26, 157–165.CrossRefGoogle Scholar
Divol, L., Cohen, B.I., Williams, E.A., Langdon, A.B. & Lasinski, B.F. (2003). Nonlinear saturation of stimulated Brillouin scattering for long time scales. Phys. Plasmas 10, 3728–3732.Google Scholar
Giulietti, A., Macchi, A., Schifano, E., Biancalana, V., Danson, C., Giulietti, D., Gizzi, L.A. & Willi, O. (1999). Stimulated Brillouin backscattering from underdense expanding plasmas in a regime of strong filamentation. Phy. Rev. E 59, 1038–1046.Google Scholar
Gupta, M.K., Sharma, R.P. & Gupta, V.L. (2005). Cross focusing of two laser beams and plasma wave excitation. Phys. Plasmas 12, 1231011/7.Google Scholar
Huller, S., Masson-Laborde, P.E., Pesme, D., Labaune, C. & Bandulet, H. (2008). Modelling of stimulated Brillouin scattering in expanding plasma. J. Phys.: Conf. Ser. 112, 022031/4.Google Scholar
Kaw, P.K., Schmidt, G. & Wilcox, T. (1973). Filamentation and trapping of electromagnetic radiation in plasmas. Phys. Fluids 16, 1522–1525.CrossRefGoogle Scholar
Kline, J.L., Montgomery, D.S., Rousseaux, C., Baton, S.D., Tassin, V., Hardin, R.A., Flippo, K.A., Johnson, R.P., Shimada, T., Yin, L., Albright, B.J., Rose, H.A. & Amiranoff, F. (2009). Investigation of stimulated Raman scattering using a short-pulse diffraction limited laser beam near the instability threshold. Laser Part. Beams 27, 185–190.Google Scholar
Krall, N.A. & Trivelpiece, A.W. (1973). Principle of Plasma Physics. Tokyo: McGraw Hill-Kogakusha.Google Scholar
Kruer, W.L. (1988). The Physics of Laser Plasma Interaction. New York: Addison-Wesley.Google Scholar
Labaune, C., Baldis, H.A., Renard, N., Schifano, E. & Michard, A. (1997). Interplay between ion acoustic waves and electron plasma waves associated with stimulated Brillouin and Raman scattering. Phy. Plasmas 4, 423–427.CrossRefGoogle Scholar
Lindl, J.D., Amendt, P., Berger, R.L., Glendinning, S.G., Glenzer, S.H., Haan, S.W., Auffman, R.L., Landen, O.L. & Suter, L.J. (2004). The physics basis for ignition using indirect-drive targets on the National Ignition Facility. Phys. Plasmas 11, 339–491.Google Scholar
Mahmoud, S.T., Sharma, R.P., Kumar, A. & Yadav, S. (1999). Effect of pump depletion and self-focusing on stimulated Brillouin scattering process in laser-plasma interactions. Phys. Plasmas 6, 927–931.Google Scholar
Nakamura, Y., Bailung, H. & Shukla, P.K. (1999). Observation of ion-acoustic shocks in a dusty plasma. Phys. Rev. Lett. 83, 1602–1605.Google Scholar
Purohit, G., Pandey, H.D., Mahmoud, S. & Sharma, R.P. (2004). Growth of high power laser ripple in plasma and its effect on plasma wave excitation: relativistic effects. J. Plasma Phys. 70, 25–40.Google Scholar
Purohit, G., Chauhan, P.K., Sharma, R.P. & Pandey, H.D. (2005). Effect of relativistic mutual interaction of two laser beams on growth of laser ripple in a plasma. Laser Part. Beams 23, 69–77.Google Scholar
Revans, R.W. (1933). The transmissions of waves through an ionized gas. Phys. Rev. 44, 798–802.Google Scholar
Riconda, C., Heron, A., Pesme, D., Huller, S., Tikhonchuk, V.T. & Detering, F. (2005). Electron and ion kinetic effects in the saturation of a driven ion acoustic wave. Phys. Plasmas 12, 112308/13.Google Scholar
Saini, N.S. & Gill, T.S. (2000). Effect of rippled laser beam on excitation of ion acoustic wave. Pramana 55, 803–811.Google Scholar
Sharma, R.P., Sharma, P., Rajput, S. & Bhardwaj, A.K. (2009). Suppression of stimulated Brillouin scattering in laser beam hot spots. Laser Part. Beams 27, 619–627.Google Scholar
Sharma, R.P. & Singh, R.K. (2013). Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 689–696.Google Scholar
Singh, A. & Walia, K. (2012). Self-focusing of Gaussian laser beam in collisionless plasma and its effect on stimulated Brillouin scattering process. Opt. Commun. 290, 175–182.Google Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Self focusing of laser beams in plasmas and semiconductors. Prog. Opt. E 3, 169–265.Google Scholar
Sodha, M.S., Umesh, G. & Sharma, R.P. (1979). Enhanced Brillouin scattering of a Gaussian laser beam from a plasma. J. Appl. Phy. 50, 4678–4683.Google Scholar
Sodha, M.S., Singh, T., Singh, D.P. & Sharma, R.P. (1981). Growth of laser ripple in a plasma and its effect on plasma wave excitation. Phys. Fluids 24, 914–919.Google Scholar
Stix, T.H. (1992). Waves in Plasmas. New York: AIP.Google Scholar
Suryanarayana, N.S., Kaur, J. & Dubey, A. (2010). Study of propagation of ion acoustic waves in argon plasma. J. Mod. Phys. 1, 281–289.Google Scholar
Tonks, L. & Langmuir, I. (1929). Oscillations in ionized gases. Phys. Rev. 33, 195–210.Google Scholar
Umedaa, T. & Ito, T. (2008). Vlasov simulation of Langmuir decay instability. Phys. Plasmas 15, 084503/4.Google Scholar
Wang, Y.L., Lu, Z.W., He, W.M., Zheng, Z.X. & Zhao, Y.H. (2009). A new measurement of stimulated Brillouin scattering phase conjugation fidelity for high pump energies. Laser Part. Beams 27, 297–302.Google Scholar
Williams, E.A., Cohen, B.I., Divol, L., Dorr, M.R., Hittinger, J.A., Hinkel, D.E., Langdon, A.B., Kirkwood, R.K., Froula, D.H. & Glenzer, S.H. (2004). Effects of ion trapping on crossed-laser-beam stimulated Brillouin scattering, Phy. Plasmas 11, 231–244.Google Scholar
Wilks, S., Young, P.E., Hammer, J., Tabak, M. & Kruer, W.L. (1994). Spreading of intense laser beams due to filamentation. Phy. Rev. Lett. 73, 2994–2997.Google Scholar
Young, P.E., Baldis, H.A., Drake, R.P., Campbell, E.M. & Estrabrook, K.G. (1988). Direct evidence of ponderomotive Filamentation in laser-produced plasma. Phys. Rev. Lett. 61, 2336–2339.Google Scholar