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

  • Rakhi Gauniyal (a1), Prashant Chauhan (a2), Priyanka Rawat (a3) and Gunjan Purohit (a3)

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.

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Corresponding author

Address correspondence and reprint requests to: Gunjan Purohit, Department of Physics, DAV (PG) College, Dehradun, Uttarakhand-248001, India. E-mail: gunjan75@gmail.com

References

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Abbi, S.C. & Mahr, H. (1971). Correlation of filaments in nitrobenzene with laser spikes. Phys. Rev. Lett. 26, 604606.
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, 32423245.
Akhmanov, A.S., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Soviet. Phys. Usp. 10, 609636.
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, 58305844.
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, 35393550.
Chakrabarti, N. & Janaki, M.S. (2002). Nonlinear evolution of ion-acoustic waves in unmagnetized plasma. Phys. Lett. A. 305, 393398.
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, 28692872.
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.
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, 157165.
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, 37283732.
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, 10381046.
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.
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.
Kaw, P.K., Schmidt, G. & Wilcox, T. (1973). Filamentation and trapping of electromagnetic radiation in plasmas. Phys. Fluids 16, 15221525.
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, 185190.
Krall, N.A. & Trivelpiece, A.W. (1973). Principle of Plasma Physics. Tokyo: McGraw Hill-Kogakusha.
Kruer, W.L. (1988). The Physics of Laser Plasma Interaction. New York: Addison-Wesley.
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, 423427.
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, 339491.
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, 927931.
Nakamura, Y., Bailung, H. & Shukla, P.K. (1999). Observation of ion-acoustic shocks in a dusty plasma. Phys. Rev. Lett. 83, 16021605.
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, 2540.
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, 6977.
Revans, R.W. (1933). The transmissions of waves through an ionized gas. Phys. Rev. 44, 798802.
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.
Saini, N.S. & Gill, T.S. (2000). Effect of rippled laser beam on excitation of ion acoustic wave. Pramana 55, 803811.
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, 619627.
Sharma, R.P. & Singh, R.K. (2013). Stimulated Brillouin backscattering of filamented hollow Gaussian beams. Laser Part. Beams 31, 689696.
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, 175182.
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Self focusing of laser beams in plasmas and semiconductors. Prog. Opt. E 3, 169265.
Sodha, M.S., Umesh, G. & Sharma, R.P. (1979). Enhanced Brillouin scattering of a Gaussian laser beam from a plasma. J. Appl. Phy. 50, 46784683.
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, 914919.
Stix, T.H. (1992). Waves in Plasmas. New York: AIP.
Suryanarayana, N.S., Kaur, J. & Dubey, A. (2010). Study of propagation of ion acoustic waves in argon plasma. J. Mod. Phys. 1, 281289.
Tonks, L. & Langmuir, I. (1929). Oscillations in ionized gases. Phys. Rev. 33, 195210.
Umedaa, T. & Ito, T. (2008). Vlasov simulation of Langmuir decay instability. Phys. Plasmas 15, 084503/4.
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, 297302.
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, 231244.
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, 29942997.
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, 23362339.

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