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Dynamics of q-Gaussian laser beam in thermal quantum plasma: self-focusing self-trapping and self-phase modulation

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Abstract

This paper presents theoretical investigation of propagation characteristics of q-Gaussian laser beam in thermal quantum plasmas. The field distribution in the medium is expressed in terms of beam width parameter f and the parameter q describing the deviation of intensity distribution of the laser beam from Gaussian distribution. Due to nonuniform irradiance along the wavefront of the laser beam and high field amplitude associated with it the laser beam gets self-focused. An appropriate nonlinear Schrodinger wave equation for the field of laser beam has been solved with the help of moment theory approach in W.K.B approximation. The behavior of beam width parameter f with distance of propagation for different laser-plasma parameters has been investigated. Self-phase modulation and self-trapping of the laser beam also have been investigated for variety of parameters.

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References

  1. T.H. Maiman, Stimulated optical radiation in Ruby. Nature 187, 493 (1960)

    Article  ADS  Google Scholar 

  2. M. Tabak, J. Hammer, M.E. Glinsky, W.L. Kruer, S.C. Wilks, J. Woodworth, E.M. Campbell, M.D. Perry, R.J. Mason, Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 1626 (1994)

    Article  ADS  Google Scholar 

  3. C. Deutsch, H. Furukawa, K. Mima, M. Murakami, K. Nishihara, Interaction physics of the fast ignitor concept. Phys. Rev. Lett. 77, 2483 (1996)

    Article  ADS  Google Scholar 

  4. Z.A. Kudyshev, M.C. Richardson, N.M. Litchinitser, Virtual hyperbolic metamaterials for manipulating radar signals in air. Nature Commun. 4, 2557 (2013)

    Article  ADS  Google Scholar 

  5. J. Kasparian, R. Ackermann, Y.B. Andr, G. Mchain, G. Mjean, B. Prade, P. Rohwetter, E. Salmon, K.K. Stelmaszczy, J. Yu, A. Mysyrowicz, R. Sauerbrey, L. Wste, J.P. Wolf, Electric events synchronized with laser filaments in thunderclouds. Opt. Express 16, 5757 (2008)

    Article  ADS  Google Scholar 

  6. P. Rohwetter, J. Kasparian, K. Stelmaszczyk, Z. Hao, S. Henin, N. Lascoux, W.M. Nakaema, Y. Petit, M. Queiber, R. Salam, E. Salmon, L. Wste, J.P. Wolf, Laser-induced water condensation in air. Nat. Photonics 4, 451 (2010)

    Article  ADS  Google Scholar 

  7. N. Gupta, S. Kumar, Terahertz generation by beating of two Q-Gaussian laser beams in plasma: effect of cross focusing. J. Appl. Spect. 90, 170 (2023)

    Article  ADS  Google Scholar 

  8. N. Gupt, S.B. Bhardwaj, Relativistic efects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave. Opt. Quant. Electron. 53, 700 (2021)

    Article  Google Scholar 

  9. P. Amendt, D.C. Eder, S.C. Wilks, X-ray lasing by optical-field-induced ionization. Phys. Rev. Lett. 66, 2589 (1991)

    Article  ADS  Google Scholar 

  10. N. Gupta, Kerr lensing and axial phase modulation of q-Gaussian laser beams in parabolic index glass fiber. Nonlinear Opt. Quant. Opt. 56, 63 (2022)

    Google Scholar 

  11. N. Gupta, S. Kumar, Self-focusing and self trapping of Cosh-Gaussian laser beam in thermal quantum plasmas. Nonlinear Opt. Quant. Opt. 56, 283 (2022)

    Google Scholar 

  12. N. Gupta, Self focusing and axial phase modulation of laser beams carrying orbital angular momentum in collisionless plasmas. Opt. Quant. Electron. 53, 608 (2021)

    Article  Google Scholar 

  13. N. Gupta, S. Kumar, Nonlinear interaction of elliptical q-Gaussian laser beams with plasmas with axial density ramp: effect of ponderomotive force. Opt. Quant. Electron. 53, 253 (2021)

    Article  Google Scholar 

  14. N. Gupta, S. Kumar, S. Choudhry, S.B. Bhardwaj, S. Kumar, Potential well dynamics of self focusing of quadruple gaussian laser beams in thermal quantum plasma. Nonlinear Opt. Quant. Opt. 55, 281 (2022)

    Google Scholar 

  15. N. Gupta, A. Singh, Second harmonic generation of self-focused Cosh-Gaussian laser beam in thermal quantum plasma by excitation of an electron plasma wave. Cont. to Plasma Phys. 56, 889 (2016)

    Article  ADS  Google Scholar 

  16. G.A. Askaryan, Effects of the gradient of strong electromagnetic beam on electrons and atoms. Soviet Phys. JETP 15(1088), 7 (1962)

    Google Scholar 

  17. N. Gupta, A. Singh, Effect of cross-focusing of two q-Gaussian laser beams on excitation of electron plasma wave in collisional plasma. Optik 127, 8542 (2016)

    Article  ADS  Google Scholar 

  18. N. Gupta, Second harmonic generation of q-Gaussian laser beam in plasma channel created by ignitor heater technique. Laser and Part. Beams 37, 184 (2019)

    Article  ADS  Google Scholar 

  19. N. Gupta, Non-linear interaction of a q-Gaussian laser beam in a plasma channel created by the ignitor-heater technique. Cont. to Plasma Phys. 9, 154–165 (2019)

    Article  ADS  Google Scholar 

  20. N. Gupta, A. Singh, Dynamics of quadruple laser beams in collisionless plasmas. Waves in Ran. and Comp. Med. 29, 1 (2019)

    Article  ADS  Google Scholar 

  21. ...P.K. Patel, M.H. Key, A.J. Mackinnon, R. Berry, M. Borghesi, D.M. Chambers, H. Chen, R. Clarke, C. Damian, R. Eagleton, R. Freeman, S. Glenzer, G. Gregori, R. Heathcote, D. Hey, N. Izumi, S. Kar, J. King, A. Nikroo, A. Niles, H.S. Park, J. Pasley, N. Patel, R. Shepherd, R.A. Snavely, D. Steinman, C. Stoeckl, M. Storm, W. Theobald, R. Town, R. Van Maren, S.C. Wilks, B. Zhang, Integrated laser-target interaction experiments on the RAL petawatt laser. Plasma Phys. Controlled Fusion 47, B833 (2005)

    Article  Google Scholar 

  22. ...M. Nakatsutsumi, J.R. Davies, R. Kodama, J.S. Green, K.L. Lancaster, K.U. Akli, F.N. Beg, S.N. Chen, D. Clark, R.R. Freeman, C.D. Gregory, H. Habara, R. Heathcote, D.S. Hey, K. Highbarger, P. Jaanimagi, M.H. Key, K. Krushelnick, T. Ma, A. MacPhee, A.J. MacKinnon, H. Nakamura, R.B. Stephens, M. Storm, M. Tampo, W. Theobald, L. Van Woerkom, R.L. Weber, M.S. Wei, N.C. Woolsey, P.A. Norreys, Space and time resolved measurements of the heating of solids to ten million kelvin by a petawatt laser. New J. Phys. 10, 043046 (2008)

    Article  Google Scholar 

  23. A.I. Akhiezer, R.V. Polovin, Theory of wave motion of an electron plasma. Sov. Phys. JETP 3, 696 (1956)

    MathSciNet  Google Scholar 

  24. J.F. Lam, B. Lippmann, F. Tappert, Moment theory of self-trapped laser beams with nonlinear saturation. Opt. Comm. 15, 419 (1975)

    Article  ADS  Google Scholar 

  25. J.F. Lam, B. Lippmann, F. Tappert, Self-trapped laser beams in plasma. Phys. Fluids 20, 1176 (1977)

    Article  ADS  Google Scholar 

  26. S.N. Vlasov, A.A. Petrischev, V.I. Talanov, Advanced description of wave beams in linear and nonlinear media (The method of moments). Sov. Radio Phys. Quant. Electron. 14, 1062 (1971)

    Article  ADS  Google Scholar 

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Gupta, N., Johari, R., Kumar, S. et al. Dynamics of q-Gaussian laser beam in thermal quantum plasma: self-focusing self-trapping and self-phase modulation. J Opt (2024). https://doi.org/10.1007/s12596-024-01787-0

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