Abstract
Dynamics of the laser-driven ion acoustic waves (IAWs) in plasmas with axial density ramp has been investigated theoretically. The effect of self-focusing of the laser beam on the power of laser excited IAW has been incorporated. During its propagation through the plasma, the laser beam excites an IAW at frequency \(\omega_{{\rm ia}}\) that due to the optical nonlinearity of plasma gets nonlinearly coupled to the laser beam. Using variational theory, semianalytical solutions of the coupled nonlinear wave equations for the pump wave and IAW have been obtained under W.K.B approximation technique. It has been observed that power of the IAW is significantly affected by the self-focusing effect of pump beam.
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V.N. Tsytovich, G.E. Morfill, H. Thomas, Complex plasmas: I. Complex plasmas as unusual state of matter. Plasma Phys. Rep. 28, 623 (2002)
I. Bishop, S. Xian, S. Feller, Robert A. Millikan and the oil drop experiment. Phys. Teach. 57, 442 (2019)
M. Tabak, J. Hammer, M.E. Glinsky, W.L. Kruer, S.C. Wilks, J. Woodworth, E.M. Campbell, M.D. Perry, Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 1626 (1994)
H. Hora, New aspects for fusion energy using inertial confinement. Laser Part. Beams 25, 37 (2007)
K.A. Brueckner, S. Jorna, Laser-driven fusion. Rev. Mod. Phys. 46, 325 (1974)
M. Moyer, Fusion’s false dawn. Sci. Am. 302, 50 (2010)
A.R. Kantrowitz, T.R. Brogan, R.J. Rosa, J.F. Louis, The magnetohydrodynamic power generator-basic principles, state of the art, and areas of application. IRE Trans. Milit. Electron. 6, 78 (1962)
A. Singh, N. Gupta, Beat wave excitation of electron plasma wave by relativistic cross focusing of cosh-Gaussian laser beams in plasma. Phys. Plasmas 22, 062115 (2015)
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)
L. Friedland, A.G. Shagalov, Extreme driven ion acoustic waves featured. Phys. Plasmas 24, 082106 (2017)
B. Song, N.D. Angelo, R.L. Merlino, Ion-acoustic waves in a plasma with negative ions. Phys. Fluids B 3, 284 (1991)
D. Vech, D.M. Malaspina, C. Cattell, S.J. Schwartz, R.E. Ergun, K.G. Klein, L. Kromyda, A. Chasapis, Experimental determination of ion acoustic wave dispersion relation with interferometric analysis. J. Geophys. Res. Space Phys. 126, 029221 (2021)
S. Hüller, Stimulated Brillouin scattering off nonlinear ion acoustic waves. Phys. Fluids B 3, 3317 (1991)
N. Gupta, S. Choudhry, S.B. Bhardwaj, S. Kumar, S. Kumar, 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 (2021)
N. Hershkowitz, Y.C. Ghim, Probing plasmas with ion acoustic waves. Plasma Sources Sci. Technol. 18, 014018 (2009)
L. Tonks, I. Langmuir, Oscillations in ionized gases. Phys. Rev. 33, 195 (1929)
R.W. Revans, The transmissions of waves through an ionized gas. Phys. Rev. 44, 798 (1933)
N.S. Suryanarayana, J. Kaur, A. Dubey, Study of propagation of ion acoustic waves in argon plasma. J. Mod. Phys. 1, 281 (2010)
N. Chakrabarti, M.S. Janaki, Nonlinear evolution of ion-acoustic waves in unmagnetized plasma. Phys. Lett. A 305, 393 (2002)
N.S. Saini, T.S. Gill, Effect of rippled laser beam on excitation of ion acoustic wave. Pramana 55, 803 (2000)
S. Depierreux, J. Fuchs, C. Labaune, A. Michard, H.A. Baldis, D. Pesme, S. Huller, G. Laval, First observation of ion acoustic waves produced by the Langmuir decay instability. Phys. Rev. Lett. 84, 2869 (2000)
S. Depierreux, C. Labaune, J. Fuchs, D. Pesme, V.T. Tikhonchuk, H.A. Baldis, Langmuir decay instability cascade in laser-plasma experiments. Phys. Rev. Lett. 89, 045001 (2002)
T. Umedaa, T. Ito, Vlasov simulation of Langmuir decay instability. Phys. Plasmas 15, 084503 (2008)
H. Kumar, M. Aggarwal, Richa, T.S. Gill, Self-focusing of an elliptic-Gaussian laser beam in relativistic ponderomotive plasma using a ramp density profile. J. Opt. Soc. of Am. B 35, 1635 (2018)
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)
N. Gupta, S. Kumar, Generation of second harmonics of relativistically self-focused q-Gaussian laser beams in underdense plasma with axial density ramp. Opt. Quant. Electron. 53, 193 (2021)
A.I. Akhiezer, R.V. Polovin, Theory of wave motion of an electron plasma. Sov. Phys. JETP 3, 696 (1956)
D. Anderson, M. Bonnedal, M. Lisak, Nonlinear propagation of elliptically shaped Gaussian laser beams. J. Plasma Phys. 23, 115 (1980)
A.A. Balakin, A.G. Litvak, V.A. Mironov, S.A. Skobelev, Self-compression of soliton-like laser pulses in the process of self-focusing. J. Opt. 19, 095503 (2017)
A. Pukhov, J. Meyer-ter-vehn, Relativistic magnetic self-channeling of light in near-critical plasma: three-dimensional particle-in-cell simulation. Phys. Rev. Lett. 76, 3975 (1996)
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Gupta, N., Choudhry, S., Bhardwaj, S.B. et al. Excitation of ion acoustic waves by self-focused q-Gaussian laser beam in plasma with axial density ramp. J Opt 52, 269–280 (2023). https://doi.org/10.1007/s12596-022-00873-5
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DOI: https://doi.org/10.1007/s12596-022-00873-5