Self-Focusing of Gaussian Laser Beam in Unmagnetized Plasma Described by Kappa Distribution
- Department of Physics, Devchand College, Arjunnagar 591 237, Maharashtra, India
- Department of Physics, Shivaji University, Kolhapur 416 004, Maharashtra, India
Received: 2025-09-28
Revised: 2025-10-15
Accepted: 2025-11-05
Published in Issue 2026-02-28
Published Online: 2025-12-06
Copyright (c) 2026 Prajakta P. Shinde, Prajakta P. Patil, Mansing V. Takale, Sandip D. Patil (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
Empirical kappa distributions have become increasingly widespread across space and plasma physics. In the present paper, logical straightforward extension of dielectric function of plasma described by Kappa parameter is employed to study the interaction of Gaussian laser beam with plasma. The nonlinear differential equation describing evolution of beam-width parameter is established by using parabolic wave equation approach under WKB and paraxial approximations. The effects of Kappa parameter and ratio of the thermal velocity of plasma electrons to the velocity of light on the propagation dynamics of Gaussian laser beam in non-Maxwellian plasma are specifically inspected. It is shown that the larger Kappa parameter and thermal velocity of electrons become more significant for stronger self-focusing of Gaussian beam in plasma. This enables the need of more exploration of physical mechanisms involved in the field of interaction of lasers with non-Maxwellian plasma.
Keywords
- Gaussian beam,
- Self-focusing,
- Kappa distribution,
- Non-Maxwellian plasma,
- Paraxial
References
- S.A. Akhmanov, A.P. Sukhorukov, R.V. Khokhlov, Self-focusing and diffraction of light in a nonlinear medium, Sov. Phys. Usp. 10 (1968) 609-636
- O. Svelto, Self-focusing, self-trapping and self-phase modulation of laser beams, Prog. Opt. 12 (1974) 1-51
- M.S. Sodha, A.K. Ghatak, V.K. Tripathi, Self-Focusing of Laser Beams in Dielectrics, Plasmas and semiconductors, Tata McGraw-Hill, New Delhi (1974)
- R. W. Boyd, S.G. Lukishova, Y.R. Shen, Self-focusing: Past and Present: Fundamentals and Prospects, Springer, New York (2009).
- E. Dzifcakova, Electron excitation rates in the solar corona for non-Maxwellian electron distributions, Solar Phys. 196 (2000) 113-127
- K. Arshad, Z. Ehsan, S.A. Khan, S. Mahmood, Solar wind driven dust acoustic instability with Lorentzian kappa distribution, Phys. Plasmas 21 (2014) 023704
- Y.E. Litvinenko, Power-law spectra of energetic electrons in solar flares from the maximum entropy and dimensional considerations, Adv. Space Res. 63 (2019) 1466-1471
- S. Chandra, M.K. Sharma, Application of generalized Lorentzian (kappa) distribution function in propagation of electron cyclotron waves in magnetospheric plasma of an outer planet, Optik 207 (2020) 164387
- V. Pierrard, M. Lazar, Kappa Distributions: Theory and applications in space plasmas, Sol. Phys. 267 (2010) 153-174
- N. Firouzi-Farrashbandi, M. Eslami-Kalantari, A. Sid, Laser-magnetized plasma interaction: inverse bremsstrahlung absorption with non-Maxwellian electrons, J. Theor. Appl. Phys. 18 (2024) 6
- M.A. Hellberg, R.L. Mace, Generalized plasma dispersion function for a plasma with a Kappa-Maxwellian velocity distribution, Phys. Plasmas 9 (2002) 1495-1504
- L.-N. Hau, W.-Z. Fu, Mathematical and physical aspects of Kappa velocity distribution, Phys. Plasmas 14 (2007) 110702
- H.K. Malik, Laser-Matter Interaction for Radiation and Energy, CRC Press, New York (2021).
- L. Devi, H.K. Malik, Role of magnetic field on self focusing of super-Gaussian laser beam under relativistic effect, Optik. 207 (2020) 164439
- M.E. Abari, M. Sedaghat, M.T. Hosseinnejad, Self-focusing of a high-intensity laser pulse by a magnetized plasma lens in sub-relativistic regime, J. Theor. Appl. Phys. 11 (2017) 2
- S.D. Patil, M.V. Takale, Stationary self-focusing of Gaussian laser beam in relativistic thermal quantum plasma, Phys. Plasmas 20 (2013) 072703.
- N.S. Rathore, P. Kumar, Ponderomotive self-focusing of linearly polarized laser beam in magnetized quantum plasma, Laser Part. Beams 34 (2016) 764-771.
- M. Aggarwal, H. Kumar, N. Kant, Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp, Optik 127 (2016) 2212-2216
- V. Nanda, H.S. Ghotra, N. Kant, Early and strong relativistic self-focusing of cosh-Gaussian laser beam in cold quantum plasma, Optik 156 (2018) 191-196
- G. Livadiotis, Kappa distributions: Thermodynamic origin and generation in space plasmas, J. Phys. Conf. Ser. 1100 (2018) 012017
- J. Espinoza-Troni, F.A. Asenjo, P.S. Moya, Ponderomotive forces due to electron modes in unmagnetized plasmas described by kappa distribution functions, Plasma Phys. Control. Fusion 65 (2023) 065008
- T. Toncian, C. Wang, E. McCary, A. Meadows, A.V. Arefiev, J. Blakeney, K. Serratto, D. Kuk, C. Chester, R. Roycroft, L. Gao, H. Fu, X.Q. Yan, J. Schreiber, I. Pomerantz, A. Bernstein, H. Quevedo, G. Dyer, T. Ditmire, B.M. Hegelich, Non-Maxwellian electron distributions resulting from direct laser acceleration in near-critical plasmas, Matter Radiat. Extremes 1 (2016) 82-87
- N.S. Javan, Self-focusing of circularly polarized laser pulse propagating through a magnetized non-Maxwellian plasma, Phys. Plasmas 21 (2014) 103103
- M. Abedi-Varaki, The effect of the wiggler magnetic field strength on the self-focusing of an intense laser pulse propagating through a magnetized non-Maxwellian plasma, Phys. Plasmas 24 (2017) 122308
- D. Asgharnejad, T. Mohsenpour, S. Mirzanejhad, Nonlinear self-focusing of an intense laser beam in non-Maxwellian plasma with a non-uniform magnetic field, Chin. J. Phys. 76 (2022) 237
- L. Devi, H.K. Malik, On validity of paraxial theory for super-Gaussian laser beams propagating in a plasma, J. Theor. Appl. Phys. 11 (2017) 165-170
- L.-N. Hau, W.-Z. Fu, S.-H. Chuang, Response to “Comment on ‘Mathematical and physical aspects of Kappa velocity distribution’” [Phys. Plasmas 16, 094701 (2009)], Phys. Plasmas 16 (2009) 094702
- A. Sharma, I. Kourakis, Relativistic laser pulse compression in plasmas with a linear axial density gradient, Plasma Phys. Control. Fusion 52 (2010) 065002
- A. Singh, M. Aggarwal, T.S. Gill, Dynamics of Gaussian spikes on Gaussian laser beam in relativistic plasma, Laser Part. Beams 27 (2009) 587-593
10.57647/jtap.2026.2001.02
