Skip to main content

Nonlinear Propagation of Gaussian Laser Beam in an Axially Magnetized Cold Quantum Plasma

  • 539 Accesses

Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

The evolution of self-focusing of Gaussian laser beam in underdense magnetized cold quantum plasma has been studied under parabolic equation approach. We have established beam-width parameter differential equation of Gaussian laser beam using WKB and paraxial approximations. This equation is solved numerically. The results are presented graphically by considering applied magnetic field along (forward) as well as opposite (reverse) to the axis of propagation of laser. It is seen that, the forward magnetization increase the self-focusing effect as compared to the reverse magnetization. In addition, quantum effects enhance the self-focusing behaviour of laser.

Keywords

  • Gaussian beam
  • Self-focusing
  • Plasma
  • Magnetized
  • Quantum

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-99792-2_13
  • Chapter length: 6 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   219.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-99792-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book
USD   279.99
Price excludes VAT (USA)
Fig. 1
Fig. 2
Fig. 3
Fig. 4

References

  1. Lalousis, P., Foldes, I.B., Hora, H.: Ultrahigh acceleration of plasma by picosecond terawatt laser pulses for fast ignition of fusion. Laser Part. Beams 30, 233–242 (2012)

    Google Scholar 

  2. Askari, H.R., Azish, Z.: Effect of a periodic magnetic field on phase matching condition in second harmonic generation at interactions of laser-plasma. Optik 122, 1159 (2011)

    CrossRef  ADS  Google Scholar 

  3. Lemoff, B.E., Yin, G.Y., Gordon, C.L., Barthy, C.P.J., Harris, S.E.: Demonstration of a 10-Hz femtosecond-pulse-driven XUV laser at 41.8 nm in Xe IX. Phys. Rev. Lett. 74, 1574 (1995)

    Google Scholar 

  4. Parashar, J., Pandey, H.D., Tripathi. V.K.: Two-dimensional effects in a tunnel ionized plasma, Phys. Plasmas 4, 3040 (1997)

    Google Scholar 

  5. Liu, C.S., Tripathi, V.K.: Self-focusing and frequency broadening of an intense short-pulse laser in plasmas. J. Opt. Soc. Am. A 18, 1714 (2001)

    CrossRef  ADS  Google Scholar 

  6. Akhmanov, S.A., Sukhorukov, A.P., Khokhlov, R.V.: Self-focusing and diffraction of light in a Nonlinear medium. Sov. Phys. Usp. 10, 609–636 (1968)

    CrossRef  ADS  Google Scholar 

  7. Sodha, M.S., Ghatak, A.K., Tripathi, V.K.: Self-focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 169–265 (1976)

    CrossRef  ADS  Google Scholar 

  8. Marklund, M., Shukla, P.K.: Nonlinear collective effects in photon-photon and photon-plasma interactions. Rev. Mod. Phys. 78, 591 (2006)

    Google Scholar 

  9. Patil, S.D., Takale, M.V.: Stationary self-focusing of Gaussian laser beam in relativistic thermal quantum plasma. Phys. Plasmas 20, 072703 (2013)

    CrossRef  ADS  Google Scholar 

  10. Aggarwal, M., Kumar, H., Kant, N.: Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 2212–2216 (2016)

    CrossRef  ADS  Google Scholar 

  11. Aggarwal, M., Kumar, H., Richa., Gill, T.S.: Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive cold quantum plasma. Phys. Plasmas 24, 013108 (2017)

    Google Scholar 

  12. Aggarwal, M., Goyal, V., Richa, Kumar, H., Gill, T.S.: Weakly relativistic self-focusing of Gaussian laser beam in magnetized cold quantum plasma. Laser Part. Beams 35, 699–705 (2017).

    Google Scholar 

  13. Aggarwal, M., Goyal, V., Gill, T.S.: Relativistic-Ponderomotive Self-focusing of Gaussian laser beam propagating in magnetized cold quantum plasma. Braz. J. Phys. 51, 1642–1650 (2021)

    CrossRef  ADS  Google Scholar 

  14. Pawar, V.S., Nikam, P.P., Kokare, S.R., Patil, S.D., Takale, M.V.: Relativistic self-focusing of finite Airy-Gaussian laser beams in cold quantum plasma. J. Opt. 50, 403–409 (2021)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. D. Patil .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Verify currency and authenticity via CrossMark

Cite this paper

Nikam, P.P., Pawar, V.S., Patil, S.D., Takale, M.V. (2022). Nonlinear Propagation of Gaussian Laser Beam in an Axially Magnetized Cold Quantum Plasma. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_13

Download citation