Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T01:42:53.769Z Has data issue: false hasContentIssue false
  • English
  • Français

Self-focusing of asymmetric cosh-Gaussian laser beams propagating through collisionless magnetized plasma

Published online by Cambridge University Press:  02 November 2017

B. D. Vhanmore ,
S. D. Patil ,
A. T. Valkunde ,
T. U. Urunkar ,
K. M. Gavade  and
M. V. Takale
B. D. Vhanmore
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
S. D. Patil*
Affiliation:
Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India
A. T. Valkunde
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India Government Polytechnic, Khamgaon, Buldhana 444 312, India
T. U. Urunkar
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
K. M. Gavade
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
M. V. Takale
Affiliation:
Department of Physics, Shivaji University, Kolhapur 416 004, India
*
Address correspondence and reprint requests to: S. D. Patil, Department of Physics, Devchand College, Arjunnagar, Kolhapur 591 237, India. E-mail: sdpatil_phy@rediffmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, self-focusing of asymmetric cosh-Gaussian laser beams in collisionless magnetized plasma has been studied. The non-linearity in dielectric constant considered herein is mainly due to the ponderomotive force. The non-linear coupled differential equations for the beam width parameters in transverse dimensions of the beam have been obtained by using WKB and paraxial approximations under parabolic equation approach. The numerical computation is completed by using fourth-order Runge–Kutta method. The effect of unlike decentered parameters in both transverse dimensions of the beam on self-focusing of cosh-Gaussian beams has been presented. Further, the effect of the static magnetic field and polarization modes of the laser has been explored.

Keywords

asymmetrycosh-Gaussianself-focusingmagnetized plasma
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 4 , December 2017 , pp. 670 - 676
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aggarwal, M., Kumar, H. & Kant, N. (2016). Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 2212–2216.CrossRefGoogle Scholar
Aggarwal, M., Vij, S. & Kant, N. (2014). Propagation of cosh-Gaussian laser beam in plasma with density ripple in relativistic-ponderomotive regime. Optik 125, 5081–5084.CrossRefGoogle Scholar
Aggarwal, M., Vij, S. & Kant, N. (2015 a) Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma. Optik 126, 5710–5714.CrossRefGoogle Scholar
Aggarwal, M., Vij, S. & Kant, N. (2015 b) Self-focusing of quadruple Gaussian laser beam in an inhomogeneous magnetized plasma with ponderomotive non-linearity: effect of linear absorption. Communications in Theoretical Physics 64, 565–570.CrossRefGoogle Scholar
Akhmanov, S.A., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics Uspekhi 93, 609–636.CrossRefGoogle Scholar
Al-Rashed, A.R. & Saleh, B.E.A. (1995). Decentered Gaussian beams. Applied Optics 34, 6819–6825.Google Scholar
Asthana, M., Rathore, B. & Varshney, D. (2009). Effect of self-generated axial magnetic field and on propagation of intense laser radiation in plasmas. Journal of Modern Optics 56, 1613–1620.CrossRefGoogle Scholar
Asthana, M., Rathore, B. & Varshney, D. (2012). The anomalous penetration of intense circularly polarized electromagnetic beam through over dense magnetized plasma. Optik, 123, 67–72.CrossRefGoogle Scholar
Atzeni, S. (2015). Light for controlled fusion energy: a perspective on laser-driven inertial fusion. Europhysics Letters 109, 45001.CrossRefGoogle Scholar
Betti, R. & Hurricane, O.A. (2016). Inertial-confinement fusion with lasers. Nature Physics 12, 435–448.Google Scholar
Brenner, C.M., Mirfayzi, S.R., Rusby, D.R., Armstrong, C., Alejo, A., Wilson, L.A., Clarke, R., Ahmed, H., Butler, N.M.H., Haddock, D., Higginson, A., McCLYMONT, A., Murphy, C., Notley, M., Oliver, P., Allott, R., Hernadez-Gomez, C., Kar, S., McKENNA, P. & Neely, D. (2016). Laser-driven x-ray and neutron source development for industrial applications of plasma accelerators. Plasma Physics and Controlled Fusion 58, 014039.Google Scholar
Ferri, J., Davoine, X., Kalmykov, S.Y. & Lifschitz, A. (2016). Electron acceleration and generation of high-brilliance x-ray radiation in kilojoule, subpicosecond laser-plasma interactions. Physical Review Accelerators and Beams 19, 101301.CrossRefGoogle Scholar
Gill, T.S., Kaur, R. & Mahajan, R. (2010). Propagation of high power electromagnetic beam in relativistic magnetoplasma: higher order paraxial ray theory. Physics of Plasmas 17, 093101.CrossRefGoogle Scholar
Gill, T.S., Kaur, R. & Mahajan, R. (2015). Self-focusing of super-Gaussian laser beam in magnetized plasma under relativistic and ponderomotive regime. Optik 126, 1683–1690.CrossRefGoogle Scholar
Gill, T.S., Mahajan, R. & Kaur, R. (2011). Self-focusing of cosh-Gaussian laser beam in a plasma with weakly relativistic and ponderomotive regime. Physics of Plasmas 18, 033110.CrossRefGoogle Scholar
Gondarenko, N.A., Ossakow, S.L. & Milikh, G.M. (2005). Generation and evolution of density irregularities due to self-focusing in ionospheric modifications. Journal of Geophysical Research 110, A09304.Google Scholar
Hooker, S.M. (2013). Developments in laser-driven plasma accelerators. Nature Photonics 7, 775–782.CrossRefGoogle Scholar
Hussain, S., Singh, M., Singh, R.K. & Sharma, R.P. (2014). THz generation and self-focusing of hollow Gaussian laser beam in magnetised plasma. Europhysics Letters 107, 65002.CrossRefGoogle Scholar
Jha, P., Mishra, R.K., Upadhyay, A.K. & Raj, G. (2006). Self-focusing of intense laser beam in magnetized plasma. Physics of Plasmas 13, 103102.CrossRefGoogle Scholar
Kant, N. & Wani, M.A. (2015). Density transition based self-focusing of cosh-Gaussian laser beam in a plasma with linear absorption. Communications in Theoretical Physics 64, 103–107.Google Scholar
Kant, N., Wani, M. & Kumar, A. (2012). Self-focusing of Hermite–Gaussian laser beams in plasma under plasma density ramp. Optic Communications 285, 4483–4487.Google Scholar
Kaur, S., Kaur, M., Kaur, R. & Gill, T.S. (2017). Propagation characteristics of Hermite-cosh-Gaussian laser beam in a rippled density plasmas. Laser and Particle Beams 35, 100–107.CrossRefGoogle Scholar
Kaur, S., Sharma, A.K. & Salih, H.A. (2009). Resonant second harmonic generation of a Gaussian electromagnetic beam in a collisional magnetoplasma. Physics of Plasmas 16, 042509.CrossRefGoogle Scholar
Keskinen, M.J. & Basu, S. (2003). Thermal self-focusing instability in the high-latitude ionosphere. Radio Science 38, 1095.Google Scholar
Khamedi, M. & Bahrampour, A.R. (2013). Noncollapsing vectorial twisted laser beam in plasma under the paraxial approximation. Europhysics Letters 104, 25001.CrossRefGoogle Scholar
Konar, S., Mishra, M. & Jana, S. (2007). Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media. Physics Letters A 362, 505–510.Google Scholar
Kumar, H., Aggarwal, M., Richa and Gill, T.S. (2016). Combined effect of relativistic and ponderomotive nonlinearity on self-focusing of Gaussian laser beam in a cold quantum plasma. Laser and Particle Beams 34, 426–432.CrossRefGoogle Scholar
Lu, B., Ma, H. & Zhang, B. (1999). Propagation properties of cosh-Gaussian beams. Optics Communications 164, 165–170.CrossRefGoogle Scholar
Malekshahi, M., Dorranian, D. & Askari, H.R. (2014). Self-focusing of the high intensity ultra short laser pulse propagating through relativistic magnetized plasma. Optics Communications 332, 227–232.CrossRefGoogle Scholar
Malka, V. (2012). Laser plasma accelerators. Physics of Plasmas 19, 055501.Google Scholar
Nanda, V. & Kant, N. (2014). Strong self-focusing of a cosh-Gaussian laser beam in collisionless magneto-plasma under plasma density ramp. Physics of Plasmas 21, 072111.Google Scholar
Patil, S.D. & Takale, M.V. (2013). Weakly relativistic and ponderomotive effects on self-focusing in the interaction of cosh-Gaussian laser beams with a plasma. Laser Physics Letters 10, 115402.Google Scholar
Patil, S.D., Takale, M.V., Navare, S.T. & Dongare, M.B. (2010). Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma. Laser and Particle Beams 28, 343–349.Google Scholar
Patil, S.D., Takale, M.V., Navare, S.T. & Dongare, M.B. (2011). Cross focusing of two coaxial cosh Gaussian laser beams in parabolic medium. Optik 122, 1869–1871.CrossRefGoogle Scholar
Patil, S.D., Takale, M.V., Navare, S.T., Fulari, V.J. & Dongare, M.B. (2007). Analytical study of HChG-laser beam propagation in collisional and collisionless plasmas. Journal of Optics (India) 36, 136–144.Google Scholar
Patil, S.D., Takale, M.V., Navare, S.T., Fulari, V.J. & Dongare, M.B. (2012). Relativistic self-focusing of cosh-Gaussian laser beams in a plasma. Optics and Laser Technology 44, 314–317.CrossRefGoogle Scholar
Singh, A., Aggarwal, M. & Gill, T.S. (2008). Optical guiding of elliptical laser beam in nonuniform plasma. Optik 119, 559–564.CrossRefGoogle Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Self-focusing of laser beam in plasmas and semiconductor. Progress in Optics 13, 169–265.Google Scholar
Sodha, M.S., Sharma, A. & Agarwal, S.K. (2006). Focusing of electromagnetic beams in collisional plasmas with finite thermal conduction. Physics of Plasmas 13, 083105.Google Scholar
Soni, V.S. & Nayyar, V.P. (1980). Self-trapping and self-focusing of an elliptical laser beam in a collisionless magnetoplasma. Journal of Physics D: Applied Physics 13, 361–368.CrossRefGoogle Scholar
Takale, M.V., Navare, S.T., Patil, S.D., Fulari, V.J. & Dongare, M.B. (2009). Self-focusing and defocusing of TEM0p Hermite–Gaussian laser beams in collisionless plasma. Optics Communications 282, 3157–3162.Google Scholar
Tripathi, V.K., Taguchi, T. & Liu, C.S. (2005). Plasma channel charging by an intense short pulse laser and ion Coulomb explosion. Physics of Plasmas 12, 043106.Google Scholar
Upadhyay, A., Tripathi, V.K., Sharma, A.K. & Pant, H.C. (2002). Asymmetric self-focusing of a laser pulse in plasma. Journal of Plasma Physics 68, 75–80.Google Scholar
Vij, S., Kant, N. & Aggarwal, M. (2016). Resonant third harmonic generation in clusters with density ripple: effect of pulse slippage. Laser and Particle Beams 34, 171–177.Google Scholar
Wani, M. & Kant, N. (2017). Self-focusing of a laser beam in the rippled density magnetoplasma. Optik 128, 1–7.Google Scholar
Xiong, H., Liu, S., Liao, J. & Liu, X. (2010). Self-focusing of laser pulse propagating in magnetized plasma. Optik 121, 1680–1683.CrossRefGoogle Scholar
Zhang, P. & Thomas, A.G.R. (2015). Enhancement of high-order harmonic generation in intense laser interactions with solid density plasma by multiple reflections and harmonic amplification. Applied Physics Letters 106, 131102.CrossRefGoogle Scholar