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Relativistic ponderomotive self-focusing of quadruple Gaussian laser beam in cold quantum plasma

Published online by Cambridge University Press:  08 October 2018

Richa ,
Munish Aggarwal ,
Harish Kumar ,
Ranju Mahajan ,
Navdeep Singh Arora  and
Tarsem Singh Gill
Richa
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala-144603, India
Munish Aggarwal*
Affiliation:
Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar-145001, India
Harish Kumar
Affiliation:
Research Scholar, I. K. Gujral Punjab Technical University, Kapurthala-144603, India
Ranju Mahajan
Affiliation:
Department of Physics, Lyallpur Khalsa College, Jalandhar-145001, India
Navdeep Singh Arora
Affiliation:
Amritsar College of Engineering and Technology, Amritsar-143115, India
Tarsem Singh Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Author for correspondence: Munish Aggarwal, Department of Applied Science, Lyallpur Khalsa College of Engineering, Jalandhar-145001, India. E-mail: sonuphy333@gmail:com
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Abstract

In the present paper, we have investigated self-focusing of the quadruple Gaussian laser beam in underdense cold quantum plasma. The non-linearity chosen is associated with the relativistic mass effect that arises due to quiver motion of electron and electron density perturbation caused by ponderomotive force. The non-linearity modifies the plasma frequency in the dielectric function and hence the refractive index of the medium. The focusing/defocusing of the quadruple laser depends on the refractive index of the medium. We have set up non-linear differential equation that controls the beam width parameter by using well-known paraxial ray approximation and Wentzel–Krammers–Brillouin approximation. The effect of intensity parameter and electron temperature is observed on laser beam self-focusing in the presence of cold quantum plasma. From the results, it is revealed that electron temperature and the initial intensity of the laser beam control the profile dynamics of the laser beam.

Keywords

Cold quantum plasmaQuadruple Gaussianponderomotiverelativisticself-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 3 , September 2018 , pp. 353 - 358
Copyright
Copyright © Cambridge University Press 2018 

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References

Akhmanov, SA, Sukhorukov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics Uspekhi 10, 609–636.Google Scholar
Aggarwal, M, Kumar, H and Gill, TS (2017) Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive cold quantum plasma. Physics of Plasmas 24, 013108.Google Scholar
Aggarwal, M, Kumar, H and Kant, N (2016) Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 2212–2216.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2014) Propagation of cosh Gaussian laser beam in plasma with density ripple in relativistic-ponderomotive regime. Optik 125, 5081–5084.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2015 a) Self-focusing of quadruple Gaussian laser beam in an inhomogenous magnetized plasma with ponderomotive non-linearity: effect of linear absorption. Communications in Theoretical Physics 64, 565–570.Google Scholar
Aggarwal, M, Vij, S and Kant, N (2015 b) Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma. Optik 126, 5710–5714.Google Scholar
Fedotov, AB, Naumov, AN, Silin, VP, Uryupin, SA and Zheltikov, AM (2000) Third-harmonic generation in a laser-pre-excited gas: the role of excited-state neutrals. Physics Letters A 271, 407–412.Google Scholar
Gill, TS, Mahajan, R and Kaur, R (2011) Self-focusing of cosh-Gaussian laser beam in a plasma with weakly relativistic and ponderomotive regime. Physics of Plasmas 18, 033110.Google Scholar
Gondarenko, NA (2005) Generation and evolution of density irregularities due to self-focusing in ionospheric modifications. Journal of Geophysical Research 110, A09304.Google Scholar
Guzdar, PN, Chaturvedi, PK, Papadopoulos, K and Ossakow, SL (1998) The thermal self-focusing instability near the critical surface in the high-latitude ionosphere. Journal of Geophysical Research 103, 2231–2237.Google Scholar
Habibi, M and Ghamari, F (2014) Relativistic self-focusing of ultra-high intensity X-ray laser beams in warm quantum plasma with upward density profile. Physics of Plasmas 21, 052705.Google Scholar
Hefferon, G, Sharma, A and Kourakis, I (2010) Electromagnetic pulse compression and energy localization in quantum plasmas. Physics Letters A 374, 4336–4342.Google Scholar
Hora, H (1969) Self-focusing of laser beams in a plasma by ponderomotive forces. Zeitschrift für Physik 226, 156–159.Google Scholar
Jha, P, Malviya, A, Upadhyay, AK and Singh, V (2008) Simultaneous evolution of spot size and length of short laser pulses in a plasma channel. Plasma Physics and Controlled Fusion 50, 15002.Google Scholar
Jung, Y (2001) Quantum-mechanical effects on electron–electron scattering in dense high- temperature plasmas. Physics of Plasmas 8, 3842–3844.Google Scholar
Jung, YD and Murakami, I (2009) Quantum effects on magnetization due to ponderomotive force in cold quantum plasmas. Physics Letters A 373, 969–971.Google Scholar
Kant, N, Gupta, DN and Suk, H (2011) Generation of second-harmonic radiations of a self-focusing laser from a plasma with density-transition. Physics Letters A 375, 3134–3137.Google Scholar
Kant, N and Nanda, V (2014) Stronger self-focusing of Hermite-cosh-Gaussian (HChG) laser beam in plasma. Open Access Library Journal 1, 1–5.Google Scholar
Kremp, D, Bonitz, M and Schlanges, M (1999) Quantum kinetic theory of plasmas in strong laser fields. Physical Review E 60, 4725–4732.Google Scholar
Kumar, H, Aggarwal, M, Richa, R and Gill, TS (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.Google Scholar
Marklund, M and Shukla, PK (2006) Nonlinear collective effects in photon-photon and photon-plasma interactions. Reviews of Modern Physics 78, 591–640.Google Scholar
Milani, MRJ, Niknam, AR and Bokaei, B (2014) Temperature effect on self-focusing and defocusing of Gaussian laser beam propagation through plasma in weakly relativistic regime. IEEE Transactions on Plasma Science 42, 742–747.Google Scholar
Nanda, V and Kant, N (2014) Enhanced relativistic self-focusing of Hermite-cosh-Gaussian laser beam in plasma under density transition. Physics of Plasmas 21, 042101.Google Scholar
Nanda, V, Kant, N and Wani, MA (2013) Self-focusing of a Hermite-cosh Gaussian laser beam in a magnetoplasma with ramp density profile. Physics of Plasmas 20, 113109.Google Scholar
Navare, ST, Takale, MV, Patil, SD, Fulari, VJ and Dongare, MB (2012) Impact of linear absorption on self-focusing of Gaussian laser beam in collisional plasma. Optics and Lasers in Engineering 50, 1316–1320.Google Scholar
Nayyar, VP and Soni, VS (1978) Self-focusing of elliptically shaped high-power laser beams in a fully ionized plasma. Applied Physics 17, 73–77.Google Scholar
Niknam, AR, Hashemzadeh, M and Shokri, B (2009) Weakly relativistic and ponderomotive effects on the density steepening in the interaction of an intense laser pulse with an underdense plasma. Physics of Plasmas 16, 033105.Google Scholar
Niknam, AR, Milani, MRJ, Bokaeia, B and Hashemzadeha, M (2013) Weakly relativistic and ponderomotive effects in interaction of intense laser beam with inhomogeneous collisionless and collisional plasmas. Waves in Random and Complex Media 24, 1–18.Google Scholar
Opher, M, Silva, LO, Dauger, DE, Decyk, VK, Dawson, JM, Opher, M and Dawson, JM (2001) The effect of highly damped modes nuclear reaction rates and energy in stellar plasmas: the effect of highly damped modes. Physics of Plasmas 8, 2454–2460.Google Scholar
Patil, SD, Navare, ST, Takale, MV and Dongare, MB (2009) Self-focusing of cosh-Gaussian laser beams in a parabolic medium with linear absorption. Optics and Lasers in Engineering 47, 604–606.Google Scholar
Patil, SD and Takale, MV (2013 a) Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive regime using upward ramp of plasma density. Physics of Plasmas 20, 83101.Google Scholar
Patil, SD and Takale, MV (2013 b). Weakly relativistic ponderomotive effects on self-focusing in the interaction of cosh-Gaussian laser beams with a plasma. Laser Physics Letters 10, 115402.Google Scholar
Patil, SD and Takale, MV (2014) Response to a comment on stationary self-focusing of Gaussian laser beam in relativistic thermal quantum plasma. Physics of Plasmas 21, 064702.Google Scholar
Patil, SD, Takale, MV, Fulari, VJ, Gupta, DN and Suk, H (2013) Combined effect of ponderomotive and relativistic self-focusing on laser beam propagation in a plasma. Applied Physics B: Lasers and Optics 111, 1–6.Google Scholar
Patil, SD, Takale, MV and Navare, ST (2010) Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma. Laser and Particle Beams 28, 343–349.Google Scholar
Patil, SD, Takale, MV, Navare, ST, Fulari, VJ and Dongare, MB (2012) Relativistic self-focusing of cosh-Gaussian laser beams in a plasma. Optics and Laser Technology 44, 314–317.Google Scholar
Regan, SP, Bradley, DK, Chirokikh, AV, Craxton, RS, Meyerhofer, DD, Seka, W and Drake, RP (1999) Laser-plasma interactions in long-scale-length plasmas under direct-drive National Ignition Facility conditions. Physics of Plasmas 6, 2072–2080.Google Scholar
Ren, H, Wu, Z and Chu, PK (2007) Dispersion of linear waves in quantum plasmas. Physics of Plasmas 14, 062102.Google Scholar
Sati, P, Sharma, A and Tripathi, VK (2012) Self focusing of a quadruple Gaussian laser beam in a plasma. Physics of Plasmas 19, 092117.Google Scholar
Shukla, PK and Eliassion, S (2010) Nonlinear aspects of quantum plasma physics. Physics Uspekhi 53, 51–76.Google Scholar
Singh, A, Aggarwal, M and Gill, TS (2008) Optical guiding of elliptical laser beam in nonuniform plasma. Optik 119, 559–564.Google Scholar
Singh, A and Walia, K (2012) Self-focusing of elliptical laser beam in collisional plasma and its effect on stimulated Brillouin scattering process. Journal of Fusion Energy 31, 531–537.Google Scholar
Soni, VS and Nayyar, VP (1980) Self-trapping and self-focusing of an elliptical laser beam in a collisionless magnetoplasma. Journal of Physics D: Applied Physics 13, 361–368.Google Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self-focusing of laser beams in plasmas and semiconductors. Progress in Optics 13, 169–265.Google Scholar
Tabak, M, Hammer, J, Glinsky, ME, Kruer, WL, Wilks, SC, Woodworth, J and Mason, RJ (1994) Ignition and high gain with ultrapowerful lasers. Physics of Plasmas 1, 1626.Google Scholar
Wang, Y and Zhou, Z (2011) Propagation characters of Gaussian laser beams in collisionless plasma: effect of plasma temperature. Physics of Plasmas 18, 043101.Google Scholar
Wani, MA, Ghotra, H and Kant, N (2018) Self-focusing of Hermite-cosh-Gaussian laser beam in semiconductor quantum plasma. Optik 154, 497–502.Google Scholar
Wani, MA and Kant, N (2016) Investigation of relativistic self-focusing of Hermite-cosine-Gaussian laser beam in collisionless plasma. Optik 127, 11, 4705–4709.Google Scholar
Zhou, Z, Wang, Y, Yuan, C and Du, Y (2011) Self-focusing and defocusing of Gaussian laser beams in plasmas with linear temperature ramp. Physics of Plasmas 18, 073107.Google Scholar