Skip to main content Accessibility help
×
Home
Hostname: page-component-5c569c448b-t6r6x Total loading time: 0.195 Render date: 2022-07-05T00:58:37.786Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "useNewApi": true } hasContentIssue true

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

Published online by Cambridge University Press:  08 October 2018

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

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2018 

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

Akhmanov, SA, Sukhorukov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics Uspekhi 10, 609636.CrossRefGoogle 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.CrossRefGoogle Scholar
Aggarwal, M, Kumar, H and Kant, N (2016) Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 22122216.CrossRefGoogle 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, 50815084.CrossRefGoogle 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, 565570.CrossRefGoogle Scholar
Aggarwal, M, Vij, S and Kant, N (2015 b) Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma. Optik 126, 57105714.CrossRefGoogle Scholar
Fedotov, AB, Naumov, AN, Silin, VP, Uryupin, SA and Zheltikov, AM (2000) Third-harmonic generation in a laser-pre-exrefd gas: the role of excited-state neutrals. Physics Letters A 271, 407412.CrossRefGoogle 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.CrossRefGoogle Scholar
Gondarenko, NA (2005) Generation and evolution of density irregularities due to self-focusing in ionospheric modifications. Journal of Geophysical Research 110, A09304.CrossRefGoogle 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, 22312237.CrossRefGoogle 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.CrossRefGoogle Scholar
Hefferon, G, Sharma, A and Kourakis, I (2010) Electromagnetic pulse compression and energy localization in quantum plasmas. Physics Letters A 374, 43364342.CrossRefGoogle Scholar
Hora, H (1969) Self-focusing of laser beams in a plasma by ponderomotive forces. Zeitschrift für Physik 226, 156159.CrossRefGoogle 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.CrossRefGoogle Scholar
Jung, Y (2001) Quantum-mechanical effects on electron–electron scattering in dense high- temperature plasmas. Physics of Plasmas 8, 38423844.CrossRefGoogle Scholar
Jung, YD and Murakami, I (2009) Quantum effects on magnetization due to ponderomotive force in cold quantum plasmas. Physics Letters A 373, 969971.CrossRefGoogle 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, 31343137.CrossRefGoogle Scholar
Kant, N and Nanda, V (2014) Stronger self-focusing of Hermite-cosh-Gaussian (HChG) laser beam in plasma. Open Access Library Journal 1, 15.Google Scholar
Kremp, D, Bonitz, M and Schlanges, M (1999) Quantum kinetic theory of plasmas in strong laser fields. Physical Review E 60, 47254732.CrossRefGoogle ScholarPubMed
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, 426432.CrossRefGoogle Scholar
Marklund, M and Shukla, PK (2006) Nonlinear collective effects in photon-photon and photon-plasma interactions. Reviews of Modern Physics 78, 591640.CrossRefGoogle 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, 742747.CrossRefGoogle 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.CrossRefGoogle 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.CrossRefGoogle 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, 13161320.CrossRefGoogle Scholar
Nayyar, VP and Soni, VS (1978) Self-focusing of elliptically shaped high-power laser beams in a fully ionized plasma. Applied Physics 17, 7377.CrossRefGoogle 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.CrossRefGoogle 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, 118.CrossRefGoogle 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, 24542460.CrossRefGoogle 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, 604606.CrossRefGoogle 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.CrossRefGoogle 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.CrossRefGoogle 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, 16.CrossRefGoogle Scholar
Patil, SD, Takale, MV and Navare, ST (2010) Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma. Laser and Particle Beams 28, 343349.CrossRefGoogle 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, 314317.CrossRefGoogle 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, 20722080.CrossRefGoogle Scholar
Ren, H, Wu, Z and Chu, PK (2007) Dispersion of linear waves in quantum plasmas. Physics of Plasmas 14, 062102.CrossRefGoogle 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.CrossRefGoogle Scholar
Shukla, PK and Eliassion, S (2010) Nonlinear aspects of quantum plasma physics. Physics Uspekhi 53, 5176.CrossRefGoogle Scholar
Singh, A, Aggarwal, M and Gill, TS (2008) Optical guiding of elliptical laser beam in nonuniform plasma. Optik 119, 559564.CrossRefGoogle 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, 531537.CrossRefGoogle 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, 361368.CrossRefGoogle Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self-focusing of laser beams in plasmas and semiconductors. Progress in Optics 13, 169265.CrossRefGoogle 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.CrossRefGoogle 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.CrossRefGoogle Scholar
Wani, MA, Ghotra, H and Kant, N (2018) Self-focusing of Hermite-cosh-Gaussian laser beam in semiconductor quantum plasma. Optik 154, 497502.CrossRefGoogle Scholar
Wani, MA and Kant, N (2016) Investigation of relativistic self-focusing of Hermite-cosine-Gaussian laser beam in collisionless plasma. Optik 127, 11, 47054709.CrossRefGoogle 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.CrossRefGoogle Scholar

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

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

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

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

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

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

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *