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Domains of modulation parameter in the interaction of finite Airy–Gaussian laser beams with plasma

Published online by Cambridge University Press:  15 September 2020

V. S. Pawar ,
S. R. Kokare ,
S. D. Patil Open the ORCID record for S. D. Patil [Opens in a new window]  and
M. V. Takale
V. S. Pawar
Affiliation:
Department of Physics, DKASC College, Ichalkaranji, Maharashtra416 115, India
S. R. Kokare
Affiliation:
Department of Physics, Raje Ramrao Mahavidyalaya, Jath, Maharashtra416 404, India
S. D. Patil*
Affiliation:
Department of Physics, Devchand College, Arjunnagar, Maharashtra591 237, India
M. V. Takale
Affiliation:
Department of Physics, Shivaji University, Kolhapur, Maharashtra416 004, India
*
Author for correspondence: S. D. Patil, Department of Physics, Devchand College, Arjunnagar591 237, Maharashtra, India. E-mail: sdpatil_phy@rediffmail.com
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Abstract

In this paper, self-focusing of finite Airy–Gaussian (AiG) laser beams in collisionless plasma has been investigated. The source of nonlinearity considered herein is relativistic. Based on the Wentzel–Kramers–Brillouin (WKB) and paraxial-ray approximations, the nonlinear coupled differential equations for beam-width parameters in transverse dimensions of AiG beams have been established. The effect of beam's modulation parameter and linear absorption coefficient on the self-focusing/defocusing of the beams is specifically considered. It is found that self-focusing/defocusing of finite AiG beams depends on the range of modulation parameter. The extent of self-focusing is found to decrease with increase in absorption.

Keywords

Absorptionfinite Airy–Gaussian beamsplasmarelativisticself-focusing

Information

Type
Research Article
Information
Laser and Particle Beams , Volume 38 , Issue 3 , September 2020 , pp. 204 - 210
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Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press

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References

Aggarwal, M, Goyal, V, Richa, , Kumar, H and Gill, TS (2017 a) Weakly relativistic self-focusing of Gaussian laser beam in magnetized cold quantum plasma. Laser and Particle Beams 35, 699–705.CrossRefGoogle Scholar
Aggarwal, M, Kumar, H, Richa, and Gill, TS (2017 b) 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, Mahajan, R, Arora, NS and Gill, TS (2018) Relativistic ponderomotive self-focusing of quadruple Gaussian laser beam in cold quantum plasma. Laser and Particle Beams 36, 353–358.Google Scholar
Aggarwal, M, Goyal, V, Kashyap, R, Kumar, H and Gill, TS (2019) Effects of plasma electron temperature and magnetic field on the propagation dynamics of Gaussian laser beam in weakly relativistic cold quantum plasma. Laser and Particle Beams 37, 435–441.CrossRefGoogle Scholar
Akhmanov, SA, Sukhorov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Soviet Physics Uspekhi 93, 609–636.CrossRefGoogle Scholar
Asthana, MV, Varshney, D and Sodha, MS (2000) Relativistic self-focusing of transmitted laser radiation in plasmas. Laser and Particle Beams 18, 101–107.CrossRefGoogle Scholar
Chen, C, Chen, B, Peng, X and Deng, D (2015) Propagation of Airy-Gaussian beam in Kerr medium. Journal of Optics 17, 035504.CrossRefGoogle Scholar
Curcio, A, Anania, MP, Bisesto, FG, Ferrario, M, Filippi, F, Giulietti, D and Petrarca, M (2018) Ray optics Hamiltonian approach to relativistic self focusing of ultra intense lasers in underdense plasmas. EPJ Web of Conferences 167, 01003.CrossRefGoogle Scholar
Deng, DM and Li, H (2012) Propagation properties of Airy Gaussian beam. Applied Physics B 106, 677–681.CrossRefGoogle Scholar
Dwivedi, M, Dhawan, R, Punia, S and Malik, HK (2019) Relativistic self-focusing of Laguerre-Gaussian beam in an underdense plasma. AIP Conference Proceedings 2136, 060006.CrossRefGoogle Scholar
Feit, MD, Komashko, AM and Rubenchik, AM (2001) Relativistic self-focusing in underdense plasma. Physica D 152–153, 705–713.CrossRefGoogle Scholar
Gavade, KM, Urunkar, TU, Vhanmore, BD, Valkunde, AT, Takale, MV and Patil, SD (2020) Self-focusing of Hermite–cosh–Gaussian laser beams in a plasma under a weakly relativistic and ponderomotive regime. Journal of Applied Spectroscopy 87, 499–504.CrossRefGoogle Scholar
Habara, H, Adumi, K, Yabuuchi, T, Nakamura, T, Chen, ZL, Kashihara, M, Kodama, R, Kondo, K, Kumar, GR, Lei, LA, Matsuoka, T, Mima, K and Tanaka, KA (2006) Surface acceleration of fast electrons with relativistic self-focusing in preformed plasma. Physical Review E 97, 095004.Google ScholarPubMed
Hasson, KI, Sharma, AK and Khamis, RA (2010) Relativistic laser self-focusing in a plasma with transverse magnetic field. Physica Scripta 81, 025505.CrossRefGoogle Scholar
Hauser, T, Scheid, W and Hora, H (1988) Analytical calculation of relativistic self-focusing length in the WKB approximation. Journal of the Optical Society of America B 5, 2029–2034.CrossRefGoogle Scholar
Hefferon, G, Sharma, A and Kourakis, I (2010) Electromagnetic pulse compression and energy localization in quantum plasmas. Physics Letter A 374, 4336–4342.CrossRefGoogle Scholar
Hora, H (1975) Theory of relativistic self-focusing of laser radiation in plasmas. Journal of the Optical Society of America 65, 882–886.CrossRefGoogle Scholar
Kant, N, Wani, MA and Kumar, A (2012) Self-focusing of Hermite–Gaussian laser beams in plasma under plasma density ramp. Optics Communications 285, 4483–4487.CrossRefGoogle Scholar
Kashyap, R, Aggarwal, M, Gill, TS, Arora, NS, Kumar, H and Moudhgill, D (2019) Self-focusing of q-Gaussian laser beam in relativistic plasma under the effect of light absorption. Optik 182, 1030–1038.CrossRefGoogle Scholar
Kaw, PK (2017) Nonlinear laser-plasama interactions. Reviews of Modern Plasma Physics 1, 2.CrossRefGoogle Scholar
Khanna, RK and Baheti, K (2001) Relativistic nonlinearity and wave-guide propagation of rippled laser beam in plasma. Pramana 56, 755–766.CrossRefGoogle Scholar
Kovalev, VF and Bychenkov, VY (2019) Analytic theory of relativistic self-focusing for a Gaussian light beam entering a plasma: Renormalization-group approach. Physical Review E 99, 043201.CrossRefGoogle ScholarPubMed
Kumar, H and Aggarwal, M (2018) Self-focusing of an elliptic-Gaussian laser beam in relativistic ponderomotive plasma using a ramp density profile. Journal of the Optical Society of America B 35, 1635–1641.CrossRefGoogle Scholar
Kumar, H, Aggarwal, M 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.CrossRefGoogle Scholar
Kumar, H, Aggarwal, M, Sharma, D, Chandok, S and Gill, TS (2018) Significant enhancement in the propagation of cosh-Gaussian laser beam in a relativistic–ponderomotive plasma using ramp density profile. Laser and Particle Beams 36, 179–185.CrossRefGoogle Scholar
Li, J, Zang, W and Tian, J (2010) Vacuum laser-driven acceleration by Airy beams. Optics Express 18, 7300–7306.CrossRefGoogle ScholarPubMed
Mahajan, R, Richa, , Gill, TS, Kaur, R and Aggarwal, M (2018). Stability and dynamics of a cosh-Gaussian laser beam in relativistic thermal quantum plasma. Laser and Particle Beams 36, 341–352.CrossRefGoogle Scholar
Mahmoud, ST and Sharma, RP (2001) Relativistic self-focusing and its effect on stimulated Raman and stimulated Brillouin scattering in laser plasma interaction. Physics of Plasmas 8, 3419.CrossRefGoogle Scholar
Nanda, V, Kant, N and Wani, MA (2013) Sensitiveness of decentered parameter for relativistic self-focusing of Hermite-cosh-Gaussian laser beam in plasma. IEEE Transactions on Plasma Science 41, 2251–2256.CrossRefGoogle Scholar
Nanda, V, Ghotra, HS and Kant, N (2018) Early and strong relativistic self-focusing of cosh-Gaussian laser beam in cold quantum plasma. Optik 156, 191–196.CrossRefGoogle Scholar
Ouahid, L, Dalil-Essakali, L and Belafhal, A (2018 a) Relativistic self-focusing of finite Airy-Gaussian beams in collisionless plasma using the Wentzel-Kramers-Brillouin approximation. Optik 154, 58–66.CrossRefGoogle Scholar
Ouahid, L, Dalil-Essakali, L and Belafhal, A (2018 b) Effect of light absorption and temperature on self-focusing of finite Airy–Gaussian beams in a plasma with relativistic and ponderomotive regime. Optical and Quantum Electronics 50, 216.CrossRefGoogle Scholar
Patil, SD and Takale, MV (2013) Stationary self-focusing of Gaussian laser beam in relativistic thermal quantum plasma. Physics of Plasmas 20, 072703.CrossRefGoogle Scholar
Patil, SD and Takale, MV (2014) Response to “Comment on ‘Stationary self-focusing of Gaussian laser beam in relativistic thermal quantum plasma’”. Physics of Plasmas 21, 064701.CrossRefGoogle Scholar
Patil, SD, Takale, MV, Navare, ST, Fulari, VJ and Dongare, MB (2007) Analytical study of HChG-laser beam propagation in collisional and collisionless plasmas. Journal of Optics (India) 36, 136–144.CrossRefGoogle Scholar
Patil, SD, Takale, MV, Navare, ST and Dongare, MB (2011) Cross focusing of two coaxial cosh-Gaussian laser beams in a parabolic medium. Optik 122, 1869–1871.CrossRefGoogle Scholar
Patil, SD, Takale, MV, Fulari, VJ, Gupta, DN and Suk, H (2013 a) Combined effect of ponderomotive and relativistic self-focusing on laser beam propagation in a plasma. Applied Physics B 111, 1–6.CrossRefGoogle Scholar
Patil, SD, Takale, MV, Navare, ST, Dongare, MB and Fulari, VJ (2013 b) Self-focusing of Gaussian laser beam in relativistic cold quantum plasma. Optik 124, 180–183.CrossRefGoogle Scholar
Patil, SD, Takale, MV, Fulari, VJ and Gill, TS (2016) Sensitiveness of light absorption for self-focusing at laser-plasma interaction with weakly relativistic and ponderomotive regime. Laser and Particle Beams 34, 669–674.CrossRefGoogle Scholar
Patil, SD, Chikode, PP and Takale, MV (2018 a) Turning point temperature of self-focusing at laser–plasma interaction with weak relativistic-ponderomotive nonlinearity: effect of light absorption. Journal of Optics (India) 47, 174–179.CrossRefGoogle Scholar
Patil, SD, Valkunde, AT, Vhanmore, BD, Urunkar, TU, Gavade, KM and Takale, MV (2018 b) Influence of light absorption on relativistic self-focusing of Gaussian laser beam in cold quantum plasma. AIP Conference Proceedings 1953, 140046.CrossRefGoogle Scholar
Patil, SD, Valkunde, AT, VhanmorE, BD, Urunkar, TU, Gavade, KM and Takale, MV (2019) Exploration of temperature range for self-focusing of lowest-order Bessel-Gaussian laser beams in plasma with relativistic and ponderomotive regime. AIP Conference Proceedings 2142, 110012.CrossRefGoogle Scholar
Polynkin, P, Kolesik, M, Moloney, J, Siviloglou, G and Christodoulides, D (2009 a) Curved plasma channel generation in air using ultra-intense self-bending Airy beams. Optics and Photonics News 20, 28.CrossRefGoogle Scholar
Polynkin, P, Kolesik, M, Moloney, JV, Siviloglou, GA and Christodoulides, DN (2009 b) Curved plasma channel generation using ultraintense Airy beams. Science 324, 229–232.CrossRefGoogle ScholarPubMed
Sharma, A and Kourakis, I (2010) Relativistic laser pulse compression in plasmas with a linear axial density gradient. Plasma Physics and Controlled Fusion 52, 065002.CrossRefGoogle Scholar
Sharma, A, Prakash, G, Verma, MP and Sodha, MS (2003) Three regimes of intense laser beam propagation in plasmas. Physics of Plasmas 10, 4079–4084.CrossRefGoogle Scholar
Sharma, V, Thakur, V and Kant, N (2019) Third harmonic generation of a relativistic self-focusing laser in plasma in the presence of wiggler magnetic field. High Energy Density Physics 32, 51–55.CrossRefGoogle Scholar
Siviloglou, GA and Christodoulides, DN (2007) Accelerating finite energy Airy beams. Optics Letters 32, 979–981.CrossRefGoogle ScholarPubMed
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self-focusing of laser beams in plasmas and semiconductors. Progress in Optics 13, 169–265.CrossRefGoogle Scholar
Varshney, M, Qureshi, KA and Varshney, D (2006) Relativistic self-focusing of a laser beam in an inhomogeneous plasma. Journal of Plasma Physics 72, 195–203.Google Scholar
Vhanmore, BD, Patil, SD, Valkunde, AT, Urunkar, TU, Gavade, KM and Takale, MV (2017) Self-focusing of asymmetric cosh-Gaussian laser beams propagating through collisionless magnetized plasma. Laser and Particle Beams 35, 670–676.CrossRefGoogle Scholar
Vhanmore, BD, Valkunde, AT, Urunkar, TU, Gavade, KM, PatiL, SD and Takale, MV (2018 a) Effect of decentred parameter on self-focusing in the interaction of cosh-Gaussian laser beams with collisionless magnetized plasma. AIP Conference Proceedings 1953, 140047.CrossRefGoogle Scholar
Vhanmore, BD, Patil, SD, Valkunde, AT, Urunkar, TU, Gavade, KM, Takale, MV and Gupta, DN (2018 b) Effect of q-parameter on relativistic self-focusing of q-Gaussian laser beam in plasma. Optik 158, 574–579.CrossRefGoogle Scholar
Vhanmore, BD, Valkunde, AT, Urunkar, TU, Gavade, KM, Patil, SD and Takale, MV (2019) Self-focusing of higher-order asymmetric elegant Hermite-cosh-Gaussian laser beams in collisionless magnetized plasma. European Physical Journal D 73, 45.CrossRefGoogle Scholar
Vhanmore, BD, Takale, MV and Patil, SD (2020) Influence of light absorption in the interaction of asymmetric elegant Hermite-cosh-Gaussian laser beams with collisionless magnetized plasma. Physics of Plasmas 27, 063104.CrossRefGoogle Scholar
Wani, MA and Kant, N (2016) Investigation of relativistic self-focusing of Hermite-cosine-Gaussian laser beam in collisionless plasma. Optik 127, 4705–4709.CrossRefGoogle Scholar
Zare, S, Yazdani, E, Rezaee, S, Anvari, A and SadighI-Bonabi, R (2015) Relativistic self-focusing of intense laser beam in thermal collisionless quantum plasma with ramped density profile. Physical Review Special Topics Accelerators and Beams 18, 041301.CrossRefGoogle Scholar
Zheng, Z, Zhang, B, Chen, H, Ding, J and Wang, H (2011) Optical trapping with focused Airy beams. Applied Optics 50, 43–49.CrossRefGoogle ScholarPubMed