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Relativistic self-focusing in the interaction of laser beam and plasma with periodical density ripple

Published online by Cambridge University Press:  14 October 2020

Geng Zhang
Affiliation:
College of Science, Guilin University of Technology, Guilin541004, China
Qiuqun Liang
Affiliation:
College of Science, Guilin University of Technology, Guilin541004, China
Xiongping Xia*
Affiliation:
College of Science, Guilin University of Technology, Guilin541004, China
*
Author for correspondence: X. Xia, College of Science, Guilin University of Technology, Guilin 541004, China. E-mail: [email protected]

Abstract

In the paper, relativistic self-focusing in the interaction of laser beam and plasma with periodical density ripple has been studied by the applied WKB approximation and higher-order paraxial theory. The result shows that under the influence of relativistic nonlinear effect, the dielectric function shows the fierce oscillational variation with similar periodicity, which then leads to the intense relativistic beam self-focusing along the propagation distance, such self-focusing also presents similar periodic variation. Besides, in the plasma with periodical density ripple, the initial density and the density ripple amplitude have obvious influence on self-focusing. When the two factors increase, then there will be more strength self-focusing. Choosing the appropriate initial density and the periodic density parameter is benefit to the formation of the more stable self-focusing.

Type
Research Article
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press

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References

Aggarwal, M, Vij, S and Kant, N (2015 a) Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma. Optik 126, 57105714.10.1016/j.ijleo.2015.08.141CrossRefGoogle Scholar
Aggarwal, M, Vij, S and 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, 565.10.1088/0253-6102/64/5/565CrossRefGoogle Scholar
Alexopoulos, NG and Uslenghi, PLE (1981) Reflection and transmission for materials with arbitrarily graded parameters. Journal of the Optical Society of America 71, 15081512.10.1364/JOSA.71.001508CrossRefGoogle Scholar
Bornatici, M and Maj, O (2003) Wave beam propagation in a weakly inhomogeneous isotropic medium: paraxial approximation and beyond. Plasma Physics and Controlled Fusion 45, 707.10.1088/0741-3335/45/5/313CrossRefGoogle Scholar
Brandi, HS, Manus, C and Mainfray, G (1993) Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial approximation. Physics of Fluids B: Plasma Physics 5, 35393550.10.1063/1.860828CrossRefGoogle Scholar
Bud'ko, AB and Liberman, MA (1992) Stabilization of the Rayleigh–Taylor instability by convection in smooth density gradient: Wentzel–Kramers–Brillouin analysis. Physics of Fluids B: Plasma Physics 4, 34993506.10.1063/1.860357CrossRefGoogle Scholar
Craxton, RS and McCrory, RL (1984) Hydrodynamics of thermal self-focusing in laser plasmas. Journal of Applied Physics 56, 108117.10.1063/1.333742CrossRefGoogle Scholar
Fuchs, J, Labaune, C, Depierreux, S and Tikhonchuk, VT (2000) Stimulated Brillouin and Raman scattering from a randomized laser beam in large inhomogeneous collisional plasmas. I. Experiment. Physics of Plasmas 7, 46594668.10.1063/1.1312183CrossRefGoogle Scholar
Gahn, C, Tsakiris, GD, Pukhov, A, Meyer-ter-Vehn, J, Pretzler, G, Thirolf, P, Habs, D and Witte, KJ (1999) Multi-MeV electron beam generation by direct laser acceleration in high-density plasma channels. Physical Review Letters 83, 4772.10.1103/PhysRevLett.83.4772CrossRefGoogle Scholar
Gao, X and Shim, B (2019) Impact-ionization mediated self-focusing of long-wavelength infrared pulses in gases. Optics Letters 44, 827830.10.1364/OL.44.000827CrossRefGoogle ScholarPubMed
Gill, TS and Saini, NS (2007) Nonlinear interaction of a rippled laser beam with an electrostatic upper hybrid wave in collisional plasma. Laser and Particle Beams 25, 283293.10.1017/S0263034607000134CrossRefGoogle Scholar
Gill, TS, Kaur, R and Mahajan, R (2010) Propagation of high power electromagnetic beam in relativistic magnetoplasma: higher order paraxial ray theory. Physics of Plasmas 17, 093101.10.1063/1.3483120CrossRefGoogle Scholar
Gopalaswamy, V, Betti, R, Knauer, JP, Luciani, N, Patel, D, Woo, KM, Bose, A, Igumenshchev, IV, Campbell, EM, Anderson, KS, Bauer, KA, Bonino, MJ, Cao, D, Christopherson, AR, Collins, GW, Collins, TJB, Davies, JR, Delettrez, JA, Edgell, DH, Epstein, R, Forrest, CJ, Froula, DH, Glebov, VY, Goncharov, VN, Harding, DR, Hu, SX, Jacobs-Perkins, DW, Janezic, RT, Kelly, JH, Mannion, OM, Maximov, A, Marshall, FJ, Michel, DT, Miller, S, Morse, SFB, Palastro, J, Peebles, J, Radha, PB, Regan, SP, Sampat, S, Sangster, TC, Sefkow, AB, Seka, W, Shah, RC, Shmyada, WT, Shvydky, A, Stoeckl, C, Solodov, AA, Theobald, W, Zuegel, JD, Johnson, MG, Petrasso, RD, Li, CK and Frenje, A (2019) Tripled yield in direct-drive laser fusion through statistical modelling. Nature 565, 581586.10.1038/s41586-019-0877-0CrossRefGoogle ScholarPubMed
Hora, H, Hoelss, M, Scheid, W, Wang, JW, Ho, YK, Osman, F and Castillo, R (2000) Principle of high accuracy for the nonlinear theory of the acceleration of electrons in a vacuum by lasers at relativistic intensities. Laser and Particle Beams 18, 135144.10.1017/S0263034600181169CrossRefGoogle Scholar
Joshi, C, Clayton, CE and Chen, FF (1982) Resonant self-focusing of laser light in a plasma. Physical Review Letters 48, 874.10.1103/PhysRevLett.48.874CrossRefGoogle 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, 44834487.10.1016/j.optcom.2012.05.065CrossRefGoogle Scholar
Kaur, S, Kaur, M, Kaur, R and Gill, TS (2017) Propagation characteristics of Hermite-cosh-Gaussian laser beam in a rippled density plasmas. Laser and Particle Beams 35, 100107.10.1017/S026303461600080XCrossRefGoogle Scholar
Kaur, M, Agarwal, PC, Kaur, S and Gill, TS (2018) Relativistic effects on propagation of q-Gaussian laser beam in a rippled density plasma: application of higher order corrections. Laser and Particle Beams 36, 246253.10.1017/S0263034618000228CrossRefGoogle Scholar
Kemp, AJ, Sentoku, Y and Tabak, M (2008) Hot-electron energy coupling in ultraintense laser-matter interaction. Physical Review Letters 101, 075004.10.1103/PhysRevLett.101.075004CrossRefGoogle ScholarPubMed
Kodama, R, Norreys, PA, Mima, K, Dangor, AE, Evans, RG, Fujita, H, Kitagawa, Y, Krushelnick, K, Miyakoshi, T, Miyanaga, N, Norimatsu, T, Rose, SJ, Shozaki, T, Shigemori, K, Sunahara, A, Tampo, M, Tanaka, KA, Toyama, Y, Yamanaka, T and Zepf, M (2001) Fast heating of ultrahigh-density plasma as a step towards laser fusion ignition. Nature 412, 798.10.1038/35090525CrossRefGoogle ScholarPubMed
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, 043201.10.1103/PhysRevE.99.043201CrossRefGoogle ScholarPubMed
Lam, JF, Lippmann, B and Tappert, F (1977) Self-trapped laser beams in plasma. Physics of Fluids 20, 11761179.10.1063/1.861679CrossRefGoogle Scholar
Liu, CS and Tripathi, VK (1995) Short wavelength free electron laser operation in a periodic dielectric. IEEE Transactions on Plasma Science 23, 459464.10.1109/27.402340CrossRefGoogle Scholar
Liu, CS and Tripathi, VK (2008) Third harmonic generation of a short pulse laser in a plasma density ripple created by a machining beam. Physics of Plasmas 15, 023106.10.1063/1.2836618CrossRefGoogle Scholar
Lu, W, Huang, C, Zhou, M, Mori, WB and Katsouleas, T (2006) Nonlinear theory for relativistic plasma wakefields in the blowout regime. Physical Review Letters 96, 165002.10.1103/PhysRevLett.96.165002CrossRefGoogle ScholarPubMed
Malekshahi, M, Dorranian, D and Askari, HR (2014) Self-focusing of the high intensity ultra-short laser pulse propagating through relativistic magnetized plasma. Optics Communications 332, 227232.10.1016/j.optcom.2014.07.023CrossRefGoogle Scholar
Nanda, V, Ghotra, HS and Kant, N (2018) Early and strong relativistic self-docusing of cosh-Gaussian laser beam in cold quantum plasma. Optik 156, 191196.10.1016/j.ijleo.2017.10.147CrossRefGoogle Scholar
Pathak, VB, Vieira, J, Silva, LO and Nam, CH (2018) Laser dynamics in transversely inhomogeneous plasma and its relevance to wakefield acceleration. Plasma Physics and Controlled Fusion 60, 054001.10.1088/1361-6587/aab220CrossRefGoogle Scholar
Patil, SD, Chikode, PP and Takale, MV (2018) Turning point temperature of self-focusing at laser–plasma interaction with weak relativistic-ponderomotive nonlinearity: effect of light absorption. Journal of Optics 47, 174179.10.1007/s12596-018-0448-zCrossRefGoogle Scholar
Rawat, P and Purohit, G (2019) Self-focusing of a cosh-Gaussian laser beam in magnetized plasma under relativistic-ponderomotive regime. Contributions to Plasma Physics 59, 226235.10.1002/ctpp.201800066CrossRefGoogle Scholar
Sen, S, Rathore, B, Varshney, M and Varshney, D (2010) Nonlinear propagation of intense electromagnetic beams with plasma density ramp functions. Journal of Physics: Conference Series 208, 012088.Google Scholar
Shao, Y, Zeng, L, Lin, J, Wu, W and Zhang, H (2019) Trailing pulses self-focusing for ultrasonic-based damage detection in thick plates. Mechanical Systems and Signal Processing 119, 420431.10.1016/j.ymssp.2018.09.031CrossRefGoogle Scholar
Sharma, A, Prakash, G and Verma, MP (2003) Three regimes of intense laser beam propagation in plasmas. Physics of Plasmas 10, 40794084.10.1063/1.1605102CrossRefGoogle Scholar
Simmons, WW and Godwin, RO (1983) Nova laser fusion facility—design, engineering, and assembly overview. Nuclear Technology - Fusion 4, 824.10.13182/FST4-1-8CrossRefGoogle Scholar
Sprangle, P, Tang, CM and Esarey, E (1987) Relativistic self-focusing of short-pulse radiation beams in plasmas. IEEE Transactions on Plasma Science 15, 145153.CrossRefGoogle Scholar
Srinivasan, B, Cagas, P, Masti, R, Rathod, C, Shetty, R and Song, Y (2019) A survey of fluid and kinetic instabilities relevant to space and laboratory plasmas. Radiation Effects and Defects in Solids 174, 3145.10.1080/10420150.2019.1577853CrossRefGoogle Scholar
Thakur, V and Kant, N (2018) Stronger self-focusing of a chirped pulse laser with exponential density ramp profile in cold quantum magnetoplasma. Optik 172, 191196.10.1016/j.ijleo.2018.07.027CrossRefGoogle Scholar
Thakur, V, Wani, MA and Kant, N (2019) Relativistic self-focusing of Hermite-cosine-Gaussian laser beam in collisionless plasma with exponential density transition. Communications in Theoretical Physics 71, 736.10.1088/0253-6102/71/6/736CrossRefGoogle Scholar
Tikhonchuk, VT, Hüller, S and Mounaix, P (1997) Effect of the speckle self-focusing on the stationary stimulated Brillouin scattering reflectivity from a randomized laser beam in an inhomogeneous plasma. Physics of Plasmas 4, 43694381.10.1063/1.872599CrossRefGoogle Scholar
Trtica, MS and Gaković, BM (2003) Pulsed TEA CO2 laser surface modifications of silicon. Applied Surface Science 205, 336342.10.1016/S0169-4332(02)01156-XCrossRefGoogle Scholar
Umstadter, D (2003) Relativistic laser–plasma interactions. Journal of Physics D: Applied Physics 36, R151.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, 195203.Google Scholar
Walia, K, Tripathi, D and Tyagi, Y (2017) Investigation of weakly relativistic ponderomotive effects on self-focusing during interaction of high power elliptical laser beam with plasma. Communications in Theoretical Physics 68, 245.10.1088/0253-6102/68/2/245CrossRefGoogle Scholar
Wang, Y, Liang, Y, Yao, J, Yuan, C and Zhou, Z (2019) Nonlinear propagation characteristics and ring structure of a Gaussian beam in collisionless plasmas with high order paraxial ray theory. Optik 179, 744749.10.1016/j.ijleo.2018.11.018CrossRefGoogle Scholar
Wani, MA and Kant, N (2016) Nonlinear propagation of Gaussian laser beam in an inhomogeneous plasma under plasma density ramp. Optik 127, 67106714.CrossRefGoogle Scholar
Watkins, HC and Kingham, RJ (2018) Magnetised thermal self-focusing and filamentation of long-pulse lasers in plasmas relevant to magnetised ICF experiments. Physics of Plasmas 25, 092701.CrossRefGoogle Scholar
Wilson, TC, Li, FY, Weng, SM, Chen, M, McKenna, P and Sheng, ZM (2019) Laser pulse compression towards collapse and beyond in plasma. Journal of Physics B: Atomic, Molecular and Optical Physics 52, 055403.10.1088/1361-6455/ab0132CrossRefGoogle Scholar
Xia, X and Lin, Y (2012) Relativistic filamentation of intense laser beam in inhomogeneous plasma. Plasma Science and Technology 14, 1054.10.1088/1009-0630/14/12/04CrossRefGoogle Scholar
Zare, S, Rezaee, S, Yazdani, E, Anvari, A and Sadighi-Bonabi, R (2015) Relativistic Gaussian laser beam self-focusing in collisional quantum plasmas. Laser and Particle Beams 33, 397403.10.1017/S0263034615000063CrossRefGoogle Scholar
Zhang, HC, Xiao, CZ, Wang, Q, Feng, QS, Liu, J and Zheng, CY (2017) Effect of density modulation on backward stimulated Raman Scattering in a laser-irradiated plasma. Physics of Plasmas 24, 032118.10.1063/1.4979170CrossRefGoogle Scholar