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Significant enhancement in the propagation of cosh-Gaussian laser beam in a relativistic–ponderomotive plasma using ramp density profile

Published online by Cambridge University Press:  26 June 2018

Harish Kumar ,
Munish Aggarwal ,
Richa ,
Dinkar Sharma ,
Sumit Chandok  and
Tarsem Singh Gill
Harish Kumar
Affiliation:
I.K. Gujral Punjab Technical University, Kapurthala-144603, India
Munish Aggarwal*
Affiliation:
Department of Physics, Lyallpur Khalsa College of Engineering, Jalandhar-144001, India
Richa
Affiliation:
I.K. Gujral Punjab Technical University, Kapurthala-144603, India
Dinkar Sharma
Affiliation:
Department of Mathematics, Lyallpur Khalsa College, Jalandhar-144001, India
Sumit Chandok
Affiliation:
Department of Mathematics, Thapar University, Patiala-147004, India
Tarsem Singh Gill
Affiliation:
Department of Physics, Guru Nanak Dev University, Amritsar 143005, India
*
Author for correspondence: Munish Aggarwal, I.K. Gujral Punjab Technical University, Kapurthala-144603, India. E-mail: sonuphy333@gmail.com
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Abstract

The paper presents an investigation on self-focusing of cosh-Gaussian (ChG) laser beam in a relativistic–ponderomotive non-uniform plasma. It is observed numerically that the selection of decentered parameter and initial beam radius determines the focusing/defocusing of ChG laser beam. For given value of these parameters, the plasma density ramp of suitable length can avoid defocusing and enhance focusing effect significantly. Focusing length and extent of focusing may also be controlled by varying slope of the ramp density. A comparison with Gaussian beam has also been attempted for optimized set of parameters. The results establish that ChG beam focuses earlier and sharper relative to Gaussian beam. We have setup the non-linear differential equation for the beam width parameter using Wentzel–Kramers–Brillouin and paraxial ray approximation and solved it numerically using Runge–Kutta method.

Keywords

Cosh-Gaussian (ChG)density rampponderomotiverelativisticself-focusing
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 2 , June 2018 , pp. 179 - 185
Copyright
Copyright © Cambridge University Press 2018 

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References

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, Kumar, H and Singh Gill, T (2017) Self-focusing of Gaussian laser beam in weakly relativistic and ponderomotive cold quantum plasma. Physics of Plasmas 24, 13108.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
Akhmanov, SA, Sukhorukov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Fizicheskikh Nauk 93, 19–70.Google Scholar
Belafhal, A and Ibnchaikh, M (2000) Propagation properties of Hermite-cosh-Gaussian laser beams. Optics Communications 186, 269–276.Google Scholar
Borisov, AB, Borovskiy, AV, Shiryaev, OB, Korobkin, VV, Prokhorov, AM, Solem, JC, Luk, TS, Boyer, K and Rhodes, CK (1992) Relativistic and charge-displacement self-channeling of intense ultrashort laser pulses in plasmas. Physical Review A 45, 5830–5845.Google Scholar
Brandi, HS, Manus, C, Mainfray, G and Lehner, T (1993 a) Relativistic self-focusing of ultraintense laser pulses in inhomogeneous underdense plasmas. Physical Review E 47, 3780–3783.Google Scholar
Brandi, HS, Manus, C, Mainfray, G, Lehner, T and Bonnaud, G (1993 b) Relativistic and ponderomotive selffocusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial Approximation. Physics of Fluids B 5, 3539–3550.Google Scholar
Casperson, LW and Tovar, AA (1998) Hermite-sinusoidal-Gaussian beams in complex optical systems. Journal of the Optical Society of America A 15, 954–961.Google Scholar
Chen, XL and Sudan, RN (1993) Necessary and sufficient conditions for self-focusing of short ultraintense laser pulse in underdense plasma. Physical Review Letters 70, 2082–2085.Google Scholar
Chien, TY, Chang, CL, Lee, CH, Lin, JY, Wang, J and Chen, SY (2005) Spatially localized self-injection of electrons in a self-modulated laser-wakefield accelerator by using a laser-induced transient density ramp. Physical Review Letters 94, 115003.Google Scholar
Chu, X (2007) Propagation of a cosh-Gaussian beam through an optical system in turbulent atmosphere. Optics Express 15, 17613.Google Scholar
Chu, X, Ni, Y and Zhou, G (2007) Propagation of cosh-Gaussian beams diffracted by a circular aperture in turbulent atmosphere. Applied Physics B: Lasers and Optics 87, 547–552.Google Scholar
Close, DH, Giuliano, CR, Hellwarth, RW, Hess, LD, Mcclung, FJ and Wagner, WG (1966) 8A2 – The self-focusing of light of different polarizations. IEEE Journal of Quantum Electronics 2, 553–557.Google Scholar
Coppi, B, Nassi, M and Sugiyama, LE (1992) Physics basis for compact ignition experiments. Physica Scripta 45, 112–132.Google Scholar
Esarey, E, Sprangle, P, Krall, J and Ting, A (1996) Overview of plasma-based accelerator concepts. IEEE Transactions on Plasma Science 24, 252–288.Google Scholar
Esarey, E, Sprangle, P, Krall, J and Ting, A (1997) Self-focusing and guiding of short laser pulses in ionizing gases and plasmas. IEEE Transactions on Plasma Science 33, 1879–1914.Google Scholar
Faure, J, Malka, V, Marques, JR, Amiranoff, F, Courtois, C, Najmudin, Z, Krushelnick, K, Salvati, M, Dangor, AE, Solodov, A, Mora, P, Adam, JC and Heron, A (2000) Interaction of an ultra-intense laser pulse with a nonuniform preformed plasma. Physics of Plasmas 7, 3009–3016.Google Scholar
Gill, T, Mahajan, R, Kaur, R and Gupta, S (2012) Relativistic self-focusing of super-Gaussian laser beam in plasma with transverse magnetic field. Laser and Particle Beams 30, 509–516.Google Scholar
Gill, TS, Kaur, R and Mahajan, R (2015) Self-focusing of super-Gaussian laser beam in magnetized plasma under relativistic and ponderomotive regime. Optik 126, 1683–1690.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, 33110.Google Scholar
Gupta, DN, Hur, MS, Hwang, I, Suk, H and Sharma, AK (2007) Plasma density ramp for relativistic self-focusing of an intense laser. Journal of the Optical Society of America B 24, 1155–1159.Google Scholar
Habibi, M and Ghamari, F (2012) Investigation of non-stationary self-focusing of intense laser pulse in cold quantum plasma using ramp density profile. Physics of Plasmas 19, 113109.Google Scholar
Habibi, M and Ghamari, F (2015) Improved focusing of a cosh-Gaussian laser beam in quantum plasma: higher order paraxial theory. IEEE Transactions on Plasma Science 43, 2160–2165.Google Scholar
Hora, H (1975) Theory of relativistic self-focusing of laser radiation in plasmas. Journal of the Optical Society of America 65, 882–886.Google Scholar
Hu, B, Horton, W, Zhu, P and Porcelli, F (2003) Density profile control with current ramping in a transport simulation of IGNITOR. Physics of Plasmas 10, 1015–1021.Google Scholar
Kant, N and Wani, MA (2015) Density transition based self-focusing of cosh-Gaussian laser beam in plasma with linear absorption. Communications in Theoretical Physics 64, 103–107.Google Scholar
Karlsson, M and Anderson, D (1992) Super-Gaussian approximation of the fundamental radial mode in nonlinear parabolic-index optical fibers. Journal of the Optical Society of America B 9, 1558–1562.Google Scholar
Kim, J, Kim, GJ and Yoo, SH (2011) Energy enhancement using an upward density ramp in laser wakefield acceleration. Journal of the Korean Physical Society 59, 3166–3170.Google Scholar
Konar, S, Mishra, M and 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
Konar, S and Sengupta, A (1994) Propagation of an elliptic Gaussian laser beam in a medium with saturable nonlinearity. Journal of the Optical Society of America B 11, 1644–1646.Google Scholar
Kumar, A, Gupta, MK and Sharma, RP (2006) Effect of ultra intense laser pulse on the propagation of electron plasma wave in relativistic and ponderomotive regime and particle acceleration. Laser and Particle Beams 24, 403–409.Google Scholar
Lü, B and Luo, S (2000) Beam propagation factor of hard-edge diffracted cosh-Gaussian beams. Optics Communications 178, 275–281.Google Scholar
Lü, B, Ma, H and Zhang, B (1999) Propagation properties of cosh-Gaussian beams. Optics Communications 164, 165–170.Google Scholar
Nanda, V and Kant, N (2014) Strong self-focusing of a cosh-Gaussian laser beam in collisionless magneto-plasma under plasma density ramp. Physics of Plasmas 21, 72111.Google Scholar
Nanda, V, Kant, N and Wani, MA (2013 a) Self-focusing of a Hermite-cosh Gaussian laser beam in a magnetoplasma with ramp density profile. Physics of Plasmas 20, 113109.Google Scholar
Nanda, V, Kant, N and Wani, MA (2013 b) Sensitiveness of decentered parameter for relativistic self-focusing of Hermite-cosh-Gaussian laser beam in plasma. IEEE Transactions on Plasma Science 41, 2251–2256.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, Takale, MV, Navare, ST and Dongare, MB (2010) Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma. Laser and Particle Beams 28, 343–349.Google Scholar
Sadighi-Bonabi, R, Habibi, M and Yazdani, E (2009 a) Improving the relativistic self-focusing of intense laser beam in plasma using density transition. Physics of Plasmas 16, 19–22.Google Scholar
Sadighi-Bonabi, R, Navid, HA and Zobdeh, AP (2009 b) Observation of quasi mono-energetic electron bunches in the new ellipsoid cavity model. Laser and Particle Beams 27, 223–231.Google Scholar
Sharma, A, Verma, MP and Sodha, MS (2004) Self-focusing of electromagnetic beams in collisional plasmas with nonlinear absorption. Physics of Plasmas 11, 4275–4279.Google Scholar
Sodha, MS, Ghatak, AK and Tripathi, VK (1976) Self focusing of laser beams in plasmas and semiconductors. Progress in Optics (Amsterdam: North Holland) 13, 171.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
Sun, G-Z, Ott, E, Lee, YC and Guzdar, P (1987) Self-focusing of short intense pulses in plasmas. Physics of Fluids 30, 526–532.Google Scholar
Tovar, AA and Casperson, LW (1998) Production and propagation of Hermite-sinusoidal-Gaussian laser beams. Journal of the Optical Society of America A 15, 2425–2432.Google Scholar
Tripathi, VK, Taguchi, T and Liu, CS (2005) Plasma channel charging by an intense short pulse laser and ion Coulomb explosion. Physics of Plasmas 12, 43106.Google Scholar
Yazdani, E, Cang, Y, Sadighi-Bonabi, R, Hora, H and Osman, AF (2008) Layers from initial Rayleigh density profiles by directed nonlinear force driven plasma blocks for alternative fast ignition. Laser and Particle Beams 27, 149–156.Google Scholar
Zhang, Y, Song, Y, Chen, Z, Ji, J and Shi, Z (2007) Virtual sources for a cosh-Gaussian beam. Optics Letters 32, 292–294.Google Scholar