Skip to main content Accessibility help
×
Home

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

  • Harish Kumar (a1), Munish Aggarwal (a2), Richa (a1), Dinkar Sharma (a3), Sumit Chandok (a4) and Tarsem Singh Gill (a5)...

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.

Copyright

Corresponding author

Author for correspondence: Munish Aggarwal, I.K. Gujral Punjab Technical University, Kapurthala-144603, India. E-mail: sonuphy333@gmail.com

References

Hide All
Aggarwal, M, Kumar, H and Kant, N (2016) Propagation of Gaussian laser beam through magnetized cold plasma with increasing density ramp. Optik 127, 22122216.
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.
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.
Akhmanov, SA, Sukhorukov, AP and Khokhlov, RV (1968) Self-focusing and diffraction of light in a nonlinear medium. Fizicheskikh Nauk 93, 1970.
Belafhal, A and Ibnchaikh, M (2000) Propagation properties of Hermite-cosh-Gaussian laser beams. Optics Communications 186, 269276.
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, 58305845.
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, 37803783.
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, 35393550.
Casperson, LW and Tovar, AA (1998) Hermite-sinusoidal-Gaussian beams in complex optical systems. Journal of the Optical Society of America A 15, 954961.
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, 20822085.
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.
Chu, X (2007) Propagation of a cosh-Gaussian beam through an optical system in turbulent atmosphere. Optics Express 15, 17613.
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, 547552.
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, 553557.
Coppi, B, Nassi, M and Sugiyama, LE (1992) Physics basis for compact ignition experiments. Physica Scripta 45, 112132.
Esarey, E, Sprangle, P, Krall, J and Ting, A (1996) Overview of plasma-based accelerator concepts. IEEE Transactions on Plasma Science 24, 252288.
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, 18791914.
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, 30093016.
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, 509516.
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, 16831690.
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.
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, 11551159.
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.
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, 21602165.
Hora, H (1975) Theory of relativistic self-focusing of laser radiation in plasmas. Journal of the Optical Society of America 65, 882886.
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, 10151021.
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, 103107.
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, 15581562.
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, 31663170.
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, 505510.
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, 16441646.
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, 403409.
, B and Luo, S (2000) Beam propagation factor of hard-edge diffracted cosh-Gaussian beams. Optics Communications 178, 275281.
, B, Ma, H and Zhang, B (1999) Propagation properties of cosh-Gaussian beams. Optics Communications 164, 165170.
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.
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.
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, 22512256.
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.
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.
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.
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, 343349.
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, 1922.
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, 223231.
Sharma, A, Verma, MP and Sodha, MS (2004) Self-focusing of electromagnetic beams in collisional plasmas with nonlinear absorption. Physics of Plasmas 11, 42754279.
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.
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.
Sun, G-Z, Ott, E, Lee, YC and Guzdar, P (1987) Self-focusing of short intense pulses in plasmas. Physics of Fluids 30, 526532.
Tovar, AA and Casperson, LW (1998) Production and propagation of Hermite-sinusoidal-Gaussian laser beams. Journal of the Optical Society of America A 15, 24252432.
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.
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, 149156.
Zhang, Y, Song, Y, Chen, Z, Ji, J and Shi, Z (2007) Virtual sources for a cosh-Gaussian beam. Optics Letters 32, 292294.

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed