Skip to main content Accessibility help
×
Home

Generation of second harmonics of intense Hermite–Gaussian laser beam in relativistic plasma

  • Jyoti Wadhwa (a1) and Arvinder Singh (a1)

Abstract

In this paper, the scheme of generation of second harmonics of incident electromagnetic wave having a Hermite–Gaussian intensity profile in an under dense relativistic plasma has been presented. The relativistic mass variation of electrons by the intense electric field of incident beam generates the density gradients in background plasma which further excites the electron plasma wave (EPW) at resonant frequency and coupling of the EPW with the incident beam results in the generation of second harmonics of incident beam. Propagation dynamics of the Hermite–Gaussian laser beam in plasma has been studied by the formulation of differential equation for the spot size of the laser beam with the help of method of moments. Numerical simulations have been carried out to solve the differential equation for the dimensionless beam width parameters. Solution of the nonlinear wave equation for the electric field vector of second harmonics of incident beam gives the expression for second-harmonic yield. It has been observed that second-harmonic yield is affected by the different modes of Hermite–Gaussian laser beam in relativistic plasma.

Copyright

Corresponding author

Author for correspondence: A. Singh, Department of Physics, National Institute of Technology, Jalandhar, India. E-mail: arvinders@nitj.ac.in

References

Hide All
Carrasco, S, Saleh, BEA, Teich, MC and Fourkas, JT (2006) Second- and third-harmonic generation with vector Gaussian beams. Journal of the Optical Society of America B 23, 21342141.10.1364/JOSAB.23.002134
Chekalin, SV and Kandidov, VP (2013) From self-focusing light beams to femtosecond laser pulse filamentation. Physics-Uspekhi 56, 123140.10.3367/UFNe.0183.201302b.0133
Corkum, PB, Rolland, C and Srinivasan-Rao, T (1986) Supercontinuum generation in gases. Physical Review Letters 57, 22682271.10.1103/PhysRevLett.57.2268
Courtial, J, Dholakia, K, Allen, L and Padgett, MJ (1997) Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. Physical Review A 56, 41934196.10.1103/PhysRevA.56.4193
Dahiya, D, Sajal, V and Sharma, AK (2007) Phase-matched second- and third-harmonic generation in plasmas with density ripple. Physics of Plasmas 14, 123104–1,7.10.1063/1.2817088
Eder, DC, Amendt, P, Dasilva, LB, London, RA, MacGowan, BJ, Matthews, DL, Penetrante, BM, Rosen, MD, Wilksm, SC, Donnelly, TD, Falcone, RW and Strobel, GL (1994) Tabletop X-ray lasers. Physics of Plasmas 1, 1744.10.1063/1.870936
Faez, S, Johnson, PM, Mazurenko, DA and Lagendijk, AD (2009) Experimental observation of second-harmonic generation and diffusion inside random media. Journal of the Optical Society of America B 26, 235243.10.1364/JOSAB.26.000235
Franken, PA, Hill, AE, Peters, CW and Weinreich, G (1961) Generation of optical harmonics. Physical Review Letters 7, 118120.10.1103/PhysRevLett.7.118
Fuchs, J, Labaune, C, Depierreux, S, Tikhonchuk, VT and Baldis, HA (2000) Stimulated Brillouin and Raman scattering from a randomized laser beam in large inhomogeneous collisional plasmas. I. Experiment. Physics of Plasmas 7, 46594668.10.1063/1.1312183
Gibbon, P (1997) High-order harmonic generation in plasmas. IEEE Journal of Quantum Electronics 33, 19151924.10.1109/3.641306
Hora, H (2007) New aspects for fusion energy using inertial confinement. Laser and Particle Beams 25, 3745.10.1017/S0263034607070073
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.2012.05.065
Lam, JF, Lippmann, B and Tappert, F (1977) Self-trapped laser beams in plasma. Physics of Fluids 20, 11761179.10.1063/1.861679
Mori, WB (1994) Overview of laboratory plasma radiation sources. Physica Scripta T52, 2835.10.1088/0031-8949/1994/T52/004
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, 343349.10.1017/S0263034610000297
Purohit, G, Rawat, P and Gauniyal, R (2016) Second harmonic generation by self-focusing of intense hollow Gaussian laser beam in collisionless plasma. Physics of Plasmas 23, 013103,1–9.10.1063/1.4939544
Rax, JM, Robiche, J and Kostyukov, I (2000) Relativistic second-harmonic generation and conversion in a weakly magnetized plasma. Physics of Plasmas 7, 10261034.10.1063/1.873903
Sharma, V, Thakur, V and Kant, N (2018) Influence of density ripple on pulse slippage of third harmonic generation in plasma. Optik 174, 354362.10.1016/j.ijleo.2018.08.056
Siegman, AE (1986) Lasers. Mill Valley: University Science Books.
Siegman, AE (1973) Hermite–Gaussian functions of complex argument as optical-beam eigen functions. Journal of the Optical Society of America B 63, 10931094.10.1364/JOSA.63.001093
Singh, A and Gupta, N (2016) Second-harmonic generation by relativistic self-focusing of cosh- Gaussian laser beam in underdense plasma. Laser and Particle Beams 34, 110.10.1017/S0263034615000749
Sodha, MS, Sharma, JK, Tewari, DP, Sharma, RP and Kaushik, SC (1978) Plasma wave and second harmonic generation. Plasma Physics 20, 825835.10.1088/0032-1028/20/8/007
Strickland, D and Mourou, G (1985) Compression of amplified chirped optical pulses. Optics Communications 56, 219221.10.1016/0030-4018(85)90120-8
Suckewer, S and Skinner, C (1990) Soft x-ray lasers and their applications. Science 247, 15531557.
Tabak, M, Hammer, J, Glinsky, ME, Kruer, WL, Wilks, SC, Woodworth, J, Campbell, EM, Perry, MD and Mason, RJ (1994) Ignition and high gain with ultrapowerful lasers. Physics of Plasmas 1, 16261634.10.1063/1.870664
Tajima, T and Dawson, JM (1979) Laser electron accelerator. Physical Review Letters 43, 267270.10.1103/PhysRevLett.43.267
Takale, MV, Navare, ST, Patil, SD, Fulari, VJ and Dongare, MB (2009) Self-focusing and defocusing of TEM 0p Hermite–Gaussian laser beams in collisionless plasma. Optics Communications 282, 31573162.10.1016/j.optcom.2009.04.049

Keywords

Generation of second harmonics of intense Hermite–Gaussian laser beam in relativistic plasma

  • Jyoti Wadhwa (a1) and Arvinder Singh (a1)

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