Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T04:46:40.116Z Has data issue: false hasContentIssue false
  • English
  • Français

Second-harmonic generation by relativistic self-focusing of cosh-Gaussian laser beam in underdense plasma

Published online by Cambridge University Press:  13 November 2015

Arvinder Singh  and
Naveen Gupta
Arvinder Singh*
Affiliation:
Department of Physics, National Institute of Technology, Jalandhar, India
Naveen Gupta
Affiliation:
Department of Physics, National Institute of Technology, Jalandhar, India
*
Address correspondence and reprint requests to: Arvinder Singh, Department of Physics, National Institute of Technology, Jalandhar, India. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents theoretical investigation of effect of relativistic self-focusing of cosh-Gaussian (ChG) laser beam on second-harmonic generation in an underdense plasma. Steep transverse density gradients are produced in the plasma by the electron plasma wave excited by relativistic self-focusing of ChG laser beam. The generated plasma wave interacts with the pump beam to produce its second harmonics. Following Jeffrey Wentzel Kramers Brillouin (J.W.K.B) approximation and moment theory the differential equation governing the evolution of spot size of laser beam with distance of propagation has been derived. The differential equation so obtained has been solved numerically by the Runge–Kutta method to investigate the effect of decentered parameter, intensity of laser beam as well as density of plasma on self-focusing of the ChG laser beam, and generation of its second harmonics. It has been observed that the peak intensity of the laser beam shifts in the transverse direction by changing the decentered parameter and a noticeable change is observed on focusing of the laser beam as well as on conversion efficiency of second harmonics.

Keywords

Cosh-GaussianSelf-focusingUnderdense plasmas
Type
Research Article
Information
Laser and Particle Beams , Volume 34 , Issue 1 , March 2016 , pp. 1 - 10
Copyright
Copyright © Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Agarwal, R.N., Pandey, B.K. & Sharma, A.K. (2001). Resonant second harmonic generation of a millimeter wave in a plasma filled waveguide. Phys. Scr. 63, 243.Google Scholar
Akhiezer, A.I. & Polovin, R.V. (1956). Theory of wave motion of an electron plasma. Sov. Phys.–JETP 3, 696–705.Google Scholar
Amendt, P., Eder, D.C. & Wilks, S.C. (1991). X-ray lasing by optical-field-induced ionization. Phys. Rev. Lett. 66, 2589.CrossRefGoogle ScholarPubMed
Bobin, J.L. (1985). High intensity laser plasma interaction. Phys. Rep. 122, 173.Google Scholar
Brunel, F. (1990). Harmonic generation due to plasma effects in a gas undergoing multiphoton ionization in the high-intensity limit. J. Opt. Soc. Am. B 7, 521.Google Scholar
Bulanov, S.V., Naumova, N.M. & Pegoraro, F. (1994). Interaction of an ultrashort, relativistically strong laser pulse with an overdense plasma. Phys. Plasmas 1, 745.CrossRefGoogle Scholar
Burnett, N.H., Baldis, H.A., Richardson, M.C. & Enright, G.D. (1977). Harmonic generation in CO2 laser target interaction. Appl. Phys. Lett. 31, 172–174.Google Scholar
Carman, R.L., Forslund, D.W. & Kindel, J.M. (1981 a). Visible harmonic emission as a way of measuring profile steepening. Phys. Rev. Lett. 46, 29.Google Scholar
Carman, R.L., Rhodes, C.K. & Benjamin, R.F. (1981 b). Observation of harmonics in the visible and ultraviolet created in CO2-laser-produced plasmas. Phys. Rev. A 24, 2649.Google Scholar
Deutsch, C., Furukawa, H., Mima, K., Murakami, M. & Nishihara, K. (1996). Interaction physics of the fast ignitor concept. Phys. Rev. Lett. 77, 2483–2486.Google Scholar
Dromey, B., Adams, D., Horlein, R., Nomura, Y., Rykovanov, S.G., Carroll, D.C., Foster, P.S., Kar, S., Markey, K., McKenna, P., Neely, D., Geissler, M., Tsakiris, G.D. & Zepf, M. (2009). Diffraction-limited performance and focusing of high harmonics from relativistic plasmas. Nat. Phys. 5, 146.Google Scholar
Erokhin, N., Zakharov, V.E. & Moiseev, S.S. (1969). Second harmonic generation by an electromagnetic wave incident on inhomogeneous plasma. Sov. Phys. – JETP 29, 101.Google Scholar
Faure, J., Glinec, Y., Pukhov, A., Kiselev, S., Gordienko, S., Lefebvre, E., Rousseau, J.P., Burgy, F. & Malka, V. (2004). A laser–plasma accelerator producing monoenergetic electron beams. Nature 431, 541–544.Google Scholar
Geddes, C.G.R., Toth, C., Tilborg, J.V., Esarey, E., Schroeder, C.B., Bruhwiler, D., Nieter, C., Cary, J. & Leemans, W.P. (2004). High-quality electron beams from a laser wakefield accelerator using plasma-channel guiding. Nature 431, 538–541.Google Scholar
Hora, H. (2007). New aspects for fusion energy using inertial confinement. Laser Part. Beams 25, 37–45.Google Scholar
Hora, H. & Ghatak, A.K. (1985). New electrostatic resonance driven by laser radiation at perpendicular incidence in superdense plasmas. Phys. Rev. A 31, 3473.Google Scholar
Jha, P. & Aggarwal, E. (2014). Second harmonic generation by propagation of a p-polarized obliquely incident laser beam in underdense plasma. Phys. Plasmas 21, 053107.Google Scholar
Kant, N., Gupta, D.N. & Suk, H. (2011). Generation of second-harmonic radiations of a self-focusing laser from a plasma with density-transition. Phys. Lett. A 375, 3134–3137.Google Scholar
Kant, N., Gupta, D.N. & Suk, H. (2012). Resonant third-harmonic generation of a short-pulse laser from electron–hole plasmas. Phys. Plasmas 19, 013101.CrossRefGoogle Scholar
Kant, N. & Sharma, A.K. (2004 a). Effect of pulse slippage on resonant second harmonic generation of a short pulse laser in a plasma. J. Phys. D: Appl. Phys. 37, 998.Google Scholar
Kant, N. & Sharma, A.K. (2004 b). Resonant second-harmonic generation of a short pulse laser in a plasma channel. J. Phys. D: Appl. Phys. 37, 2395.Google Scholar
Kaur, S., Sharma, A.K. & Salih, H.A. (2009). Resonant second harmonic generation of a Gaussian electromagnetic beam in a collisional magnetoplasma. Phys. Plasmas 16, 042509.Google Scholar
Konar, S., Mishra, M. & Jana, S. (2007). Nonlinear evolution of cosh-Gaussian laser beams and generation of flat top spatial solitons in cubic quintic nonlinear media. Phys. Lett. A 362, 505–510.CrossRefGoogle Scholar
Lam, J.F., Lippmann, B. & Tappert, F. (1975). Moment theory of self-trapped laser beams with nonlinear saturation. Opt. Commun. 15, 419–421.Google Scholar
Lam, J.F., Lippmann, B. & Tappert, F. (1977). Self-trapped laser beams in plasma. Phys. Fluids 20, 1176–1179.Google Scholar
Lichters, R., Vehn, J.M. & Pukhov, A. (1996). Short-pulse laser harmonics from oscillating plasma surfaces driven at relativistic intensity. Phys. Plasmas 3, 3425.Google Scholar
Lu, B., Ma, H. & Zhang, B. (1999). Propagation properties of cosh-Gaussian beams. Opt. Commun. 164, 165–170.Google Scholar
Mangles, S.P.D., Murphy, C.D., Najmudin, Z., Thomas, A.G.R., Collier, J.L., Dangor, A.E., Divall, E.J., Foster, P.S., Gallacher, J.G., Hooker, C.J., Jaroszynski, D.A., Langley, A.J., Mori, W.B., Norreys, P.A., Tsung, F.S., Viskup, R., Walton, B.R. & Krushelnick, K. (2004). Monoenergetic beams of relativistic electrons from intense laser–plasma interactions. Nature 431, 535–538.Google Scholar
Nanda, V. & Kant, N. (2014). Strong self-focusing of a cosh-Gaussian laser beam in collisionless magneto-plasma under plasma density ramp Strong self-focusing of a cosh-Gaussian laser beam in collisionless magneto-plasma under plasma density ramp. Phys. Plasmas 21, 072111–072117.Google Scholar
Nanda, V., Kant, N. & Wani, M.A. (2013). Sensitiveness of decentered parameter for relativistic self-focusing of hermite-cosh-Ggaussian laser beam in plasma. IEEE Trans. Plasma Sci. 41, 2251–2256.Google Scholar
Parashar, J. & Pandey, H.D. (1992). Second-harmonic generation of laser radiation in a plasma with a density ripple. IEEE Trans. Plasma Sci. 20, 996.CrossRefGoogle Scholar
Patil, S.D., Takale, M.V., Navare, S.T., Fulari, V.J. & Dongare, M.B. (2012). Relativistic self-focusing of cosh-Gaussian laser beams in a plasma. Opt. Laser Technol. 44, 314–317.Google Scholar
Singh, A. & Gupta, N. (2015). Second harmonic generation by relativistic self-focusing of q-Gaussian laser beam in preformed parabolic plasma channel. Phys. Plasmas 22, 013102.Google Scholar
Singh, A. & Walia, K. (2011 a). Self-focusing of Gaussian laser beam through collisional plasmas and its effect on second harmonic generation. Laser Part. Beams 29, 407.CrossRefGoogle Scholar
Singh, A. & Walia, K. (2011 b). Self-focusing of Gaussian laser beam through collisionless plasmas and its effect on second harmonic generation. J. Fusion Energ. 30, 555–560.Google Scholar
Singh, A. & Walia, K. (2013). Effect of self-focusing of Gaussian laser beam on second harmonic generation in relativistic plasma. J. Fusion Energ. 33, 83–87.Google Scholar
Sodha, M.S., Sharma, J.K., Tewari, D.P., Sharma, R.P. & Kaushik, S.C. (1978). Plasma wave and second harmonic generation. Plasma Phys. 20, 825.Google Scholar
Stamper, J.A., Lehmberg, R.H., Schmitt, A., Herbst, M.J., Young, F.C., Gardner, J.H. & Obenshain, S.P. (1985). Evidence in the second-harmonic emission for self-focusing of a laser pulse in a plasma. Phys. Fluids 28, 2563–2569.Google Scholar
Sturrock, P.A., Ball, R.H. & Baldwin, D.E. (1965). Radiation at the plasma frequency and its harmonic from a turbulent plasma. Phys. Fluids 8, 1509.CrossRefGoogle Scholar
Tajima, T. & Dawson, J.M. (1979). Laser electron accelerator. Phys. Rev. Lett. 43, 267–270.Google Scholar
Teubner, U. & Gibbon, P. (2009). High-order harmonics from laser-irradiated plasma surfaces. Rev. Mod. Phys. 81, 445–479.Google Scholar
Verma, N.K., Agrawal, E. & Jha, P. (2015). Phase-matched second-harmonic generation via laser plasma interaction. Euro Phys. Lett. 109, 15001.Google Scholar
Wilks, S.C., Dawson, J.M., Mori, W.B., Katsouleas, T. & Jones, M.E. (1989). Photon accelerator. Phys. Rev. Lett. 62, 2600.Google Scholar
Willes, A.J., Robinson, P.A. & Melrose, D.B. (1996). Second harmonic electromagnetic emission via Langmuir wave coalescence. Phys. Plasmas 3, 149.Google Scholar