Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-23T20:39:39.429Z Has data issue: false hasContentIssue false
  • English
  • Français

Beat wave excitation of electron plasma wave by coaxial cosh-Gaussian laser beams in collisional plasma

Published online by Cambridge University Press:  14 July 2015

Arvinder Singh  and
Naveen Gupta
Arvinder Singh*
Affiliation:
Department of Physics, National Institute of Technology Jalandhar, Jalandhar, Punjab, India
Naveen Gupta
Affiliation:
Department of Physics, National Institute of Technology Jalandhar, Jalandhar, Punjab, India
*
Address correspondence and reprint requests to: A. Singh, Department of Physics, National Institute of Technology Jalandhar, Jalandhar, Punjab, India. E-mail: arvinder6@lycos.com
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents a scheme for beat wave excitation of an electron plasma wave (EPW) by cross-focusing of two intense cosh-Gaussian (ChG) laser beams in an under dense collisional plasma. The plasma wave is generated on account of beating of two ChG laser beams of frequencies ω1 and ω2. Starting from Maxwell's equations, coupled differential equations governing the evolution of spot size of laser beams with distance of propagation have been derived by using Moment theory approach in Wentzel–Kramers–Brillouin approximation. The collisional nonlinearity depends not only on the intensity of first laser beam, but also on that of second laser beam. Therefore, dynamics of first laser beam affects that of other and hence cross-focusing of the two laser beams takes place. Numerical simulations have been carried out to investigate the effect of laser as well as plasma parameters on cross-focusing of laser beams and further its effect on power of excited EPW. It has been found that decentered parameters of the two laser beams have significant effect on power of EPW.

Keywords

Beat wavecosh-Gaussiancross-focusingelectron plasma wavecollisional plasma
Type
Research Article
Information
Laser and Particle Beams , Volume 33 , Issue 4 , December 2015 , pp. 621 - 632
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

Bruce, I., Cohen, , Allan, N., Kaufman, & Watson, K.M. (1972). Beat heating of a plasma. Phys. Rev. Lett. 29, 581–584.Google Scholar
Darrow, C., Mori, W.B., Katsouleas, T., Joshi, C., Umstadter, D. & Clayton, C.E. (1987). Electrostatic mode coupling of beat-excited electron plasma waves. IEEE Trans. Plasma Sci. 15, 107.CrossRefGoogle Scholar
Darrow, C., Umstadter, D., Katsouleas, T., Morim, W.B., Clayton, C.E. & Joshi, C. (1986). Saturation of beat-excited plasma waves by electrostatic mode coupling. Phys. Rev. Lett. 56, 2629–2632.CrossRefGoogle ScholarPubMed
Deutsch, C., Furukawa, H., Mima, K., Murakami, M. & Nishihara, K. (1996). Interaction physics of the fast ignitor concept. Phys. Rev. Lett. 77, 2483–2486.CrossRefGoogle ScholarPubMed
Eder, D.C., Amendt, P., DaSilva, L.B., London, R.A., MacGowan, B.J., Matthews, D.L., Penetrante, B.M., RosenM,D. M,D., Wilksm, S.C., Donnelly, T.D., Falcone, R.W. & Strobel, G.L. (1994). Tabletop x-ray lasers. Phys. Plasmas 1, 1744.CrossRefGoogle 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.CrossRefGoogle ScholarPubMed
Gill, T.S., Kaur, R. & Mahajan, R. (2011). Relativistic self-focusing and self-phase modulation of cosh-Gaussian laser beam in magnetoplasma. Laser Part. Beams 29, 183.CrossRefGoogle Scholar
Konar, S., Mishra, M. & Jana, S. (2007). Nonlinear evolution of cosh-Gaussian laser beams and generation of at top spatial solitons in cubic quintic nonlinear media. Phys. Lett. A 362, 505–510.CrossRefGoogle Scholar
Lam, J.F., Lippmann, B. & Tappert, F. (1977). Self-trapped laser beams in plasma. Phys. Fluids 20, 1176–1179.CrossRefGoogle Scholar
Leemans, W.P., Joshi, C., Mori, W.B., Clayton, C.E. & Johnston, T.W. (1992). Nonlinear dynamics of driven relativistic electron plasma waves. Phys. Rev. A 46, 5112.CrossRefGoogle ScholarPubMed
Lemoff, B.E., Yin, G.Y., Gordon, C.L., Barty, C.P.J. & Harris, S.E. (1995). Demonstration of a 10-Hz Femtosecond-Pulse-Driven XUV Laser at 41.8 nm in Xe IX. Phys. Rev. Lett. 74, 1574–1577.CrossRefGoogle Scholar
Lu, B., Ma, H. & Zhang, B. (1999). Propagation properties of cosh-Gaussian beams. Opt. Commun. 164, 165–170.CrossRefGoogle Scholar
Maiman, T.H. (1960). Stimulated optical radiation in Ruby. Nature 187, 493–494.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.CrossRefGoogle Scholar
Rosenbluth, M.N. & Liu, C.S. (1972). Excitation of plasma waves by two laser beams. Phys. Rev. Lett. 29, 701–704.CrossRefGoogle Scholar
Sharma, R.P. & Chauhan, P.K. (2008). Nonparaxial theory of cross-focusing of two laser beams and its effects on plasma wave excitation and particle acceleration: Relativistic case. Phys. Plasmas 15, 063103.CrossRefGoogle Scholar
Singh, A. & Walia, K. (2010). Relativistic self-focusing and self-channeling of Gaussian laser beam in plasma. Appl. Phys. B 101, 617–622.CrossRefGoogle Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976). Progress in Optics, (Wolf, E., Ed.), Vol. XIII, pp. 169–265. North Holland, Amsterdam.Google Scholar
Tabak, M., Hammer, J., Glinsky, M.E., Kruer, W.L., Wilks, S.C., Woodworth, J., Campbell, E.M., Perry, M.D. & Mason, R.J. (1994). Ignition and high gain with ultrapowerful lasers. Phys. Plasmas 1, 1626.CrossRefGoogle Scholar
Tajima, T. & Dawson, J.M. (1979). Laser electron accelerator. Phys. Rev. Lett. 43, 267–270.CrossRefGoogle Scholar