Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-17T14:15:37.606Z Has data issue: false hasContentIssue false
  • English
  • Français

Self-compression of two co-propagating laser pulse having relativistic nonlinearity in plasma

Published online by Cambridge University Press:  20 November 2017

S. Kumar ,
P. K. Gupta ,
R. K. Singh ,
R. Uma  and
R. P. Sharma
S. Kumar*
Affiliation:
Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India
P. K. Gupta
Affiliation:
Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India
R. K. Singh
Affiliation:
Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India
R. Uma
Affiliation:
Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India
R. P. Sharma
Affiliation:
Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India
*
*Address correspondence and reprint requests to: S. Kumar, Centre for Energy Studies, Indian Institute of Technology Delhi, Delhi 110016, India. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The study proposes a semi-analytical model for the pulse compression of two co-propagating intense laser beams having Gaussian intensity profile in the temporal domain. The high power laser beams create the relativistic nonlinearity during propagation in plasma, which leads to the modification of the refractive index profile. The co-propagating laser beams get self- compressed by virtue of group velocity dispersion and induced nonlinearity. The induced nonlinearity in the plasma broadens the frequency spectrum of the pulse via self-phase modulation, turn to shorter the pulse duration and enhancement of laser beam intensity. The nonlinear Schrodinger equations were set up for co-propagating laser beams in plasmas and have been solved in Matlab by considering paraxial approximation. The propagation characteristics of both laser beams inside plasma are divided into three regions through the critical divider curve, which has been plotted between pulse width τ01 and laser beam power P01. Based on the preferred value of critical parameters, these regions are oscillatory compression, oscillatory broadening, and steady broadening. In findings, it is observed that the compression of the laser beam depends on the combined intensity of both beams, plasma density, and initial pulse width.

Keywords

Characteristic beam propagationRelativistic laser–plasma interactionSelf-compression
Type
Research Article
Information
Laser and Particle Beams , Volume 35 , Issue 4 , December 2017 , pp. 722 - 729
Copyright
Copyright © Cambridge University Press 2017 

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

Akhmanov, S.A., Sukhorukov, P.S. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a nonlinear medium. Phys. Uspekhi 10, 609–636.Google Scholar
Amendt, P., Eder, D.C. & Wilks, S.C. (1991). X-ray lasing by optical-field-induced ionization. Phys. Rev. Lett. 66, 2589.Google Scholar
Bharuthram, R. & Parashar, J. (1999). Cross-focusing of two laser beams in a plasma. Phys. Rev. E 60, 3253.CrossRefGoogle ScholarPubMed
Bokaei, B. & Niknam, A.R. (2014). Increasing the upper-limit intensity and temperature range for thermal self-focusing of a laser beam by using plasma density ramp-up. Phys. Plasmas 21, 032309.Google Scholar
Burnett, N.H. & Corkum, P.B. (1989). Cold-plasma production for recombination extreme-ultraviolet lasers by optical-field-induced ionization. J. Opt. Soc. B 6, 1195–1199.Google Scholar
Drake, J.F., Lee, Y.C., Nishikawa, K. & Tsintsadze, N.L. (1976). Breaking of large-amplitude waves as a result of relativistic electron-mass variation. Phys. Rev. Lett. 36, 196.Google Scholar
Faure, J., Glinec, Y., Pukhov, A., Kiselev, S., Gordienko, S., Lefebvre, E. & Malka, V. (2004). A laser–plasma accelerator producing monoenergetic electron beams. Nature 431, 541–544.Google Scholar
Gattass, R.R. & Mazur, E. (2008). Femtosecond laser micromachining in transparent materials. Nat. Photonics 2, 219–225.Google Scholar
Hora, H. (1975). Theory of relativistic self-focusing of laser radiation in plasmas. J. Opt. Soc. Am. 65, 882–886.Google Scholar
Karle, C. & Spatschek, K.H. (2008). Relativistic laser pulse focusing and self-compression in stratified plasma-vacuum systems. Phys. Plasmas 15, 123102.Google Scholar
Kruer, W.L. (1976). The Physics of Laser Plasma Interaction. New York: Addison-Wesley, vol. 73, p. 58.Google Scholar
Lemoff, B.E., Yin, G.Y., Gordan, C.L. III, 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.CrossRefGoogle Scholar
Liang, Y., Sang, H.B., Wan, F., Lv, C. & Xie, B.S. (2015). Relativistic laser pulse compression in magnetized plasmas. Phys. Plasmas 22, 073105.Google Scholar
Lin, H., Chen, L.M. & Kieffer, J.C. (2002). Harmonic generation of ultraintense laser pulses in underdense plasma. Phys. Rev. E 65, 036414.Google Scholar
Mourou, G., Barty, C. & Perry, M.D. (1998). Ultrahigh-intensity lasers: Physics of the extreme on a table top. Phys. Today 51, 22–28.Google Scholar
Olumi, M. & Maraghechi, B. (2014). Self-compression of intense short laser pulses in relativistic magnetized plasma. Phys. Plasmas 21, 113102.Google Scholar
Pukhov, A. (2002). Strong field interaction of laser radiation. Rep. Prog. Phys. 66, 47.Google Scholar
Pukhov, A., Sheng, Z.M. & Meyer-Ter-vehn, J. (1999). Particle acceleration in relativistic laser channels. Phys. Plasmas 6, 2847–2854.Google Scholar
Purohit, G., Pandey, H.D. & Sharma, R.P. (2003). Effect of cross focusing of two laser beams on the growth of laser ripple in plasma. Laser Part. Beams 21, 567–572.Google Scholar
Ross, I.N., Matousek, P., Towrie, M., Langley, A.J. & Collier, J.L. (1997). The prospects for ultrashort pulse duration and ultrahigh intensity using optical parametric chirped pulse amplifiers. Opt. Comm. 144, 125–133.CrossRefGoogle Scholar
Sharma, A., Borhanian, J. & Kourakis, I. (2009). Electromagnetic beam profile dynamics in collisional plasmas. J. of Phys. A: Math. Theo. 42, 465501.Google Scholar
Sharma, A. & Kourakis, I. (2010). Relativistic laser pulse compression in plasmas with a linear axial density gradient. Plasma Phys. Control. Fusion 52, 065002.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
Shibu, S., Parashar, J. & Pandey, H.D. (1998). Possibility of pulse compression of a short-pulse laser in a plasma. J. Plasma Phys. 59, 91–96.Google Scholar
Sholokhov, O., Pukhov, A. & Kostyukov, I. (2003). Self-compression of laser pulses in plasma. Phys. Rev. Lett. 91, 265002.Google Scholar
Shorokhov, O., Pukhov, A. & Kostyukov, I. (2003). Self-compression of laser pulses in plasma. Phys. Rev. Lett. 91, 265002.Google Scholar
Shvets, G., Fisch, N.J., Pukhov, A. & Meyer-Ter-vehn, J. (1998). Superradiant amplification of an ultrashort laser pulse in a plasma by a counter propagating pump. Phys. Rev. Lett. 81, 4879.Google Scholar
Singh, A. & Gupta, N. (2015). Beat wave excitation of electron plasma wave by relativistic cross focusing of cosh-Gaussian laser beams in plasma. Phys. Plasmas 22, 062115.Google Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1976 a). Self-focusing of Laser Beam in Plasma, Dielectric and Semiconductors. Delhi, India: Tata-McGraw-Hill.Google Scholar
Sodha, M.S., Mishra, S.K. & Agarwal, S.K. (2007). Self-focusing and cross-focusing of Gaussian electromagnetic beams in fully ionized collisional magnetoplasmas. Phys. Plasmas 14, 112302.Google Scholar
Sodha, M.S., Tripathi, V.K. & Ghatak, A.K. (1976 b). Self-focusing of laser beams in plasmas and semiconductors Prog. Opt. 13, 169–265.Google Scholar
Tajima, T. & Dawson, J.M. (1979). Laser electron accelerator. Phys. Rev. Lett. 43, 267.CrossRefGoogle Scholar
Wilks, S.C., Kruer, W.L., Tabak, M. & Langdon, A.B. (1992). Absorption of ultra-intense laser pulses. Phys. Rev. Lett. 69, 1383.Google Scholar