Hostname: page-component-7479d7b7d-rvbq7 Total loading time: 0 Render date: 2024-07-08T13:38:46.060Z Has data issue: false hasContentIssue false

Modulational instability of a laser pulse in a non-uniform plasma channel

Published online by Cambridge University Press:  23 November 2015

Anuraj Panwar
Affiliation:
Department of Physics, POSTECH, Hyoja-Dong San 31, KyungBuk, Pohang, 790-784, South Korea
Chang-Mo Ryu*
Affiliation:
Department of Physics, POSTECH, Hyoja-Dong San 31, KyungBuk, Pohang, 790-784, South Korea
Ashok Kumar
Affiliation:
Department of Physics, MNIT, Jaipur-302017, Rajasthan, India
*
Address correspondence and reprint request to: C. M. RYU, Department of Physics, POSTECH, Hyoja-Dong San 31, KyungBuk, Pohang, 790-784, South Korea. E-mail: [email protected]

Abstract

A self-guided Gaussian laser pulse propagating in a non-uniform plasma channel is unstable to a plasma wave perturbation co-moving with the laser with its group velocity. The plasma wave amplitude has a maximum radial profile along the laser propagation axis. As the plasma wave propagates through a non-uniform plasma channel, the plasma wave perturbation causes focusing in the part of the laser that propagates with the electron density trough and defocusing in the part moving with the crest. This yields an axial gradient in the intensity of the laser and produces a ponderomotive force on the electrons. The ponderomotive force drives the plasma wave, which in turn makes the modulational instability grow. The growth rate of the modulational instability becomes larger with the increase in non-uniformity of a shallow plasma channel. In a deep cavitated plasma channel the growth rate of the modulational instability increases with the laser pulse amplitude.

Type
Research Article
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

Akhmanov, S.A., Sukhorukov, A.P. & Khokhlov, R. (1966). Sov. Phys. J. Exp. Theor. Phys. 23, 1025.Google Scholar
Andreev, N.E., Kirsanov, V.I. & Sakharov, A.S. (2000). Radial structure of the wakefield excited during the self-modulation of a laser pulse in a plasma. Plasma Phys. Rep. 26, 388396.Google Scholar
Arefiev, A.V., Khudik, V.N. & Schollmeier, M. (2014). Enhancement of laser-driven electron acceleration in an ion channel. Phys. Plasmas 21, 033104.Google Scholar
Chen, H.Y., Liu, S.Q. & Li, X.Q. (2011). Self-modulation instability of an intense laser beam in a magnetized pair plasma. Phys. Scr. 83, 035502.Google Scholar
Corkum, P.B., Rolland, C. & Srinivasan-Rao, T. (1986). Supercontinuum generation in gases. Phys. Rev. Lett. 57, 22682271.Google Scholar
Durfee, C.G., Lynch, J. & Milchberg, H.M. (1995). Development of a plasma waveguide for high-intensity laser pulses. Phys. Rev. E 51, 23682389.CrossRefGoogle ScholarPubMed
Durfee, C.G. & Milchberg, H.M. (1993). Light pipe for high intensity laser pulses. Phys. Rev. Lett. 71, 24092412.Google Scholar
Ehrlich, Y., Cohen, C., Zigler, A., Krall, J., Sprangle, P. & Esarey, E. (1996). Guiding of high intensity laser pulses in straight and curved plasma channel experiments. Phys. Rev. Lett. 77, 41864189.Google Scholar
Esarey, E., Krall, J. & Sprangle, P. (1994). Envelope analysis of intense laser pulse self-modulation in plasmas. Phys. Rev. Lett. 72, 28872890.Google Scholar
Etemadpour, R. & Javan, N.S. (2015). Effect of super-thermal ions and electrons on the modulation instability of a circularly polarized laser pulse in magnetized plasma. Laser Part. Beams 33, 265272.Google Scholar
Geddes, C.G.R., Toth, C., Van Tilborg, J. & 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, 538541.Google Scholar
Geddes, C.G.R., Toth, C., Van Tilborg, J., Esarey, E., Schroeder, C.B., Cary, J. & Leemans, W.P. (2005). Guiding of relativistic laser pulses by pre-formed plasma channels. Phys. Rev. Lett. 95, 145002.Google Scholar
Kumar, A., Dahiya, D. & Sharma, A.K. (2011). Laser prepulse induced plasma channel formation in air and relativistic self-focusing of an intense short pulse. Phys. Plasmas 18, 023102.Google Scholar
Leemans, W.P., Nieter, B., Gonsalves, A.J., Toth, C., Nakamura, K., Geddes, C.G.R., Esarey, E., Schroeder, C.B. & Hooker, S.M. (2006). Gev electron beams from a centimetre-scale accelerator. Nat. Phys. 2, 696699.Google Scholar
Lemoff, B.E., Yin, G.Y., Gordon III, 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, 15741577.Google Scholar
Liu, C.S. & Tripathi, V.K. (1996). Stimulated Raman scattering in a plasma channel. Phys. Plasmas 3, 3410.Google Scholar
Nikitin, S.P., Antonsen, T.M., Clark, T.R., Yuelin, L. & Milchberg, H.M. (1997). Guiding of intense femtosecond pulses in preformed plasma channels. Opt. Lett. 22, 17871789.Google Scholar
Pajouh, H.H., Abbasi, H. & Shukla, P.K. (2004). Non-linear interaction of a Gaussian intense laser beam with plasma: Relativistic modulational instability. Phys. Plasmas 11, 5697.Google Scholar
Panwar, A., Kumar, A. & Ryu, C.M. (2012). Stimulated Raman forward scattering of laser in a pre-formed plasma channel. Laser Part. Beams 18, 023102.Google Scholar
Sajal, V., Panwar, A. & Tripathi, V.K. (2006). Relativistic forward stimulated Raman scattering of a laser in a plasma channel. Phys. Scr. 74, 484488.Google Scholar
Shvets, G. & Li, X. (2001). Raman forward scattering in plasma channels. Phys. Plasmas 8, 8.Google Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1974). Self-Focusing of Laser Beams in Dielectrics, Plasmas and Semiconductors. Delhi: Tata McGraw-Hill.Google Scholar
Spence, D.J., Butler, A. & Hooker, S.M. (2001). First demonstration of guiding of high-intensity laser pulses in a hydrogen-filled capillary discharge waveguide. J. Phys. B: At. Mol. Opt. 34, 4103.Google Scholar
Verma, U. & Sharma, A.K. (2009). Effect of self-focusing on the prolongation of laser produced plasma channel. Laser Part. Beams 27, 3339.Google Scholar
Verma, U. & Sharma, A.K. (2011). Nonlinear electromagnetic Eigen modes of a self-created magnetized plasma channel and its stimulated Raman scattering. Laser Part. Beams 29, 471477.Google Scholar
Watts, I., Zepf, M., Clark, E.L., Tatarakis, M., Krushelnick, K., Dangor, A.E., Allott, R., Clarke, R.J., Neely, D. & Norreys, P.A. (2002). Measurements of relativistic self-phase-modulation in plasma. Phys. Rev. E 66, 036409.Google Scholar
Zhang, S., Xie, B.-S., Hong, X.-R., Wu, H.-C. & Zhao, X.-Y. (2011). Solitary waves of laser pulse in a plasma channel. Phys. Plasmas 18, 033104.Google Scholar
Zhou, J., Peatross, J., Murnane, M.M., Kapteyn, H.C. & Christov, I.P. (1996). Enhanced high-harmonic generation using 25 fs laser pulses. Phys. Rev. Lett. 76, 752755.CrossRefGoogle ScholarPubMed