Skip to main content Accessibility help

Numerical simulation of Raman and Brillouin laser-pulse amplification in a magnetized plasma

  • Magdi Shoucri (a1)


We apply an Eulerian Vlasov code to study the amplification of an ultra-short seed pulse via stimulated Raman and Brillouin backscattering of energy from a long pump pulse, assumed at constant amplitude, in a plasma embedded in an external magnetic field. Detailed analysis of the spectra developed during the amplification process are presented, together with the evolution showing the pump depletion, accompanied by the counter-propagating seed-pulse amplification, compression and increased steepness of the waveform. In addition to the problem of the amplification of ultra-short seed pulses, there is an obvious academic interest in the study of problems of amplification of electromagnetic waves observed in many situations in laboratory plasmas and in the magnetosphere and other geophysical situations, such as in the environments of planets, where important variations in the presence and strength of magnetic fields are observed. The numerical code solves a one-dimensional relativistic Vlasov–Maxwell set of equations for a plasma in a magnetic field for both electrons and ions. We also apply the code to the problem of wakefield acceleration. The absence of noise in the Eulerian Vlasov code allows one to follow the evolution of the system with an accurate representation of the phase-space structures of the distribution functions.


Corresponding author

Address correspondence and reprint requests to: M. Shoucri, Institut de recherche d'Hydro-Québec (IREQ), Varennes, Québec, CanadaJ3X1S1. E-mail:


Hide All
Andreev, A., Riconda, C., Tikhonchuk, V. & Weber, S. (2006). Short light pulse amplification and compression by stimulated Brillouin in plasmas in the strong coupling regime. Phys. Plasmas 13, 053110/1–5.
Briand, C. (2015). Langmuir waves across the heliosphere. J. Plasma Phys. 81, 127.
Denavit, J. & Sudan, R.N. (1975). Whistler sideband instability. Phys. Fluids 18, 575584.
Ghizzo, A., Bertrand, P., Shoucri, M., Johnston, T.W., Fijalkow, E. & Feix, M. (1990). A Vlasov code for the numerical solution of stimulated Raman scattering. J. Comput. Phys. 90, 431457.
Ghizzo, A., Bertrand, P., Shoucri, M., Johnston, T.W., Fijalkow, E., Feix, M. & Demchenko, V.V. (1992). Study of laser-plasma beat wave current drive with an Eulerian Vlasov code. Nucl. Fusion 32, 4565.
Grulke, O., Buttenschön, B. & Fahrenkamp, N. (2015). A high density helicon discharge for the advanced plasma accelerators AWAKE. 42nd EPS Conf. Plasma Physics, Lisbonne P2.208.
Humphrey, K.A., Trines, R.M.G.M., Fiuza, F., Speirs, D.C., Norreys, P., Cairns, R.A., Silva, L.O. & Bingham, R. (2013). Effect of collisions on amplification of laser beams by Brillouin scattering in plasmas. Phys. Plasmas 20, 102114/1–4.
Lancia, L., Marquès, J.-R., Nakatsutsumi, M., Riconda, C., Weber, S., Hüller, S., Mancic, A., Antici, P., Tikhonchuk, V.T., Héron, A., Audebert, P. & Fuchs, J. (2010). Experimental evidence of short light amplification using strong-coupling stimulated Brillouin scattering in the pump depletion regime. Phys. Rev. Lett. 104, 025001/1–4.
Lehmann, G., Schluck, F. & Spatschek, K.H. (2012). Regions for Brillouin seed pulse growth in relativistic laser-plasma interaction. Phys. Plasmas 19, 093120.
Lehmann, G. & Spatschek, K.H. (2013). Nonlinear Brillouin amplification of finite-duration seeds in the strong coupling regime. Phys. Plasmas 20, 073112/1–10.
Lehmann, G., Spatschek, K.H. & Sewell, G. (2013). Pulse shaping during Raman-seed amplification for short laser pulses. Phys. Rev. E 87, 063107/1–9.
Malkin, V.M. & Fisch, N.J. (2014). Key plasma parameters for resonant backward Raman amplification in plasma. Eur. Phys. J. Spec. Top. 223, 1157.
Malkin, V.M., Shvets, G. & Fisch, N.J. (1999). Fast compression of laser beams to highly overcritical powers. Phys. Rev. Lett. 82, 444844451.
Montgomery, D.S., Albright, B.J., Barnak, D.H., Chang, P.Y., Davies, J.R., Fiksel, G., Froula, D.H., Kline, J.L., MacDonald, M.J., Sefkow, A.B., Yin, L. & Betti, R. (2015). Use of external magnetic fields in hohlraum plasmas to improve laser-coupling. Phys. Plasmas 22, 010703/1–13.
Mourou, G.A., Fisch, N.J., Malkin, V.M., Toroker, Z., Khazanov, A., Sergeev, M., Tajima, T. & Le Garrec, B. (2012). Exawatt-Zetawatt pulse generation and applications. Opt. Commun. 285, 720.
Riconda, C., Weber, S., Lancia, L., Marques, J.R., Mourou, G.A. & Fuchs, J. (2013). Spectral characteristics of ultra-short laser pulses in plasma amplifiers. Phys. Plasmas 20, 083115.
Shoucri, M. (2008 a). Numerical Solution of Hyperbolic Differential Equations. N.Y.: Nova Science Publisher.
Shoucri, M. (2008 b). Numerical simulation of wake-field acceleration using an Eulerian Vlasov code. Commun. Comput. Phys. 4, 703718.
Shoucri, M. & Storey, L.R.O. (1986). Motion of an electron bunch through a plasma. Phys. Fluids 29, 262.
Shoucri, M., Matte, J.-P. & Vidal, F. (2014). A Vlasov code simulation of plasma-based backward Raman amplification in underdense plasma. 41 rstEPS Conf. Plasma Physics, Berlin, P5.093.
Shoucri, M., Matte, J.-P. & Vidal, F. (2015). Relativistic Eulerian Vlasov simulations of the amplification of seed pulses by Brillouin backscattering in plasmas. Phys. Plasmas 22, 053101/1–13.
Summers, D., Tang, R., Omura, Y. & Lee, D. (2013). Parameter spaces for linear and nonlinear whistler-mode waves. Phys. Plasmas 20, 072110/1–10.
Strozzi, D., Perkins, L.J., Marinak, M.M., Larson, D.J., Koning, J.M. & Logan, B.G. (2015). Imposed magnetic field and hot electron propagation in inertial fusion hohlraums. J. Plasma Phys. 81, 475810603/1–21.
Tejero, E.M., Crabtree, C., Blackwell, D.D., Amatucci, W.E., Mithaiwala, M., Ganguli, G. & Rudakov, L. (2015). Laboratory studies of nonlinear wave processes in the Van Allen radiation belts. Phys. Plasmas 22, 091503/1–7.
Toroker, Z., Malkin, V.M. & Fisch, N.J. (2014). Backward Raman amplification in the Langmuir wavebreaking regime. Phys. Plasmas 21, 113110/1–10.
Trines, R.M.G.M., Fiuza, F., Bingham, R., Fonseca, R.A., Silva, L.O., Cairns, R.A. & Norreys, P.A. (2011). Simulations of efficient Raman amplification into the multipetawatt regime. Nat. Phys. 7, 87.
Wang, T., Clark, D., Strozzi, D., Wilks, S., Martins, S. & Kirkwood, R. (2010). Particle-in-cell simulations of kinetic effects in plasma-based backward Ramam amplification in underdense plasmas. Phys. Plasmas 17, 023109/1–9.
Weber, S., Riconda, C., Lancia, L., Marques, J.-R., Mourou, G.A. & Fuchs, J. (2013). Amplification of ultra-short laser pulses by Brillouin backscattering in plasmas. Phys. Rev. Lett. 111, 055004.


Related content

Powered by UNSILO

Numerical simulation of Raman and Brillouin laser-pulse amplification in a magnetized plasma

  • Magdi Shoucri (a1)


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.