Skip to main content Accessibility help

Ion-channel laser growth rate and beam quality requirements

  • X. Davoine (a1), F. Fiúza (a2), R. A. Fonseca (a3) (a4), W. B. Mori (a5) and L. O. Silva (a4)...


In this paper, we determine the growth rate of the exponential radiation amplification in the ion-channel laser, where a relativistic electron beam wiggles in a focusing ion channel that can be created in a wakefield accelerator. For the first time the radiation diffraction, which can limit the amplification, is taken into account. The electron beam quality requirements to obtain this amplification are also presented. It is shown that both the beam energy and wiggler parameter spreads should be limited. Two-dimensional and three-dimensional particle-in-cell simulations of the self-consistent ion-channel laser confirm our theoretical predictions.


Corresponding author

Email address for correspondence:


Hide All
Chen, K.-R., Katsouleas, T. C. & Dawson, J. M. 1990 On the amplification mechanism of the ion-channel laser. IEEE Trans. Plasma Sci. 18, 837841.
Davoine, X., Lefebvre, E., Rechatin, C., Faure, J. & Malka, V. 2009 Cold optical injection producing monoenergetic, multi-gev electron bunches. Phys. Rev. Lett. 102, 065001.
Ersfeld, B., Bonifacio, R., Chen, S., Islam, M. R., Smorenburg, P. W. & Jaroszynski, D. A. 2014 The ion channel free-electron laser with varying betatron amplitude. New J. Phys. 16 (9), 093025.
Esarey, E., Shadwick, B. A., Catravas, P. & Leemans, W. P. 2002 Synchrotron radiation from electron beams in plasma-focusing channels. Phys. Rev. E 65, 056505.
Faure, J., Glinec, Y., Pukhov, A., Kiselev, S., Gordienko, S., Lefebvre, E., Rousseau, J., Burgy, F. & Malka, V. 2004 A laser-plasma accelerator producing monoenergetic electron beams. Nature 431, 541544.
Faure, J., Rechatin, C., Norlin, A., Lifschitz, A., Glinec, Y. & Malka, V. 2006 Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses. Nature 444, 737739.
Fonseca, R. A., Silva, L. O., Tsung, F. S., Decyk, V. K., Lu, W., Ren, C., Mori, W. B., Deng, S., Lee, S., Katsouleas, T. et al. 2002 OSIRIS: A Three-Dimensional, Fully Relativistic Particle in Cell Code for Modeling Plasma Based Accelerators, pp. 342351. Springer.
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.
Godfrey, B. B. 1974 Numerical cherenkov instabilities in electromagnetic particle codes. J. Comput. Phys. 15 (4), 504521.
Huang, Z. & Kim, K.-J. 2007 Review of x-ray free-electron laser theory. Phys. Rev. Spec. Top. 10, 034801.
Liu, C. S., Tripathi, V. K. & Kumar, N. 2007 Vlasov formalism of the laser driven ion channel x-ray laser. Plasma Phys. Control. Fusion 49 (3), 325.
Lu, W., Huang, C., Zhou, M., Mori, W. B. & Katsouleas, T. 2006 Nonlinear theory for relativistic plasma wakefields in the blowout regime. Phys. Rev. Lett. 96, 165002.
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. et al. 2004 Monoenergetic beams of relativistic electrons from intense laser-plasma interactions. Nature 431, 535538.
Martins, S. F., Fonseca, R. A., Lu, W., Mori, W. B. & Silva, L. O. 2010 Exploring laser-wakefield-accelerator regimes for near-term lasers using particle-in-cell simulation in Lorentz-boosted frames. Nat. Phys. 6, 311316.
McGuffey, C., Thomas, A. G. R., Schumaker, W., Matsuoka, T., Chvykov, V., Dollar, F. J., Kalintchenko, G., Yanovsky, V., Maksimchuk, A., Krushelnick, K. et al. 2010 Ionization induced trapping in a laser wakefield accelerator. Phys. Rev. Lett. 104, 025004.
Pak, A., Marsh, K. A., Martins, S. F., Lu, W., Mori, W. B. & Joshi, C. 2010 Injection and trapping of tunnel-ionized electrons into laser-produced wakes. Phys. Rev. Lett. 104, 025003.
Rosenzweig, J., Pellegrini, C., Serafini, L., Ternieden, C. & Travish, G. 1997 Space-charge oscillations in a self-modulated electron beam in multi-undulator free-electron lasers. Nucl. Instrum. Meth. Phys. Res. A 393 (1), 376379; free Electron Lasers 1996.
Rousse, A., Phuoc, K. T., Shah, R., Pukhov, A., Lefebvre, E., Malka, V., Kiselev, S., Burgy, F., Rousseau, J.-P., Umstadter, D. et al. 2004 Production of a kev x-ray beam from synchrotron radiation in relativistic laser-plasma interaction. Phys. Rev. Lett. 93, 135005.
Vay, J.-L. 2000 A new absorbing layer boundary condition for the wave equation. J. Comput. Phys. 165 (2), 511521.
Vay, J.-L. 2007 Noninvariance of space- and time-scale ranges under a lorentz transformation and the implications for the study of relativistic interactions. Phys. Rev. Lett. 98, 130405.
Vieira, J., Martins, S. F., Pathak, V. B., Fonseca, R. A., Mori, W. B. & Silva, L. O. 2011 Magnetic control of particle injection in plasma based accelerators. Phys. Rev. Lett. 106, 225001.
Whittum, D. H. 1992 Electromagnetic instability of the ion-focused regime. Phys. Fluids B 4, 730739.
Whittum, D. H., Sessler, A. M. & Dawson, J. M. 1990 Ion-channel laser. Phys. Rev. Lett. 64, 25112514.
MathJax is a JavaScript display engine for mathematics. For more information see


Ion-channel laser growth rate and beam quality requirements

  • X. Davoine (a1), F. Fiúza (a2), R. A. Fonseca (a3) (a4), W. B. Mori (a5) and L. O. Silva (a4)...


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