Floquet Theory in Electron-Helium Scattering in a Nd:YAG Laser Field

DOI: 10.4236/opj.2013.38A003   PDF   HTML   XML   4,856 Downloads   6,254 Views   Citations


The dynamics of laser-assisted elastic collisions in helium is studied. The formalism which will be developed to describe such laser-assisted collisions, treats the laser-projectile interaction to all orders, while the electron-helium interaction is treated within the first Born-approximation. Detailed calculations are performed for the elastic scattering of 50 eV electrons by helium accompanied by the transfer of photons. The numerical results show that the good physical interpretation of relevant processes needs to consider the maximum of atomic states.

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A. Makhoute, H. Agueny and S. Chqondi, "Floquet Theory in Electron-Helium Scattering in a Nd:YAG Laser Field," Optics and Photonics Journal, Vol. 3 No. 8A, 2013, pp. 18-27. doi: 10.4236/opj.2013.38A003.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] N. J. Mason and W. R. Newell, “Simultaneous Electron-Photon Excitation of the Helium 23S State,” Journal of Physics B, Vol. 20, 1987, p. L323.
[2] B. Wallbank, J. K. Holmes, L. Le Blanc and A. Weingartshofer, “Simultaneous Off-Shell Excitation of He 23S by an Electron and One or More Photons,” Zeitschrift für Physik D, Vol. 10, 1988, p. 467.
[3] B. Wallbank, J. K. Holmes and A. Weingartshofer, “Simultaneous Electron-Photon Ex-Citation of He 23S: An Experimental Investigation of the Effects of Laser Intensity and Polarisation,” Journal of Physics B, Vol. 23, 1990, p. 2997.
[4] D. Nehari, J. Holmes, K. M. Dunseath and M. Terao-Dunseath, “Experimental and Theoretical Study of Free-Free Electron-Helium Scattering in a CO2 Laser Field,” Journal of Physics B, Vol. 43, 2010, Article ID: 025203.
[5] B. A. deHarak, L. Ladino, K. B. MacAdam and N. L. S. Martin, “High-Energy Electron-Helium Scattering in a Nd:YAG Laser Field,” Physical Review A, Vol. 83, No. 2, 2011, Article ID: 022706.
[6] F. W. Byron Jr. and C. J. Joachain, “Electron-Atom Collisions in a Strong Laser Field,” Journal of Physics B, Vol. 17, 1984, p. L295.
[7] A. Makhoute and D. Khalil, “The Effects of Laser Parameters on Electron-Atom Collisions,” Progress in Laser and Electro-Optics Research, Nova Science Publishers, Inc., 2010.
[8] A. Makhoute and D. Khalil, “Phase Signatures in Laser-Assisted Electron-Atom Collisions,” European Physical Journal D, Vol. 46, No. 1, 2008, p. 77.
[9] A. Makhoute, “Etude Théorique de Collisions Electrons-Helium en Présence de Champs Laser Intense,” Ph.D. Dissertation, Universite Libre de Bruxelles, Brussels, 1991.
[10] D. V. Volkov, “über eine Klasse von Losungen der Diracschen Gleichung,” Zeitschrift für Physik, Vol. 94, 1935, p. 50.
[11] M. Dorr, C. J. Joachain and R. M. Potvliege, “Born-Floquet Theory of Laser-Assisted Electron-Atom Collisions,” Physical Review A, Vol. 49, No. 6, 1994, p. 4852.
[12] G. Ferrante, C. Leone and F. Trombetta, “Laser Modifcation of the Exchange Scattering in Electron-Atom Collisions,” Journal of Physics B, Vol. 15, 1982, p. L475.
[13] J. G. Story, D. I. Duncan and T. F. Gallagher, “Landau-Zener Treatment of Intensity-Tuned Multiphoton Resonances of Potassium,” Physical Review A, Vol. 50, No. 2, 1994, p. 1607.
[14] C. J. Joachain, “Quantum Collision Theory,” North-Holland, Amsterdam, 1983.
[15] P. Francken, Y. Attaourti and C. J. Joachain, “Laser-Assisted Inelastic Electron-Atom Collisions,” Physical Review A, Vol. 38, No. 4, 1988, p. 1785.
[16] D. Khalil, O. El Akramine, A. Makhoute, A. Maquet and R. Taieb, “Light Polarization Eects in Laser-Assisted Elastic Electron-Helium Collisions: A Sturmian Approach,” Journal of Physics B, Vol. 31, 1998, p. 1115.
[17] M. Bouzidi, A. Makhoute and M. N. Houkonounou, “Polarisation Effect of Laser Field in Inelastic Electron-Hydrogen Collisions,” European Physical Journal D, Vol. 5, 2, 1999, p. 159. http://dx.doi.org/10.1007/s100530050239
[18] A. Dubois, A. Maquet and S. Jetzke, “ElectronH-Atom Collisions in the Presence of a Laser Field: One-Photon Free-Free Transitions,” Physical Review A, Vol. 34, 1986, p. 1888.

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