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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 8, Iss. 7 — Mar. 26, 2001
  • pp: 395–400

Nonsequential double ionization: a quasiclassical analysis of the Keldysh-type transition amplitude

Sergei P. Goreslavski and Sergei V. Popruzhenko  »View Author Affiliations

Optics Express, Vol. 8, Issue 7, pp. 395-400 (2001)

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The S-matrix amplitude of nonsequential double ionization, written down in the Volkov state basis, has been calculated by a saddle-point method. The distribution in the total and relative momenta of the two emitted electrons is given in analytical form. The result obtained is discussed in the context of the recently measured differential momentum distributions in argon.

© Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(260.3230) Physical optics : Ionization
(270.6620) Quantum optics : Strong-field processes

ToC Category:
Focus Issue: Laser-induced multiple ionization

Original Manuscript: February 5, 2001
Published: March 26, 2001

Sergei Goreslavski and Sergei Popruzhenko, "Nonsequential double ionization: a quasiclassical analysis of the Keldysh-type transition amplitude," Opt. Express 8, 395-400 (2001)

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  1. L.V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Zh. Eksp. Teor. Fiz. 47, 1945-1956 (1964).
  2. M. Lewenstain, Ph. Balcou, M. Yu. Ivanov, Anne L'Huilier, P.B. Corkum, "Theory of high-harmonic generation by low - frequency laser field," Phys. Rev. A 49, 2117- 2132 (1994). [CrossRef]
  3. M. Lewenstain, K.C. Kulander, K.J. Schafer, and P.H. Bucksbaum, "Rings in above - threshold ionization," Phys. Rev. A 51, 1495-1507 (1995).
  4. M. Yu. Kuchiev, "ATI as a source for multiply charged ion production in a laser field," J. Phys. B: At. Mol. Opt. Phys. 28, 5093-5115 (1995). [CrossRef]
  5. F.H.M. Faisal and A. Becker, "Mechanism of direct double ionization of helium in intense laser fields," in Super-Intense Laser-Atom Physics 1996, H.G. Muller and M.V. Fedorov eds. (NATO ASI Series, Ser. 3, vol. 13, Kluver Academic Publishers, London, 1996). [CrossRef]
  6. S.P. Goreslavskii and S.V. Popruzhenko, "Rescattering and quantum interference near the classical cutoffs," J. Phys. B: At. Mol. Opt. Phys. 32, L531-L538 (1999). [CrossRef]
  7. S.P. Goreslavskii and S.V. Popruzhenko, "Tunneling limit in the theory of photoelectron rescattering by the parent ion, " Zh. Eksp. Teor. Fiz. 117, 895-905 (2000), (JETP 90, 778-787).
  8. R. Kopold, W. Becker, M. Kleber, "Quantum path analysis of high-order above-threshold ionization," Opt. Comm. 179, 39-50 (2000). [CrossRef]
  9. S.P. Goreslavskii and S.V. Popruzhenko, "Electron momentum distributions for double ionization in the strong field limit," (NATO ASI Series, Kluver Academic Publishers, London, 2001), (to be published).
  10. A. Becker and F.H.M. Faisal, "Interpretation of momentum distribution of recoil ions from laser induced nonsequential double ionization," Phys. Rev. Lett. 84, 3546-3549 (2000). [CrossRef] [PubMed]
  11. Th. Weber, M. Weckenbrock, A. Staudte, L. Spielberger , O. Jagutzki, V. Mergel, F. Afanch, G. Urbasch, M. Volmer, H. Giessen, and R. Doerner, "Recoil-Ion Momentum Distribution for Single and Double Ionization of Helium in Strong Laser Fields," Phys. Rev. Lett. 84, 443-446 (2000). [CrossRef] [PubMed]
  12. Th. Weber , H. Giessen., M. Weckenbrock, G. Urbasch, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, M. Volmer,and R. Doerner, "Correlated Electron Emission in Multiphoton Double Ionization," Nature 405, 658-661 (2000). [CrossRef] [PubMed]
  13. Th. Weber, M. Weckenbrock, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, F. Afanch, G. Urbasch, M. Volmer, H. Giessen,a nd R. Doerner, "Sequential and nonsequential contributions to double ionization in strong laser fields," J. Phys. B: At. Mol. Opt. Phys. 33, L127- L133 (2000). [CrossRef]
  14. R. Moshammer, B. Feuerstein, W. Schmitt, A. Dorn, C.D. Schroder, J. Ullrich, H. Rottke, C. Tramp, M. Wittmann, G. Korn, K. Hoffmann, and W. Sandner, Phys. Rev. Lett., 84, 447-50 (2000). [CrossRef] [PubMed]
  15. P.B. Corkum, "Plasma Perspective on Strong - Field Multiphoton Ionization," Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
  16. R. Kopold, W. Becker, H. Rottke, and W. Sandner, "Routes to Nonsequential Double Ionization," Phys. Rev. Lett. 85, 3781-3784 (2000). [CrossRef] [PubMed]

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