OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 13 — Jun. 21, 2010
  • pp: 14293–14300

Role of Coulomb focusing on the electron transverse momentum of above-threshold ionization

Cheng Huang, Qing Liao, Yueming Zhou, and Peixiang Lu  »View Author Affiliations

Optics Express, Vol. 18, Issue 13, pp. 14293-14300 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (790 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have investigated the 2D photoelectron momentum spectra for ATI of atoms exposed to linearly polarized pulses by quantum mechanical calculations. By comparing the 2D momentum spectra for the long-range and short-range Coulomb potentials, the focusing of the electron transverse momentum by the long-range interaction is clearly revealed. Analysis indicates that the Coulomb attraction of the parent core to the returning electron is responsible for the focusing of the electron transverse momentum. Moreover, the strong dependence of the focusing of the electron transverse momentum on the laser wavelength and intensity is discussed.

© 2010 Optical Society of America

OCIS Codes
(020.4180) Atomic and molecular physics : Multiphoton processes
(260.3230) Physical optics : Ionization
(020.2649) Atomic and molecular physics : Strong field laser physics

ToC Category:
Atomic and Molecular Physics

Original Manuscript: May 7, 2010
Revised Manuscript: June 7, 2010
Manuscript Accepted: June 16, 2010
Published: June 18, 2010

Cheng Huang, Qing Liao, Yueming Zhou, and Peixiang Lu, "Role of Coulomb focusing on the electron transverse momentum of above-threshold ionization," Opt. Express 18, 14293-14300 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Agostini, F. Fabre, G. Mainfray, and G. Petite, “Free-Free Transitions Following Six-Photon Ionization of Xenon Atoms,” Phys. Rev. Lett. 42, 1127–1130 (1979). [CrossRef]
  2. C. I. Blaga, F. Catoire, P. Colosimo, G. G. Paulus, H. G. Muller, P. Agostini, and L. F. DiMauro, “Strong-field photoionization revisited,” Nat. Phys. 5, 335–338 (2009). [CrossRef]
  3. W. Quan, Z. Lin, M. Wu, H. Kang, H. Liu, X. Liu, J. Chen, J. Liu, X. T. He, S. G. Chen, H. Xiong, L. Guo, H. Xu, Y. Fu, Y. Cheng, and Z. Z. Xu, “Classical Aspects in Above-Threshold Ionization with a Mid-infrared Strong Laser Field,” Phys. Rev. Lett. 103, 093001 (2009). [CrossRef] [PubMed]
  4. A. Becker, and F. H. M. Faisal, “Intense-field many-body S-matrix theory,” J. Phys. B 38, R1–R56 (2005). [CrossRef]
  5. Q. Liao, P. X. Lu, P. F. Lan, W. Cao, and Y. H. Li, “Phase dependence of high-order above-threshold ionization in asymmetric molecules,” Phys. Rev. A 77, 013408 (2008). [CrossRef]
  6. P. B. Corkum, “Plasma Perspective Strong-Field Multiphoton Ionization,” Phys. Rev. Lett. 71, 1994–1997 (1993). [CrossRef] [PubMed]
  7. G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, “Rescattering effects in above-threshold ionization: a classical model,” J. Phys. B 27, L703–L708 (1994). [CrossRef]
  8. M. Lein, J. P. Marangos, and P. L. Knight, “Electron diffraction in above-threshold ionization of molecules,” Phys. Rev. A 66, 051404 (2002). [CrossRef]
  9. R. Moshammer, J. Ullrich, B. Feuerstein, D. Fischer, A. Dorn, C. D. Schröter, J. R. C. Lopez-Uremia, and C. Höher, “Rescattering of Ultralow-Energy Electrons for Single Ionization of Ne in the Tunneling Regime,” Phys. Rev. Lett. 91, 113002 (2003). [CrossRef] [PubMed]
  10. Y. M. Zhou, Q. Liao, and P. X. Lu, “Mechanism for high-energy electrons in nonsequential double ionization below the recollision-excitation threshold,” Phys. Rev. A 80, 023412 (2009). [CrossRef]
  11. J. Chen, and C. H. Nam, “Ion momentum distributions for He single and double ionization in strong laser fields,” Phys. Rev. A 66, 053415 (2002). [CrossRef]
  12. K. I. Dimitriou, D. G. Arbó, S. Yoshida, E. Persson, and J. Burgdöfer, “Origin of the double-peak structure in the momentum distribution of ionization of hydrogen atoms driven by strong laser fields,” Phys. Rev. A 70, 061401 (2004). [CrossRef]
  13. T. Brabec, M. Yu. Ivanov, and P. B. Corkum, “Coulomb focusing in intense field atomic processes,” Phys. Rev. A 54, R2551–R2554 (1996). [CrossRef] [PubMed]
  14. V. R. Bhardwaj, S. A. Aseyev, M. Mehendale, G. L. Yudin, D. M. Villeneuve, D. M. Rayner, M. Yu. Ivanov, and P. B. Corkum, “Few Cycle Dynamics of Multiphoton Double Ionization,” Phys. Rev. Lett. 86, 3522–3525 (2001). [CrossRef] [PubMed]
  15. D. Comtois, D. Zeidler, H. Pépin, J. C. Kieffer, D. M. Villeneuve, and P. B. Corkum, “Observation of Coulomb focusing in tunneling ionization of noble gases,” J. Phys. B 38, 1923–1933 (2005). [CrossRef]
  16. Z. J. Chen, T. Morishita, A. Le, M. Wickenhauser, X. M. Tong, and C. D. Lin, “Analysis of two-dimensional photoelectron momentum spectra and the effect of the long-range Coulomb potential in single ionization of atoms by intense lasers,” Phys. Rev. A 74, 053405 (2006). [CrossRef]
  17. M. D. Feit, J. A. Fleck, Jr., and A. Steiger, “Solution of the Schrödinger Equation by a Spectral Method,” J. Comput. Phys. 47, 412–433 (1982). [CrossRef]
  18. S. Chelkowski, C. Foisy, and A. D. Bandrauk, “Electron-nuclear dynamics of multiphoton H+ 2 dissociative ionization in intense laser fields,” Phys. Rev. A 57, 1176–1185 (1998). [CrossRef]
  19. X. M. Tong, K. Hino, and N. Toshima, “Phase-dependent atomic ionization in few-cycle intense laser fields,” Phys. Rev. A 74, 031405 (2006). [CrossRef]
  20. Q. Liao, P. X. Lu, Q. B. Zhang, W. Y. Hong, and Z. Y. Yang, “Phase-dependent nonsequential double ionization by few-cycle laser pulses,” J. Phys. B 41, 125601 (2008). [CrossRef]
  21. Q. Liao, P. X. Lu, Q. B. Zhang, Z. Y. Yang, and X. B. Wang, “Double ionization of HeH+ molecules in intense laser fields,” Opt. Express 16, 17070–17075 (2008). [CrossRef] [PubMed]
  22. Q. Liao, P. X. Lu, P. F. Lan, Z. Y. Yang, and Y. H. Li, “Method to precisely measure the phase of few-cycle laser pulses,” Opt. Express 16, 6455–6460 (2008). [CrossRef] [PubMed]
  23. A. Rudenko, K. Zrost, Th. Ergler, A. B. Voitkiv, B. Najjari, V. L. B. de Jesus, B. Feuerstein, C. D. Schröter, R. Moshammer, and J. Ullrich, “Coulomb singularity in the transverse momentum distribution for strong-field single ionization,” J. Phys. B 38, L191–L198 (2005). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited