Foundations of Physics

, Volume 28, Issue 4, pp 653–665 | Cite as

Nonrelativistic Strong-Field Photoionization without Making the Dipole Approximation

  • Yousef I. Salamin


Within the context of the time-reversed S-matrix approach to photoionization, and employing a recently proposed strong-field solution to the Schrödinger equation, analytic expressions for the atomic photoionization rates are obtained here without using the dipole approximation. We show that the absorbed photon momentum shows up as a forward-directed momentum component for the photoelectron. All the expressions reported in this work have the correct limits when the dipole approximation is used.


Dipole Approximation Momentum Component Photon Momentum Correct Limit Photoionization Rate 
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  1. 1.
    L. V. Keldysh, Zh. Eskp. Teor. Fiz. 47, 1945 (1964) [Sov. Phys. JETP 20, 1307 (1965) ].Google Scholar
  2. 2.
    F. H. M. Faisal, J. Phys. B: At. Mol. Phys. 6, L89 (1973).Google Scholar
  3. 3.
    H. R. Reiss, Phys. Rev. A 1, 803 (1970).Google Scholar
  4. 4.
    H. R. Reiss, Prog. Quantum Electron. 16, 1 (1992).Google Scholar
  5. 5.
    H. R. Reiss, J. Opt. Soc. Am. B 7, 574 (1990).Google Scholar
  6. 6.
    M. Frasca, Phys. Rev. A 45, 43 (1992).Google Scholar
  7. 7.
    Y. I. Salamin, J. Phys. A: Math. Gen. 28, 1129 (1995).Google Scholar
  8. 8.
    R. R. Freeman and P. H. Bucksbaum, J. Phys. B 24, 325 (1991).Google Scholar
  9. 9.
    P Milonni, Phys. Rev. A 45, 2138 (1992).Google Scholar
  10. 10.
    H. R. Reiss, Phys. Rev. A 45, 2140 (1992).Google Scholar
  11. 11.
    H. R. Reiss, Phys. Rev. A 22, 1786 (1980).Google Scholar
  12. 12.
    Z. W. Liu and H. P. Kelly, Phys. Rev. A 47, 1460 (1993).Google Scholar
  13. 13.
    H. R. Reiss, Phys. Rev. A 42, 1476 (1990).Google Scholar
  14. 14.
    H. R. Reiss, Phys. Rev. A 46, 391 (1992).Google Scholar
  15. 15.
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Course on Theoretical Physics, Vol. 3 (Pergamon, 1965).Google Scholar
  16. 16.
    H. R. Reiss, Phys. Rev. A 45, 2140 (1992).Google Scholar
  17. 17.
    F. H. M. Faisal, Theory of Multiphoton Processes (Plenum, New York, 1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Yousef I. Salamin

There are no affiliations available

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