Adiabatic Following in Two-Photon Transition

  • Munir H. Nayfeh
  • Ali H. Nayfeh
Conference paper


Renewed interest has been generated recently in coherent multiphoton transitions in many-level systems [1–5]. Coherent two-photon propagations, exhibiting self-induced transparency when twice the propagating frequency is resonant with a two-level system, have been analyzed [1,2], and the one- and two-photon resonant fields were shown to obey together an area theorem [2]. Tan-no et al. [3] reported the observation of coherent propagations based on a two-photon transition which involved the interaction of two optical pulses of different frequencies with a gaseous three-level system. Further, self-transparency in a resonant two-photon absorption with a two-level system was observed [4]. In this work, we consider the effect of relaxation on the response of a three-level system to a smoothly varying, near resonant, two-photon field.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E.M. Belenov and I.A. Polucktov, Sov. Phys. -JETP 29, 754 (1969).ADSGoogle Scholar
  2. 2.
    M. Takatsuji, Phys. Rev. A 4, 808 (1971).ADSCrossRefGoogle Scholar
  3. 3.
    N. Tan-no, K. Yokoto and H. Inaba, Phys. Rev. Lett. 29, 1211 (1972).ADSCrossRefGoogle Scholar
  4. 4.
    T.L. Gvardzhaladze, A.Z. Grasyuk and V.A. Kovalenko, Sov. Phys. - JETP 37, 227 (1973).ADSGoogle Scholar
  5. 5.
    N. Tan-no, K. Yokoto and H. Inaba, J. Phys. B 8, 339 (1975).ADSCrossRefGoogle Scholar
  6. 6.
    D. Grischkowsky, M.M.T. Loy and P.F. Liao, Phys. Rev. A 12, 2514 (1975).ADSCrossRefGoogle Scholar
  7. 7.
    A.H. Nayfeh, Perturbation Methods (Wiley-Interscience, New York, 1973) Chap. 6.Google Scholar
  8. 8.
    M.G. Payne and M.H. Nayfeh, Phys. Rev. A 13, 595 (1976).ADSCrossRefGoogle Scholar
  9. 9.
    M.H. Nayfeh, Phys. Rev. A 14, 1304 (1976).ADSCrossRefGoogle Scholar
  10. 10.
    M.H. Nayfeh and A.H. Nayfeh, Phys. Rev. A 15, 1169 (1977).ADSCrossRefGoogle Scholar
  11. 11.
    R.H. Lehmberg and J. Reintjes, Phys. Rev. A 12, 2574 (1975).Google Scholar
  12. 12.
    M.H. Nayfeh and A.H. Nayfeh, J. Appl. Phys. 47, 2528 (1976).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Munir H. Nayfeh
    • 1
  • Ali H. Nayfeh
    • 2
  1. 1.University of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Virginia Polytechnic Institute and State UniversityBlacksburgUSA

Personalised recommendations