Correcting the Failure of the Slowly Varying Amplitude Approximation for Short Pulses

  • Deborah Alterman
  • Jeffrey Rauch
Conference paper
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 66)


The slowly varying amplitude assumption, a useful simplification, is invalid for few cycle pulses. We offer a rigorously justified alternative, valid for short pulses, which leads to qualitatively different behaviors.


Short Pulse Cycle Pulse Order Differential Operator Ultrafast Laser Plane Wave Solution 
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  1. 1.
    R. W. Ziolkowski: Phys. Rev. A 39 (1989)Google Scholar
  2. 2.
    R. W. Hellwarth, P. Nouchi: Phys. Rev. E 54 (1996)Google Scholar
  3. 3.
    C. V. Hile, W. L. Kath: J. Opt. Soc. Am. B 13 (1996)Google Scholar
  4. 4.
    S. Feng, H. G. Winful, R. W. Hellwarth: Phys. Rev. E 59 (1999)Google Scholar
  5. 5.
    J. E. Rothenberg: Opt. Lett. 11 (1992)Google Scholar
  6. 6.
    E. Esarey, P. Sprangle, M. Pilloff, J. Krall: J. Opt. Soc. Am. B 12 (1995)Google Scholar
  7. 7.
    T. Brabec, F. Krausz: Phys. Rev. Lett. 18 (1997)Google Scholar
  8. 8.
    M. A. Porras: Phys. Rev. E 58 (1998)Google Scholar
  9. 9.
    A. E. Kaplan: J. Opt. Soc. Am. B 15 (1998)Google Scholar
  10. 10.
    J. K. Ranka, A. L. Gaeta: Opt. Lett. 23 (1998)Google Scholar
  11. 11.
    D. Alterman, J. Rauch: Phys. Lett. A 264 (2000)Google Scholar
  12. 12.
    Z. Jiang, X.-C. Zhang: Opt. Express 5 (1999)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Deborah Alterman
    • 1
  • Jeffrey Rauch
    • 2
  1. 1.Dept. of Applied MathematicsUniversity of ColoradoBoulderUSA
  2. 2.Dept. of MathematicsUniversity of Michigan, Ann ArborUSA

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