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)

Abstract

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.

Keywords

Boulder 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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

Personalised recommendations