Advertisement

Instabilities in the Propagation of Arbitrarily Polarized Counterpropagating Waves in a Nonlinear Kerr Medium

  • A. L. Gaeta
  • R. W. Boyd
  • P. W. Milonni
  • J. R. Ackerhalt
Part of the Springer Proceedings in Physics book series (SPPHY, volume 8)

Abstract

The stability of strong optical waves counterpropagating in a nonlinear optical material has important implications for nonlinear optical processes such as optical bistability and phase conjugation. Nonlinear Kerr media are perhaps the simplest nonlinear optical material to model, yet the interaction of light waves in these materials can exhibit very rich and complicated behavior [1–5]. SILBERBERG and BAR-JOSEPH [3] have predicted that the output intensities of two strong waves with parallel polarization, counterpropagating in a nonlinear Kerr medium with finite response time, can show oscillatory as well as chaotic behavior. KAPLAN and LAW [5] have recently demonstrated that multistable polarization states are possible in the steady-state outputs of two counterpropagating vector fields in a nonlinear Kerr medium with an infinitely fast response time. This complicated steady-state behavior has motivated us to study the time dependence of the output polarizations of counterpropagating vector fields in a nonlinear Kerr medium. The inclusion of temporal effects enables us to study theoretically the stability of the polarization of the transmitted waves in order to determine whether oscillatory, hysteretic, or chaotic behavior occurs. In this paper, we present numerical results that demonstrate the existence of hysteretic bistability in the output polarizations.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H.G. Winful and J.H. Marburger, Appl. Phys. Lett. 36, 613 (1980).ADSCrossRefGoogle Scholar
  2. 2.
    R. Lytel, J. Opt. Soc. Am. B 1, 91 (1984).Google Scholar
  3. 3.
    Y. Silberberg and I. Bar-Joseph, J. Opt. Soc. Am. B 1, 662 (1984).ADSCrossRefGoogle Scholar
  4. 4.
    A.E. Kaplan, Opt. Lett. 8, 560 (1983).ADSCrossRefGoogle Scholar
  5. 5.
    A.E. Kaplan and C.T. Law, IEEE J. Quantum Electron., to be published.Google Scholar
  6. 6.
    P.D. Maker and R.W. Terhune, Phys. Rev. A 137, 801 (1965).ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • A. L. Gaeta
    • 1
  • R. W. Boyd
    • 1
  • P. W. Milonni
    • 1
  • J. R. Ackerhalt
    • 2
  1. 1.Institute of OpticsUniversity of RochesterRochesterUSA
  2. 2.Los Alamos National LaboratoryLos AlamosUSA

Personalised recommendations