Skip to main content

Connection between Ikeda Instability and Phase Conjugation

  • Chapter
Optical Bistability 2

Abstract

Period-doubling to chaos and phase conjugation are two nonlinear optical phenomena which have attracted enormous but largely independent interest in recent years. In this paper we establish a close connection between the two phenomena, both being forms of near-degenerate four-wave mixing. We also report a new and rather unexpected feature of the Ikeda problem: the existence of a stable 3tR oscillation below the period-doubling threshold.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a review with a tutorial approach see E. Abraham and S.D. Smith, Rep. Prog. Phys. 45, 815 (1982).

    Article  ADS  Google Scholar 

  2. K. Ikeda, Opt. Comm, 30, 257 (1979)

    Article  ADS  Google Scholar 

  3. K. Ikeda, H. Daido, and O. Akimoto, Phys. Rev. Lett. 45, 709 (1980).

    Article  ADS  Google Scholar 

  4. H.M. Gibbs, F.A. Hopf, D.L. Kaplan and R.L. Shoemaker, Phys. Rev. Lett. 46, 474 (1981).

    Article  ADS  Google Scholar 

  5. W.J. Firth, Opt. Coram. 39, 343 (1981).

    Article  ADS  Google Scholar 

  6. E. Abraham, W.J. Firth and J. Carr, Phys. Lett 91A, 47 (1982)

    ADS  Google Scholar 

  7. E. Abraham and W.J. Firth, Optica Acta (to appear).

    Google Scholar 

  8. H.J. Carmichael, R.R. Snapp and W.C. Schieve, Phys. Rev. A26, 3408 (1982).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Plenum Press, New York

About this chapter

Cite this chapter

Firth, W.J., Wright, E.M., Cummins, E.J.D. (1984). Connection between Ikeda Instability and Phase Conjugation. In: Bowden, C.M., Gibbs, H.M., McCall, S.L. (eds) Optical Bistability 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-4718-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-4718-7_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-4720-0

  • Online ISBN: 978-1-4684-4718-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics