Skip to main content

Pattern formation and phase turbulence in the transverse section of lasers

  • Chapter
Instabilities and Nonequilibrium Structures V

Part of the book series: Nonlinear Phenomena and Complex Systems ((NOPH,volume 1))

  • 116 Accesses

Abstract

The transverse pattern dynamics in a laser with large Fresnel number are often governed by two relatively independent but simultaneous instabilities. One leads at “turbulent” state (uncorrelated in space and time) through modulation, principally of the phase of the field while the other yields a periodic modulation in space and time. The measured electric field amplitude is modulated by both effects. As consequence the laser intensity is locally chaotic on short time scales but the time average intensity patterns retains the global symmetry of the system. We compare our studies of the Maxwell-Bloch equations with recent experimental results.

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. P. Manneville,“Dissipative structures and weak turbulence”’>Acad. Press. (1990); (1990); G. Nicolis and I. Prigogine, “Self-organization in nonequilibrium systems, from dissipative structures to order through fluctuation”, Wiley (1977); M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).

    Google Scholar 

  2. G. Nicolis and I. Prigogine, “Self-organization in nonequilibrium systems, from dissipative structures to order through fluctuation”, Wiley (1977);

    Google Scholar 

  3. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).

    Article  ADS  Google Scholar 

  4. W.W. Rigrod, Appl. Phys. Lett. 2, 51 (1963)

    Article  ADS  Google Scholar 

  5. P. Goldsborough, Appl.Opt. 3, 267 (1964).

    Article  ADS  Google Scholar 

  6. N.B. Abraham and W. Firth, J.Opt. Soc. Am. B 7, 951 (1990).

    ADS  Google Scholar 

  7. C. Green, G.B. Mindlin, E.J. D’Angelo, H.G. Solari and J.R. Tredicce, Phys. Rev. Lett. 65, 3124 (1990).

    Article  ADS  Google Scholar 

  8. E.J. D’Angelo, E. Izaguirre, G.B. Mindlin, G. Huyet, L. Gil and J.R. Tredicce, Phys. Rev. Lett. 68, 3702 (1992).

    Article  ADS  Google Scholar 

  9. G. Huyet, M.C. Martinoni, S. Rica and J.R. Tredicce, Submitted to Phys. Rev. Lett., November 1994.

    Google Scholar 

  10. D. Dangoise, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, Phys. Rev. A 46, 5955 (1992).

    Article  ADS  Google Scholar 

  11. P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).

    Article  ADS  Google Scholar 

  12. G.L. Oppo, G. D’Alessandro, and W.J. Firth, Phys. Rev. A 44, 4712, (1991).

    ADS  Google Scholar 

  13. Q. Feng, J.V. Moloney, and A.C. Newell, Phys. Rev. Lett. 71, 1705 (1993).

    Article  ADS  Google Scholar 

  14. F.T. Arecchi, II Nuovo Cimento 107A, 1111 (1994).

    Article  ADS  Google Scholar 

  15. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 55, 356 (1976)

    Article  ADS  Google Scholar 

  16. G.I. Shivasinsky, Acta Astronautica 4 1177 (1977); see also

    Article  MathSciNet  Google Scholar 

  17. Y. KuramotoChemical Oscillations waves and turbulenceSpringer (1984).

    Book  MATH  Google Scholar 

  18. For lasers the KS equation has been introduced by R. Lefever, L.A. Lugiato, W. Kaige, N.B. Abraham and P. Mandel, Phys. Lett. A 135, 254 (1989).

    Article  ADS  Google Scholar 

  19. J. Swift and P.C. Hohenberg, Phys. Rev. A 15, 319 (1977).

    Article  ADS  Google Scholar 

  20. P. Manneville, Phys. Lett. A 84, 129 (1981)

    Article  MathSciNet  Google Scholar 

  21. Y. Pomeau, A. Pumir and P. Pelce, Stat. Phys. 37, 39 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  22. G. I. Shivasinsky, Ann. Rev. Fluid Mech. 15, 179 (1983) for the 2D case.

    Article  ADS  Google Scholar 

  23. P. Chossat and M. Golubitsky, Physica 32 D, 423 (1988).

    MathSciNet  MATH  Google Scholar 

  24. B.J. Gluckman, P. Marcq, J. Bridger, and J.P. Gollub, Phys. Rev. Lett. 71, 2034 (1993).

    Article  ADS  Google Scholar 

  25. L. Ning, Y. Hu, R. Ecke, and G. Ahlers, Phys. Rev. Lett. 71, 2216 (1993).

    Article  ADS  Google Scholar 

  26. As an example, for the numerical values of FIG. 2 we obtain H ~ {6 – 6C}; 0, = 0.3304K;V = 0.7674K; a = K(0.0480 – «0.1596) k aql/2 = 0.3650.

    Google Scholar 

  27. A.C. Newell and J.V. Moloney, Nonlinear Optics, Addison-Wesley, Redwood City, CA, (1992).

    Google Scholar 

  28. A.C. Newell and Y. Pomeau, J. Phys. A: Math. Gen. 26 L429 (1993).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Huyet, G., Rica, S. (1996). Pattern formation and phase turbulence in the transverse section of lasers. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures V. Nonlinear Phenomena and Complex Systems, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0239-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0239-8_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6590-0

  • Online ISBN: 978-94-009-0239-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics