Skip to main content

The Stimulated Raman Scattering System: A Numerical Study

  • Chapter
  • 266 Accesses

Part of the book series: NATO Science Series ((NAII,volume 45))

Abstract

We study numerically stimulated Raman scattering between an intense electromagnetic field and a polarizable medium. We consider the standard model and its regularized version which takes into account group velocity dispersion. The Raman energy transfer occurs on a finite distance for the latter and not the former. The inverse scattering theory on the half line can be developed for both systems, however, due to the above mentioned saturation, it is only useful for finite length propagations for the regularized model. In this case, we find the Raman solitons ie. poles in the upper complex plane of the reflection coefficient. Finally we study phase effects leading to Raman spikes and their possible applications to amplification of signal in optical fibers.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Allen and J. H. Eberly, Optical resonance and two-level atoms, Dover, (1987).

    Google Scholar 

  2. A.C. Newell and J.V. Moloney, Nonlinear Optics, Addison-Wesley Publishing Company, Redwood City, (1992).

    Google Scholar 

  3. V. E. Zakhaxov and A. B. Shabat, Sov. Phys. J.E.T.P., 34, 62, (1972).

    Google Scholar 

  4. G.P. Agrawal, Nonlinear Fiber Optics, (Academic Press, Inc., San Diego, Boston, 1995)

    Google Scholar 

  5. K. Drühl, R.G. Wenzel, J.L. Carlsten, Phys. Rev. Lett., 51 (1983) 1171; R.G. Wenzel, J.L. Carlsten, K. Drühl, J. Stat. Phys., 39 (1985) 621

    Article  Google Scholar 

  6. J. Leon, A.V. Mikhailov, Phys. Lett. A. 253 (1999) 33.

    Article  Google Scholar 

  7. M. Boiti, J.G. Caputo, J. Leon et F. Pempinelli, Inverse Problems, vol. 16, nb. 2, 303–315, (2000).

    Article  MATH  Google Scholar 

  8. R. F. Boyd, Nonlinear optics, Academic Press, (1992).

    Google Scholar 

  9. F. Chu and A. C. Scott, Phys. Rev. A, 12, nb. 5, 2060, (1975).

    Article  Google Scholar 

  10. A.S. Fokas and CR. Menyuk, J. Nonlinear Sci., 9 (1999) 1.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. C. Englund and C. M. Bowden, Phys. Rev. Lett. 57, 2661, (1986).

    Article  Google Scholar 

  12. C. Claude, F. Ginovart and J. Leon, Phys. Rev. A, 52, nb. 1, 767, (1995).

    Article  Google Scholar 

  13. D. Gakhovich, A. S. Grabchikov and V. Orlovich, Optics comm 102, 485, (1993).

    Article  Google Scholar 

  14. D. C. MacPherson, R. C. Swanson and J. L. Carlsten, Phys. Rev. A, 40, 6745, (1989).

    Article  Google Scholar 

  15. Self-similarity in stimulated Raman scattering, eds. D. Levi, CR. Menyuk, P. Winternitz, Les Publications CRM (Montreal 1994).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Caputo, J.G. (2001). The Stimulated Raman Scattering System: A Numerical Study. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0542-5_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0192-5

  • Online ISBN: 978-94-010-0542-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics