Skip to main content

Propagation of Short Optical Pulses in Nonlinear Planar Waveguides — Pulse Compression and Soliton-Like Solutions

  • Chapter
Soliton-driven Photonics

Part of the book series: NATO Science Series ((NAII,volume 31))

  • 362 Accesses

Abstract

Simultaneous propagation of two optical pulses in Kerr type planar waveguides is considered. It is assumed that pulses propagate in different dispersion regimes: anomalous and normal. Such effects as catastrophic self-focusing, spatio-temporal splitting, and a possibility of a formation of soliton-like solutions axe examined. It is discussed whether such a configuration could be used for compression or switching of pulses.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, D. and Bonnedal, M. (1979) Variational approach to nonlinear self-focusing of gaussian laser beams, Phys. Fluids 22, 105.

    Article  MathSciNet  ADS  Google Scholar 

  2. Agrawal, G. P. (1989) Nonlinear Fiber Optics, Academic Press, London.

    Google Scholar 

  3. Rasmussen, J. J. and Rypdal, K. (1986) Blow-up in nonlinear schrödniger equations — I. a general review, Physica Scrypta 33, 481.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Vlasov, S. N., Petrishchev, V. A., and Talanov, V. I. (1971) Averaged description of wave beams in linear and nonlinear media, Izv. Vuz Radiofiz. 14, 1353.

    Google Scholar 

  5. Cao, X. D., Agrawal, G. P., and McKinstrie, C. J. (1994) Self-focusing of chirped optical pulses in nonlinear dispersive media, Phys. Rev. A 49, 4085.

    Article  ADS  Google Scholar 

  6. Desaix, M., Anderson, D., and Lisak, M. (1991) Variational approach to collapse of optical pulses, J. Opt. Soc. Am. B 8, 2082.

    Article  ADS  Google Scholar 

  7. Manassah J. T., Baldeck P. L., and Alfano, R. R. (1988) Self-focusing, self-phase modulation, and diffraction in bulk homogeneous material, Opt. Lett. 13, 1090.

    Article  ADS  Google Scholar 

  8. Silberberg, Y. (1990) Collapse of optical pulses, Opt. Lett. 15, 1282.

    Article  ADS  Google Scholar 

  9. Pietrzyk, M. E. (1999) On the properties of two pulses propagating simultaneously in different dispersion regimes in a nonlinear planar waveguide, J. Opt. A: Pure and Appl. Opt 1, 685.

    Article  ADS  Google Scholar 

  10. Chernev, P. and V. Petrov, V. (1992) Self-focusing of short pulses in dispersive media, Opt. Commun. 87, 28.

    Article  ADS  Google Scholar 

  11. Berkshire, F. H. and Gibbon, J. D. (1983) Collapse in the n-dimensional nonlinear Schrödinger equation — a parallel with sundman’s results in the n-body problem, Stud. Applied Math. 69, 229.

    MathSciNet  MATH  Google Scholar 

  12. Petrova, T. A., Sergeev, A. M., and Yunakovskii, A. D. (1993) A nonlinear wave effect in plasmas, Sov. J. Plasma Phys. 9, 287.

    Google Scholar 

  13. Pietrzyk, M. E. (2000) Models of picosecond light propagation in nonlinear planar waveguides of kerr-type, PhD thesis, Warsaw University of Technology, Warsaw 2000, (in Polish).

    Google Scholar 

  14. Gross, B. and Manassah, J. T. (1996) Effects of spatio-temporal coupling on pulse propagation in nonlinear defocusing medium, Opt. Commun. 126, 269.

    Article  ADS  Google Scholar 

  15. Pietrzyk, M. (1997) Numerical study on space-time pulse compression, Opt. Quant. Electr. 29, 579.

    Article  Google Scholar 

  16. Zakharov, V. E. and Shabat, A. B. (1971) Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Zh. Exp. Teor. Fiz. 61, 118.

    Google Scholar 

  17. Karlsson, M. (1992) Optical beams in saturable self-focusing media, Phys. Rev. A 46, 2726.

    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

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Pietrzyk, M.E. (2001). Propagation of Short Optical Pulses in Nonlinear Planar Waveguides — Pulse Compression and Soliton-Like Solutions. In: Boardman, A.D., Sukhorukov, A.P. (eds) Soliton-driven Photonics. NATO Science Series, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0682-8_27

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0682-8_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7131-1

  • Online ISBN: 978-94-010-0682-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics