Skip to main content
SpringerLink
Log in

One-Dimensional Spatial Solitons in Kerr Media

  • Chapter
Spatial Solitons

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 82))

Summary

We give an overview of the experimental activity related to spatial solitons in Kerr or Kerr-like media. We review the results obtained in this area, starting from the early experiments up to the most recent achievements in semiconductors, discussing the formation, control, and application of solitons in one-dimensional structures.

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

Access this chapter

Log in via an institution
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.Y. Chiao, E. Garmire, C.H. Townes, Self-trapping of optical beams, Phys. Rev. Lett. 13, 479 (1964); V.I. Talanov, Izv. Vysshikh Uchebn. Zavendii, Radiofizika, 42, 1567 (1964) [Propagation of a short electromagnetic pulse in an active medium, Radiophysics 7, 25 (1964)].

    Google Scholar 

  2. V.E. Zakharov, A.B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Sov. Puys. JETP 34, 62 (1972).

    MathSciNet  ADS  Google Scholar 

  3. A. Hasegawa, F. Tappert, Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers: I. Anomalous dispersion, Appl. Phys. Lett. 23, 142 (1973).

    Google Scholar 

  4. G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, New Yorkm, 1989 ); M.N. Islam, Ultrafast Fiber Switching Devices and Systems ( Cambridge University Press, Cambridge 1992 ).

    Google Scholar 

  5. J.E. Bjorkholm, A. Ashkin, cw self-focusing and self-trapping of light in sodium vapor, Phys. Rev. Lett. 32, 129 (1974).

    Article  ADS  Google Scholar 

  6. A. Barthelemy, S. Maneuf, C. Froehly, Propagation soliton et auto-confinement de faisceaux laser par non linearite optique de Kerr, Opt. Commun. 55, 201 (1985).

    Article  ADS  Google Scholar 

  7. S. Maneuf, F. Reynaud, Quasi-steady state self-trapping of first, second and third order sub-nanosecond soliton beams, Opt. Commun. 66, 325 (1988).

    Article  ADS  Google Scholar 

  8. J.S. Aitchison, A.M. Weiner, Y. Silberberg, M.K. Oliver, J.L. Jackel, D.E. Leaird, E.M. Vogel, P.W. Smith, Observation of spatial optical solitons irr a nonlinear glass waveguide, Opt. Lett. 15, 471 (1990).

    Article  ADS  Google Scholar 

  9. J.S. Aitchison, A.M. Weiner. Y. Silberberg, D.E. Leaird, M.K. Oliver,.1.L. Jackel. P.W. Smith, Experimental observation of spatial soliton interactions, Opt. Lett. 16, 15 (1991).

    Article  ADS  Google Scholar 

  10. M. Shalaby. F. Reynaud, A. Barthelemy. Experimental observation of spatial soliton interactions with a π/2 relative phase difference, Opt. Lett. 17. 778 (1992).

    Article  ADS  Google Scholar 

  11. U. Bartuch, U. Peschel, T. Gabler, R. Waldhaus, 11.-H. Ilorhold, Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides. Opt. Commun. 134. 49 (1997).

    Article  ADS  Google Scholar 

  12. M. Warengheim, J.F. Henninot, G. Abbate, Non-linearly induced selfwaveguiding structure in dye doped nematic liquid crystals confined in capillaries, Opt. Express 2, 483 (1998); M.A. Karpierz, M. Sierakowski, M. Swillo, T. Wolinsky, Self-focusing in liquid crystalline waveguides, Mol. Cryst. Liq. Cryst. 320, 157 (1998).

    ADS  Google Scholar 

  13. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, I.C.Khoo, Electrically assisted self-confinement and waveguiding in planar nematic liquid crystal cells, Appl. Phys. Lett. 77, 7 (2000).

    Google Scholar 

  14. K. DeLong, G.I. Stegeman, Dispersion of the two photon absorption parameter for all-optical switching, Appl. Phys. Lett. 57, 2063 (1990).

    Google Scholar 

  15. G.I. Stegeman, A. Villeneuve, J.S Aitchison, C.N. Ironside, Nonlinear integrated optics and all-optical switching in semiconductors, in Fabrication, Properties and Applications of Low-Dimensional Semiconductors, ed. by M. Balkanski and I. Yancher, NATO ASI Series (Kluwer Academic, Dordrecht, pp. 415449, 1995); G.I. Stegeman, A. Villeneuve, J. Kang, J.S. Aitchison, C.N. Ironside, K. Al-Hemyari, C.C. Yang, C.-H. Lin, H.-H. Lin, G.T. Kennedy, R.S. Grant, W. Sibbett, A1GaAs below half bandgap: the silicon of nonlinear optical materials, Int. J. Nonlinear Opt. Phys. 3, 347 (1994)

    Google Scholar 

  16. A. Villeneuve, J.U. Kang, J.S. Aitchison, G.I. Stegeman, Cross-phase modulation in bulk A1GaAs and AIGaAs/GaAs multiple quantum wells, Appl. Phys. Lett. 67, 760 (1995).

    Google Scholar 

  17. D.C. Hutchings, J.S. Aitchison, B.S. Wherrett, G.T. Kennedy, W. Sibbett, Polarization dependence of ultrafast nonlinear refraction in an AIGaAs waveguide at the half-band gap, Opt. Lett. 20, 991 (1995).

    Article  ADS  Google Scholar 

  18. J.S. Aitchison, K. Al-Hemyari, C.N. Ironside, R.S. Grant, W. Sibbett, Observation of spatial solitons in A1GaAs waveguides, Electron. Lett. 28, 1879 (1992).

    Google Scholar 

  19. A. Villeneuve, J.S. Atichison, J.U. Kang, P.G. Wigley, G.I. Stegeman, Integrated ultrafast saturable absorber, Opt. Lett. 19, 761 (1994).

    Article  ADS  Google Scholar 

  20. J.S. Aitchison, J.U. Kang, G.I. Stegeman, Signal gain due to polarization coupling in an A1GaAs channel waveguide, Appl. Phys. Lett. 67, 2456 (1995).

    Google Scholar 

  21. G.I. Stegeman, P. Mamyshev, W. Torruellas, A. Villeneuve, J.S. Aitchison, Photonic applications of spatial soliton switches, Proc. SPIE 2481, 270 (1995).

    Google Scholar 

  22. J.U. Kang, G.I. Stegeman, J.S. Aitchison, Weak beam trapping by bright spatial solitons in an A1GaAs planar waveguide, Opt. Lett. 20, 2069 (1995).

    Article  ADS  Google Scholar 

  23. J.U. Kang, G.I. Stegeman, J.S. Aitchison, One-dimensional spatial soliton dragging, trapping and all-optical switching in A1GaAs waveguides, Opt. Lett. 21, 189 (1996).

    Article  ADS  Google Scholar 

  24. S.V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Sov. Phys. JETP 38, 248 (1974).

    ADS  Google Scholar 

  25. J.U. Kang, G.I. Stegeman, J.S. Aitchison, N. Akhmediev, Observation of Manakov spatial solitons in A1GaAs planar waveguides Phys. Rev. Lett. 76, 3699 (1996).

    Article  ADS  Google Scholar 

  26. N.N. Akhmediev. J.M. Soto-Crespo, Dynamics of soliton-like pulse propagation in birefringent optical fibers, Phys. Rev. E 49, 5742 (1994).

    Google Scholar 

  27. N.N. Akhmediev, A.V. Buryak, J.M. Soto-Crespo, D.R. Anderson, Phase-locked stationary soliton states in birefringent nonlinear optical fibers, J. Opt. Soc. Am. B 12, 434 (1995).

    Article  ADS  Google Scholar 

  28. L. Friedrich. G.I. Stegeman, J.M. Soto-Crespo, N.N. Akhmediev, J.S. Aitchison. Radiation related polarization instability of fast Kerr spatial solitons in slab waveguides, Opt. Commun. 186, 1786 (2000). (2000).

    Google Scholar 

  29. J.U. Kang, G.I. Stegeman, G. Hamilton, J.S. Aitchison, Robustness of spatial solitons in A1GaAs waveguides. Appl. Phys. Lett. 70, 1363 (1997).

    Article  ADS  Google Scholar 

  30. L. Friedrich, J.S. Aitchison, P. Millar, G.I. Stegeman, Dynamic, electronically controlled, angle steering of spatial solitons in A1GaAs slab waveguides, Opt. Lett. 23, 1438 (1998).

    Article  ADS  Google Scholar 

  31. L. Friedrich, G.I. Stegeman, P. Millar, J.S. Aitchison, 1 x 4 optical interconnect using electronically controlled angle steering of spatial solitons, Phot. Technol. Lett. 11, 988 (1999).

    Article  Google Scholar 

  32. M.J. Adams, D.A.O. Davies, M.C. Tatham, M.A. Fisher, Nonlinearities in seno-conductor laser amplifiers, Opt. Quantum Electron. 27, 1 (1995); J. Mark, A. Mecozzi, Theory of the ultrafast optical response of active semiconductor wave-guides, J. Opt. Soc. Am. B 13, 1803 (1996).

    Google Scholar 

  33. G. Khitrova, H.M. Gibbs, Y. Kawanmra, H. Iwarnura, T. Ikegami, J.E. Sipe, L. Ming, Spatial solitons in self-focusing semiconductor gain medium, Phys. Rev. Lett. 70, 920 (1993).

    Article  ADS  Google Scholar 

  34. C. Kutsche, P. LiKarnWa, J. Loehr, R. Kaspi, Quasi-CW self-guided optical beams in GaAs-A1GaAs double heterostructure slab waveguides, Electron. Lett. 34, 906 (1998).

    Google Scholar 

  35. J.M. Soto-Crespo, N. Akhmediev, A. Ankiewicz, Pulsating, creeping and erupting solitons in dissipative systems, Phys. Rev. Lett. 85, 2937 (2000).

    Article  ADS  Google Scholar 

  36. H.S. Eisenberg, Y. Silberberg, R. Morandotti, J.S. Aitchison, Diffraction management, Phys. Rev. Lett. 85, 1863 (2000).

    Article  ADS  Google Scholar 

  37. R. Morrandotti, H.S. Eisenberg, Y. Silberberg, M. Sorel, J.S. Aitchison, Self-focusing and defocusing waveguide arrays, submitted Phys Rev. Lett (2000).

    Google Scholar 

  38. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, J.S. Aitchison, Discrete spatial optical solitons in waveguide arrays, Phys. Rev. Lett. 81, 3383 (1998).

    Article  ADS  Google Scholar 

  39. R. Morandotti, U. Peschel, J.S. Aitchison, H.S. Eisenberg, Y. Silberberg, Dynamics of Discrete Solitons in Optical Waveguide Arrays, Phys. Rev. Lett. 83, 2726 (1999)

    Article  ADS  Google Scholar 

Download references

Authors
  1. Yaron Silberberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. George I. Stegeman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dipartimento di Ingeneria, University of Ferrara, Via Saragat 1, 44100, Ferrara, Italy

    Stefano Trillo

  2. Corvis Corporation, 7015 Albert Einstein Drive, P.O. Box 9400, 21046-9400, Columbia, MD, USA

    William Torruellas

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Silberberg, Y., Stegeman, G.I. (2001). One-Dimensional Spatial Solitons in Kerr Media. In: Trillo, S., Torruellas, W. (eds) Spatial Solitons. Springer Series in Optical Sciences, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44582-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-44582-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07498-1

  • Online ISBN: 978-3-540-44582-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation