Optical Solitons: Theoretical Challenges and Industrial Perspectives

1. Front Matter

   Pages I-XVII

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2. Fundamentals of Optical Soliton Theory in Fibers

   • A. Hasegawa

   Pages 1-18

3. Hamiltonian Theory of Bäcklund Transformations

   • V. G. Marikhin, A. B. Shabat

   Pages 19-29

4. Stability of Solitons

   • E. A. Kuznetsov

   Pages 31-50

5. Chaotic Dynamics of Optical Solitons

   • F. Kh. Abdullaev

   Pages 51-62

6. Variationalism and Empirio-Criticism. (Exact and Variational Approaches to Fibre Optics Equations)

   • A. V. Mikhailov

   Pages 63-71

7. Propagation of Optical Pulses in Nonlinear Systems with Varying Dispersion

   • V. E. Zakharov

   Pages 73-89

8. Dispersion-Managed Solitons

   • S. K. Turitsyn, N. J. Doran, J. H. B. Nijhof, V. K. Mezentsev, T. Schäfer, W. Forysiak

   Pages 91-115

9. Dispersion-Managed Solitons: Application to Terabit/s Transmission Over Transoceanic Distances

   • T. Georges

   Pages 117-146

10. Nonlinear Pulses in Ultra-Fast Optical Communications

    • V. Cautaerts, Y. Kodama, A. Maruta, H. Sugahara

    Pages 147-169

11. Soliton Wavelength-Division-Multiplexing Systems: From Numerical Design to Recirculating Loop Experiments

    • J.-P. Hamaide, B. Biotteau, F. Pitel, E. Desurvire

    Pages 171-182

12. Mode-Locked Fiber Ring Lasers and Fiber Ring Memories

    • H. A. Haus

    Pages 183-213

13. Modulational Instabilities in Passive Cavities: Theory and Experiment

    • M. Haelterman, S. Coen

    Pages 215-231

14. Recent Developments in the Theory of Optical Gap Solitons

    • S. Trillo, C. Conti, A. de Rossi, G. Assanto

    Pages 233-248

15. Vector Modulational Instabilities and Soliton Experiments

    • G. Millot, S. Pitois, E. Seve, P. Tchofo Dinda, P. Grelu, S. Wabnitz et al.

    Pages 249-263

16. Transient Raman Amplification

    • J. Leon, A. V. Mikhailov

    Pages 265-281

17. Self-Structuration of Three-Wave Dissipative Solitons in CW-Pumped Optical Cavities

    • C. Montes, A. Picozzi, M. Haelterman

    Pages 283-292

18. The Description of the Ultrashort Pulse Propagation in Non-Linear Media Under Quasi-Resonance Condition

    • A. I. Maimitsov

    Pages 293-312

19. Bright Spatial Soliton Interactions

    • G. I. Stegeman, M. Segev

    Pages 313-334

20. Spatial Solitons in Saturating Nonlinear Materials

    • B. Luther-Davies, V. Tikhonenko, J. Christou, W. Krolikowski, Y. Kivshar, N. Akmediev

    Pages 335-348

1 2 V. E. Zakharov and S. Wabnitz 1 L. D. Landau Institute for Theoretical Physics, 2 Kosygin Str. , 117334 Moscow, Russia 2 Laboratoire de Physique, University of Bourgogne, 9 avenue A. Savary, 21078 Dijon, France After about a quarter of a century since the first theoretical predictions of op­ tical solitons, the industrial application of the optical soliton concept is near to reality in the booming field of modern telecommunications, where the de­ mand for high-speed data transmission and routing is of ever-growing. This book contains a set of lectures that were presented at a Les Houches school on optical solitons in September 1998. The school was successful in gathering among the lecturers most of the well-recognized world leaders in the field of optical solitons. A variety of different aspects of research into optical solitons was exposed in the lectures, ranging from the mathematical fundations of integrability theory to the rapidly evolving technological advances of fiber soliton-based telecommu­ nication systems. The overall impression that the participants and the students received from the school is that this field of research is an excellent example of the rapid transfer that occurs nowadays from basic science to the technological implementations of the first principles. The subjects that were covered by the lectures can be broadly grouped into four main categories: optical soliton the­ ory, fiber soliton telecommunications, optical soliton generation methods, and all-optical information processing via spatial solitons.

• Dispersion
• Fibre Optics
• Modulation
• Solitons
• Transmission
• Wave Guides
• communication
• information
• laser
• nonlinear optics
• optical communication
• optics
• telecommunications

• L.D. Landau Institute for Theoretical Physics, Moscow, Russia

  V. E. Zakharov

• Laboratoire de Physique, University of Bourgogne, Dijon, France

  S. Wabnitz

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