Nonlinear guided wave optics : a testbed for extreme waves / edited by Stefan Wabnitz.

Περιλαμβάνει βιβλιογραφικές παραπομπές.

1. Extreme events in forced oscillatory media in zero, one and two dimensions -- 1.1. Introduction -- 1.2. Zero dimensions -- 1.3. One dimension -- 1.4. Two dimensions -- 1.5. Conclusion

2. Extreme waves in stimulated backscattering and frequency conversion processes -- 2.1. Introduction -- 2.2. Fundamental rogue wave solutions -- 2.3. Higher-order rogue wave solutions -- 2.4. Rogue wave solutions in the degenerate case -- 2.5. Rogue wave existence and baseband MI -- 2.6. Numerical simulations -- 2.7. Conclusions

3. Irreversibility and squeezing of shock waves -- 3.1. Introduction -- 3.2. Hydrodynamic approximation of dispersive shock waves -- 3.3. Highly non-local limit and irreversibility -- 3.4. Squeezing -- 3.5. Conclusions

4. Observation of the rupture of a photon dam in an optical fiber -- 4.1. Introduction -- 4.2. Theory of classic and dispersive dam breaking -- 4.3. Experiment -- 4.4. Conclusions

5. Instabilities and extreme events in all-normal dispersion mode-locked fibre lasers -- 5.1. Introduction -- 5.2. All-normal dispersion mode-locked fibre lasers -- 5.3. Stable mode-locking -- 5.4. Noise-like emission -- 5.5. Real-time measurements and extreme Raman fluctuations -- 5.6. Soliton explosions -- 5.7. Metastable dark solitons in radiation build-up dynamics -- 5.8. Conclusions

6. Extreme wave dynamics from incoherent dissipative solitons in fiber laser cavities -- 6.1. Introduction : the notion of incoherent dissipative solitons -- 6.2. Dissipative rogue waves from chaotic pulse bunching -- 6.3. Extreme vector waves -- 6.4. Conclusions

7. Ubiquitous nature of modulation instability : from periodic to localized perturbations -- 7.1. Introduction -- 7.2. Breather formalism -- 7.3. Experimental demonstrations -- 7.4. Localized noise-driven modulation instability -- 7.5. Conclusions

8. Rogue waves in photorefractive media -- 8.1. Introduction -- 8.2. Spatial rogue waves in photorefractive ferroelectrics -- 8.3. Optical instabilities and strong wave turbulence -- 8.4. Incoherence, saturation, and solitons in extreme waves -- 8.5. Future developments

9. Vector rogue waves driven by polarisation instabilities -- 9.1. Introduction -- 9.2. Bright and dark rogue waves in mode-locked fibre laser -- 9.3. Synchronisation and desynchronisation phenomena in a long cavity Er-doped fibre laser -- 9.4. Summary

10. Fundamental rogue waves and their superpositions in nonlinear integrable systems -- 10.1. Introduction -- 10.2. NLSE rogue waves -- 10.3. Splitting of higher-order rogue waves -- 10.4. Extended equation -- 10.5. Integrable extensions -- 10.6. Infinitely long NLSE extensions -- 10.7. Conclusions

11. Are rogue waves really rogue? -- 11.1. Introduction -- 11.2. Definition of rogue waves : predictability -- 11.3. Rogue waves in the multi-filament scenario -- 11.4. Comparison of the three different rogue wave supporting systems -- 11.5. Filament rogue waves -- 11.6. Predictability of rogue waves -- 11.7. Conclusion

12. Rogue waves in integrable turbulence : semi-classical theory and fast measurements -- 12.1. Introduction -- 12.2. Semi-classical limit of focusing 1D-NLSE and rogue waves -- 12.3. Integrable turbulence and the inverse scattering transform method -- 12.4. Experiments in optical fibers -- 12.5. Conclusion

13. Rogue wave formation in highly birefringent fiber -- 13.1. Introduction -- 13.2. Model and linear stability analysis -- 13.3. Statistical analysis of the RW in the highly birefringent fiber -- 13.4. Results in the normal dispersion regime -- 13.5. Results in a normal dispersion -- 13.6. Conclusion

14. Spatiotemporal nonlinear dynamics in multimode fibers -- 14.1. Introduction -- 14.2. Spatial beam self-cleaning -- 14.3. Theoretical models of spatiotemporal dynamics -- 14.4. Spatiotemporal instabilities -- 14.5. Supercontinuum generation

15. Noise-initiated dynamics in nonlinear fiber optics -- 15.1. Introduction -- 15.2. Modulation instability and breather solutions -- 15.3. Noise-driven modulation instability -- 15.4. Measuring chaotic dynamics in real time -- 15.5. Conclusions

16. Cavity soliton dynamics and rogue waves in driven Kerr cavities -- 16.1. Introduction -- 16.2. Spatiotemporal chaos in Lugiato-Lefever model -- 16.3. Cavity soliton dynamics and rogue waves in the delayed LLE -- 16.4. Conclusions.

Experiments and theory have rapidly progressed on nonlinear optical extreme waves, showing that guided wave nonlinear optics and fiber lasers provide a relatively simple, accessible and controllable test bed for the observations and accurate statistical studies of extreme wave phenomena that obey the same universal rules, which apply to a large ensemble of different physical systems. With introductory material to make the subject area accessible to non-specialists such as graduate and PhD students, and researchers working in other areas where extreme waves are relevant, this book features contributions by prominent scientists in this emerging field and is a comprehensive treatment of optical extreme wave research.