Dynamics of ultrashort pulses near zero dispersion wavelength

Journal of the Optical Society of America B: Optical Physics

Volumn 23, Issue 11, 2006, Pages 2425-2433

  Tsoy, Eduard N ^a,b   de Sterke, C Martijn ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b S YU YUNUSOV INSTITUTE OF THE CHEMISTRY OF PLANT SUBSTANCES   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); OPTICAL FIBERS; RAMAN SCATTERING; SOLITONS;

SELF-STEEPENING; SUPERCONTINUUM GENERATION; THIRD-ORDER DISPERSION;

ULTRASHORT PULSES;

EID: 33845995111     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.23.002425     Document Type: Article

References (34)

1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).
2. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).
3. A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).
4. See, for example, R. R. Alfano, ed., The Supercontinuum Laser Source (Springer-Verlag, 1989).
5. See, for example, the special issue on supercontinuum generation, Appl. Phys. B 77, A. Zheltikov, ed. (2003).
6. J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air silica microstructure optical fibers with anomalous dispersion at 800 nm," Opt. Lett. 25, 25-27 (2000).
7. A. V. Husakou and J. Herrmann, "Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers," Phys. Rev. Lett. 87, 203901 (2001).
8. J. M. Dudley, L. Provino, N. Grossard, H. Maillotte, R. S. Windeler, B. J. Eggleton, and S. Coen, "Supercontinuum generation in air-silica microstructured fibers with nanosecond and femtosecond pulse pumping," J. Opt. Soc. Am. B 19, 765-771 (2002).
9. A. Fuerbach, P. Steinvurzel, J. A. Bolger, and B. J. Eggleton, "Nonlinear pulse propagation at zero dispersion wavelength in anti-resonant photonic crystal fibers," Opt. Express 13, 2977-2987 (2005).
10. R. K. A. Wai, C. R. Menyuk, Y. C. Lee, and H. H. Chen, "Nonlinear pulse-propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers," Opt. Lett. 11, 464-466 (1986).
11. F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).
12. J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).
13. Yu. Kodama and A. Hasegawa, "Nonlinear pulse-propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).
14. K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman-scattering in optical fibers," IEEE J. Quantum Electron. 25, 2665-2673 (1989).
15. J. N. Elgin, T. Brabec, and S. M. J. Kelly, "A perturbative theory of soliton propagation in the presence of third-order dispersion," Opt. Commun. 114, 321-328 (1995).
16. T. P. Horikis and J. N. Elgin, "Soliton radiation in an optical fiber," J. Opt. Soc. Am. B 18, 913-918 (2001).
17. W. Zhao and E. Bourkoff, "Femtosecond pulse-propagation in optical fibers: higher-order effects," IEEE J. Quantum Electron. 24, 365-372 (1987).
18. D. J. Frantzeskakis, K Hizanidis, G. S. Tombras, and I. Bella, "Nonlinear dynamics of femtosecond optical solitary wave-propagation at the zero dispersion point," IEEE J. Quantum Electron. 31, 183-189 (1995).
19. A. Ankiewicz, "Simplified description of soliton perturbation and interaction using averaged complex potentials," J. Nonlinear Opt. Phys. Mater. 4, 857-870 (1995).
20. M. Golles, I. M. Uzunov, and F. Lederer, "Break up of N-soliton bound states due to intrapulse Raman scattering and third order dispersion - an eigenvalue analysis," Phys. Lett. A 231, 195-200 (1997).
21. V. I. Karpman, "Radiation of solitons described by a high-order cubic nonlinear Schrödinger equation," Phys. Rev. E 62, 5678-5687 (2000).
22. D. V. Skryabin, F. Luan, J. C. Knight, and P. St. J. Russell, "Soliton self-frequency shift cancelation in photonic crystal fibers," Science 301, 1705-1708 (2003).
23. F. Biancalana, D. V. Skryabin, and A. V. Yulin, "Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers," Phys. Rev. E 70, 016615 (2004).
24. A. I. Maimistov, "Evolution of single waves close to solitons of Schrödinger nonlinear equation," J. Exp. Theor. Phys. 77, 727 (1993) [Zh. Eksp. Teor. Fiz. 104, 3620-3629 (1993)].
25. E. N. Tsoy, A. Ankiewicz, and N. Akhmediev, "Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation," Phys. Rev. E 73, 036621 (2006).
26. W. L. Kath and N. F. Smith, "Soliton evolution and radiation loss for the nonlinear Schrödinger equation," Phys. Rev. E 51, 1484-1492 (1995).
27. D. J. Kaup and A. C. Newell, "Exact solution for a derivative non-linear Schrödinger equation," J. Math. Phys. 19, 798-801 (1978).
28. See, for example, B. A. Malomed, "Variational methods in nonlinear fiber optics and related fields," Prog. Opt. Vol. 43, (Elsevier, 2002), pp. 71-193, and references therein.
29. F. Kh. Abdullaev and J. G. Caputo, "Validation of the variational approach for chirped pulses in fibers with periodic dispersion," Phys. Rev. E 58, 6637-6648 (1998).
30. Goldstein, Classical Mechanics (Addison-Wesley, 1980).
31. J. Satsuma and N. Yajima, "Initial value-problems of one-dimensional self-modulation of nonlinear waves in dispersive media," Prog. Theor. Phys. Suppl. 55, 284-306 (1974).
32. A. Efimov, A. J. Taylor, F. G. Omenetto, A. V. Yulin, N. Y. Joly, F. Biancalana, D. V. Skryabin, J. C. Knight, and P. S. J. Russell, "Time-spectrally-resolved ultrafast nonlinear dynamics in small-core photonic crystal fibers: experiment and modelling," Opt. Express 12, 6498-6507 (2004).
33. K. M. Hilligsøe, T. V. Andersen, H. N. Paulsen, C. K. Nielsen, K. Mølmer, S. Keiding, R. Kristiansen, K. P. Hansen, and J. J. Larsen, "Supercontinuum generation in a photonic crystal fiber with two zero dispersion wavelengths," Opt. Express 12, 1045-1054 (2004).
34. M. H. Frosz, P. Falk, and O. Bang, "The role of the second zero-dispersion wavelength in generation of supercontinua and bright-bright soliton-pairs across the zero-dispersion wavelength," Opt. Express 13, 6181-6192 (2005).