Resolving the Raman-induced cross frequency shift in fast optical soliton collisions

Journal of the Optical Society of America B: Optical Physics

Volumn 27, Issue 10, 2010, Pages 1985-1990

  Nguyen, Quan M ^a   Peleg, Avner ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY SHIFT KEYING; PERTURBATION TECHNIQUES; TIMING JITTER;

ADIABATIC PERTURBATIONS; FREQUENCY SHIFT; HIGH RESOLUTION; NUMERICAL GRIDS; NUMERICAL INVESTIGATIONS; NUMERICAL SIMULATION; OPTICAL SOLITON; RADIATION-INDUCED; RAMAN RESPONSE;

SOLITONS;

EID: 77957886051     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.27.001985     Document Type: Article

References (39)

1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).
2. F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).
3. J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).
4. Y. Kodama and A. Hasegawa, "Nonlinear pulse propagation in a monomode dielectric guide," IEEE J. Quantum Electron. 23, 510-524 (1987).
5. F. Luan, D. V. Skryabin, A. V. Yulin, and J. C. Knight, "Energy exchange between colliding solitons in photonic crystal fibers," Opt. Express 14, 9844-9853 (2006).
6. M. H. Frosz, O. Bang, and A. Bjarklev, "Soliton collision and Raman gain regimes in continuous-wave pumped supercontinuum generation," Opt. Express 14, 9391-9407 (2006).
7. N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello- Jiménez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond-long pulses," Opt. Express 16, 2636-2645 (2008).
8. G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
9. A. Efimov, A. J. Taylor, F. G. Omenetto, and E. Vanin, "Adaptive control of femtosecond soliton self-frequency shift in fibers," Opt. Lett. 29, 271-273 (2004).
10. A. Hause and F. Mitschke, "Reduced soliton interaction by Raman self-frequency-shift," Phys. Rev. A 80, 063824 (2009).
11. M. N. Islam, ed., Raman Amplifiers for Telecommunications 1: Physical Principles (Springer, 2004).
12. C. Headley and G. P. Agrawal, eds., Raman Amplification in Fiber Optical Communication Systems (Elsevier, 2005).
13. A. R. Chraplyvy, "Optical power limits in multichannel wavelength-division- multiplexed systems due to stimulated Raman scattering," Electron. Lett. 20, 58-59 (1984).
14. F. Forghieri, R. W. Tkach, and A. R. Chraplyvy, "Effect of modulation statistics on Raman crosstalk in WDM systems," IEEE Photon. Technol. Lett. 7, 101-103 (1995).
15. K.-P. Ho, "Statistical properties of stimulated Raman crosstalk in WDM systems," J. Lightwave Technol. 18, 915-921 (2000).
16. M. Muktoyuk and S. Kumar, "Noise variance due to stimulated Raman scattering among channels of a wavelengthdivision- multiplexed system," IEEE Photon. Technol. Lett. 15, 1222-1224 (2003).
17. A. Peleg, "Intermittent dynamics, strong correlations, and bit-error-rate in multichannel optical fiber communication systems," Phys. Lett. A 360, 533-538 (2007).
18. Y. Chung and A. Peleg, "Monte Carlo simulations of pulse propagation in massive multichannel optical fiber communication systems," Phys. Rev. A 77, 063835 (2008).
19. T. Yamamoto and S. Norimatsu, "Statistical analysis on stimulated Raman crosstalk in dispersion-managed fiber links," J. Lightwave Technol. 21, 2229-2239 (2003).
20. Y. Chung and A. Peleg, "Strongly non-Gaussian statistics of optical soliton parameters due to collisions in the presence of delayed Raman response," Nonlinearity 18, 1555-1574 (2005).
21. A. Peleg, "Log-normal distribution of pulse amplitudes due to Raman cross talk in wavelength division multiplexing soliton transmission," Opt. Lett. 29, 1980-1982 (2004).
22. A. Peleg, "Energy exchange in fast optical soliton collisions as a random cascade model," Phys. Lett. A 373, 2734-2738 (2009).
23. M. Olivier, V. Roy, and M. Pichè, "Influence of the Raman effect on bound states of dissipative solitons," Opt. Express 14, 9728-9742 (2006).
24. S. Chi and S. Wen, "Raman cross talk of soliton collision in a lossless fiber," Opt. Lett. 14, 1216-1218 (1989).
25. S. Kumar, "Influence of Raman effects in wavelengthdivision multiplexed soliton systems," Opt. Lett. 23, 1450-1452 (1998).
26. T. I. Lakoba and D. J. Kaup, "Influence of the Raman effect on dispersion-managed solitons and their interchannel collisions," Opt. Lett. 24, 808-810 (1999).
27. C. Headley III and G. P. Agrawal, "Unified description of ultrafast stimulated Raman scattering in optical fibers," J. Opt. Soc. Am. B 13, 2170-2177 (1996).
28. 2/0, where γ is the Kerr nonlinearity coefficient.The coefficient ER is given by ER=0.006/r0,where r0 is in picoseconds.
29. B. A. Malomed, "Radiative losses in soliton-soliton collisions in an optical fiber with the third-order dispersion," Phys. Rev. A 43, 3114-3116 (1991).
30. A. Peleg, M. Chertkov, and I. Gabitov, "Interchannel interaction of optical solitons," Phys. Rev. E 68, 026605 (2003).
31. A. Peleg, M. Chertkov, and I. Gabitov, "Inelastic interchannel collisions of pulses in optical fibers in the presence of third-order dispersion," J. Opt. Soc. Am. B 21, 18-23 (2004).
32. B. A. Malomed, "Soliton-collision problem in the nonlinear Schrödinger equation with a nonlinear damping term," Phys. Rev. A 44, 1412-1414 (1991).
33. D. J. Kaup, "Second-order perturbations for solitons in optical fibers," Phys. Rev. A 44, 4582-4590 (1991).
34. M. Chertkov, Y. Chung, A. Dyachenko, I. Gabitov, I. Kolokolov, and V. Lebedev, "Shedding and interaction of solitons in weakly disordered optical fibers," Phys. Rev. E 67, 036615 (2003).
35. H. Yoshida, "Construction of higher order symplectic integrators," Phys. Lett. A 150, 262-268 (1990).
36. E. A. Kuznetsov, A. V. Mikhailov, and I. A. Shimokhin, "Nonlinear interaction of solitons and radiation," Physica D 87, 201-215 (1995).
37. A. Peleg and Y. Chung, "Stationary solutions to the nonlinear Schrödinger equation in the presence of third order dispersion," J. Phys. A 36, 10039-10051 (2003).
38. J. Soneson and A. Peleg, "Effect of quintic nonlinearity on soliton collisions in optical fibers," Physica D 195, 123-140 (2004).
39. D. E. Pelinovsky, Y. S. Kivshar, and V. V. Afanasjev, "Internal modes of envelope solitons," Physica D 116, 121-142 (1998).