Propagation of dark similaritons on the compact parabolic background in dispersion-managed optical fibers

Optics Express

Volumn 17, Issue 10, 2009, Pages 8278-8286

  Wu, Lei ^a   Zhang, Jie Fang ^b   Finot, C ^c   Li, Lu ^d  

^a ZHEJIANG A F UNIVERSITY   (China)

^b ZHEJIANG NORMAL UNIVERSITY   (China)

^c UNIVERSITÉ DE BOURGOGNE   (France)

^d SHANXI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL FIBERS;

DISPERSION MANAGED FIBERS; FINITE WIDTH; HIGHLY ACCURATE; INTERACTION DYNAMICS; PARABOLIC PULSE; SELF-SIMILAR; SIMILARITONS;

DISPERSION (WAVES);

EID: 66449135963     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.008278     Document Type: Article

References (29)

1. N. J. Zabusky and M. D. Kruskal, "Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states," Phys. Rev. Lett. 15, 240-243 (1965).
2. Shiva Kumar and A. Hasegawa "Quasi-soliton propagation in dispersion-managed optical fibers," Opt. Lett. 22, 372-374 (1997).
3. V. N. Serkin and A. Hasegawa, "Novel soliton solutions of the nonlinear Schrödinger equation Model," Phys. Rev. Lett. 85, 4502-4505 (2000).
4. V. I. Kruglov, A. C. Peacock, J. M. Dudley, J. D. Harvey, "Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers," Opt. Lett. 25, 175-177 (2000).
5. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, "Exact self-similar solutions of the generalized nonlinear Schrodinger equation with distributed coefficients," Phys. Rev. Lett. 90, 113902-113905 (2003).
6. S. Chen, L. Yi, D.-S. Guo, and P.Lu, "Self-similar evolutions of parabolic, Hermite-Gaussian, and hybrid optical pulses: Universality and diversity," Phys. Rev. E 72, 016622-016606 (2005).
7. Y. Ozeki and T. Inoue, "Stationary rescaled pulse in dispersion-decreasing fiber for pedestal-free pulse compression," Opt. Lett. 31, 1606-1608 (2006).
8. V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, "Nonautonomous solitons in external potentials," Phys. Rev Lett. 98, 074102-074105 (2007).
9. S. A. Ponomarenko and G. P. Agrawal, "Interactions of chirped and chirp-free similaritons in optical fiber amplifiers," Opt. Express 15, 2963-2973 (2007).
10. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, "Self-Similar Propagation and Amplification of Parabolic Pulses in Optical Fibers," Phys. Rev. Lett. 84, 6010-6013 (2000).
11. J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, "Self-similarity in ultrafast nonlinear optics," Nat. Phys. 3, 597 (2007).
12. S. A. Ponomarenko and G. P. Agrawal, "Do Solitonlike Self-Similar Waves Exist in Nonlinear Optical Media? " Phys. Rev. Lett. 97, 013901-013904 (2006).
13. L. Wu, L. Li, and J.-F. Zhang, "Controllable generation and propagation of asymptotic parabolic optical waves in graded-index waveguide amplifiers," Phys. Rev. A 78, 013838 (2008).
14. C. Finot, B. Barviau, G. Millot, A. Guryanov, A. Sysoliatin, and S. Wabnitz, "Parabolic pulse generation with active or passive dispersion decreasing optical fibers," Opt. Express 15, 15824-15835 (2007).
15. T. Hirooka and M. Nakazawa, "Parabolic pulse generation by use of a dispersion-decreasing fiber with normal group-velocity dispersion," Opt. Lett. 29, 498-500 (2004).
16. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, Boston, 2001).
17. S. A. Ponomarenko and G. P. Agrawal, "Nonlinear interaction of two or more similaritons in loss- and dispersion- managed fibers," J. Opt. Soc. Am. B 25, 983-989 (2008).
18. V. A. Bogatyrev et al., "A single-mode fiber with chromatic dispersion varying along thelength," IEEE J. Lightwave Technol. 9, 561 (1991).
19. S. V. Chernikov, J. R. Taylor, and R. Kashyap, "Comblike dispersion-profiled fiber for soliton pulse train generation," Opt. Lett. 19, 539-541 (1994).
20. B. Kibler, C. Billet, P. A. Lacourt, R. Ferriere, L. Larger, and J. M. Dudley, "Parabolic pulse generation in comblike profiled dispersion decreasing fibre," Electron. Lett. 42, 965-966 (2006).
21. K. R. Tamura and M. Nakazawa, "54-fs, 10-GHz soliton generation from a polarization-maintaining dispersion- flattened dispersion-decreasing fiber pulse compressor," Opt. Lett. 26, 762-764 (2001).
22. V. N. Serkin and A. Hasegawa, "Exactly integrable nonlinear Schrodinger equation models with varying dispersion, nonlinearity and gain: Application for soliton dispersion managements," IEEE Selected Topics in Quantum Electronics 8, 418-432 (2002)
23. V. N. Serkin, M. Matsumoto and T. L. Belyaeva, "Bright and dark solitary nonlinear Bloch waves in dispersion managed fiber systems and soliton lasers," Opt. Commun. 196, 159-171 (2001).
24. L. Li, X. S. Zhao, and Z. Y. Xu, "Dark solitons on an intense parabolic background in nonlinear waveguides,'' Phys. Rev. A 78, 063833 (2008).
25. T. Busch and J. R. Anglin, "Motion ofdark solitons in trapped bose-einstein condensates," Phys. Rev. Lett. 84, 2298-2301 (2000).
26. C. H. Tenorio, E. V. Vargas, V. N. Serkin, M. A. Granados, T. L. Belyaeva, R. P. Moreno, and L. M. Lara, "Dynamics of solitons in the model of nonlinear Schrödinger equation with an external harmonic potential: Part II. Dark solitons," Quantum Electronics, 35, 929-937 (2005).
27. L. Wu, J. F. Zhang, L. Li, C. Finot, and K. Porsezian, "Similaritons interaction in nonlinear graded-index waveguide amplifiers," Phys. Rev. A 78, 053807 (2008).
28. Y. S. Kivshar and W. Krolikowski, "Lagrangian approach for dark solitons," Opt. Commun. 114, 353-362 (1995).
29. It happens when the depth of the dark similariton is shallow, i.e., the velocity of dark similartion in large).