Control of high power pulses extracted from the maximally compressed pulse in a nonlinear optical fiber

Romanian Reports in Physics

Volumn 65, Issue 3, 2013, Pages 902-914

  Yang, Guangye ^a,b   Li, Lu ^a   Jia, Suotang ^a   Mihalache, Dumitru ^c,d  

^a SHANXI UNIVERSITY   (China)

^b SHANXI MEDICAL UNIVERSITY   (China)

^c ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^d HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

High power pulses; Maximally compressed pulse; Nonlinear Schr dinger equation

Indexed keywords

EID: 84883857944     PISSN: 12211451     EISSN: 18418759     Source Type: Journal    
DOI: None     Document Type: Article

References (49)

1. N. Akhmediev, A. Ankiewicz, Solitons, Nonlinear Pulses and Beams, Chapman and Hall, London, 1997.
2. T. Dauxois, M. Peyrard, Physics of Solitons, Cambridge University Press, Cambridge, 2006.
3. G. P. Agrawal, Nonlinear Fiber Optics, Academic Press, New York, 2001.
4. Y. S. Kivshar, G. P. Agrawal, Optical Solitons: From fibers to photonic crystals, Academic Press, San Diego, 2003.
5. D. H. Peregrine, Water waves, nonlinear Schrödinger equations and their solution, J. Austral. Math. Soc. Ser. B, 25, 16 (1983).
6. E. A. Kuznetsov, Solitons in a parametrically unstable plasma, Sov. Phys. Dokl., 22, 507 (1977).
7. T. Kawata, H. Inoue, Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions, J. Phys. Soc. Japan, 44, 1722 (1978).
8. Ya. C. Ma, The perturbed plane-wave solutions of the cubic Schrödinger equation, Stud. Appl. Math., 60, 43 (1979).
9. N. Akhmediev, V. I. Korneev, Modulation instability and periodic solutions of the nonlinear Schrödinger equation, Theor. Math. Phys., 69, 1089 (1986).
10. D. Mihalache, N. C. Panoiu, Analytic method for solving the nonlinear Schrödinger equation describing pulse propagation in dispersive optic fibres, J. Phys. A: Math. Gen., 26, 2679 (1993).
11. N. Akhmediev, J. M. Soto-Crespo, A. Ankiewicz, Extreme waves that appear from nowhere: On the nature of rogue waves, Phys. Lett., A 373, 2137 (2009).
12. G. Y. Yang, L. Li, S. T. Jia, Peregrine rogue waves induced by the interaction between a continuous wave and a soliton, Phys. Rev. E, 85, 046608 (2012).
13. D. R. Solli, C. Ropers, P. Koonath, B. Jalali, Optical rogue waves, Nature (London), 450, 1054 (2007).
14. G. Genty, J. M. Dudley, B. J. Eggleton, Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime, Appl. Phys. B, 94, 187 (2009).
15. J. M. Dudley, G. Genty, B. J. Eggleton, Harnessing and control of optical rogue waves in supercontinuum generation, Opt. Express, 16, 3644 (2008).
16. D. R. Solli, C. Ropers, B. Jalali, Active Control of Rogue Waves for Stimulated Supercontinuum Generation, Phys. Rev. Lett., 101, 233902 (2008).
17. A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, M. Taki, Observation of extreme temporal events in CW-pumped supercontinuum, Opt. Express, 17, 17010 (2010).
18. K. Hammani, B. Kibler, C. Finot, A. Picozzi, Emergence of rogue waves from optical turbulence, Phys. Lett. A, 374, 3585 (2010).
19. N. Akhmediev, J. M. Dudley, D. R. Solli, S. K. Turitsyn, Recent progress in investigating optical rogue waves, J. Opt., 15, 060201 (2013).
20. Z. Yan, Nonautonomous "rogons" in the inhomogeneous nonlinear Schrödinger equation with variable coefficients, Phys. Lett. A, 374, 672 (2010).
21. J. He, S. Xu, K. Porsezian, N-order bright and dark rogue waves in a resonant erbium-doped fiber system Phys. Rev. E, 86, 066603 (2012).
22. Li-Chen Zhao, J. Liu, Rogue-wave solutions of a three-component coupled nonlinear Schrödinger equation, Phys. Rev. E, 87, 013201 (2013).
23. C. Li, J. He, K. Porsezian, Rogue waves of the Hirota and the Maxwell-Bloch equations, Phys.Rev. E, 87, 012913 (2013).
24. U. Bandelow, N. Akhmediev, Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case, Phys. Lett. A, 376, 1558 (2012).
25. U. Bandelow, N. Akhmediev, Sasa-Satsuma equation: Soliton on a background and its limiting cases, Phys. Rev. E, 86, 026606 (2012);
26. U. Bandelow, N. Akhmediev, Solitons on a background, rogue waves, and classical soliton solutions of the Sasa-Satsuma equation, J. Opt., 15, 064006 (2013).
27. N. Sasa, J. Satsuma, New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation, J. Phys. Soc. Jpn., 60, 409 (1991).
28. D. Mihalache, L. Torner, F. Moldoveanu, N.-C. Panoiu, N. Truta, Inverse-scattering approach to femtosecond solitons in monomode optical fibers, Phys. Rev. E, 48, 4699 (1993).
29. Y. Ohta, J. Yang, Rogue waves in the Davey-Stewartson I equation, Phys. Rev. E, 86, 036604 (2012).
30. Zhenya Yan, Chaoqing Dai, Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrödinger equation with modulating coefficients, J. Opt., 15, 064012 (2013).
31. Yu. V. Bludov, R. Driben, V. V. Konotop, B. A. Malomed, Instabilities, solitons and rogue waves in PT-coupled nonlinear waveguides, J. Opt., 15, 064010 (2013).
32. C. Lecaplain, Grelu, J. M. Soto-Crespo, N. Akhmediev, Dissipative rogue wave generation in multiple-pulsing mode-locked fiber laser, J. Opt., 15, 064005 (2013).
33. G. P. Veldes, J. Borhanian, M. McKerr, V. Saxena, D. J. Frantzeskakis, I. Kourakis, Electromagnetic rogue waves in beam-plasma interactions, J. Opt., 15, 064003 (2013).
34. S. Wabnitz, Optical tsunamis: shoaling of shallow water rogue waves in nonlinear fibers with normal dispersion, J. Opt., 15, 064002 (2013).
35. H. Leblond and D. Mihalache, Models of few optical cycle solitons beyond the slowly varying envelope approximation, Phys. Reports, 523, 61 (2013).
36. D. Mihalache, Linear and nonlinear light bullets: Recent theoretical and experimental studies, Rom. J. Phys., 57, 352 (2012).
37. H. Leblond, D. Mihalache, Optical solitons in the few-cycle regime: Recent theoretical results, Rom. Rep. Phys., 63, 1254 (2011).
38. H. Leblond, H. Triki, D. Mihalache, Theoretical studies of ultrashort-soliton propagation in nonlinear optical media from a general quantum model, Rom. Rep. Phys., 65, 925 (2013).
39. B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, J. M. Dudley, The Peregrine soliton in nonlinear fibre optics, Nat. Phys., 6, 790 (2010).
40. K. Hammani, B. Kibler, C. Finot, P. Morin, J. Fatome, J. M. Dudley, G. Millot, Peregrine soliton generation and breakup in standard telecommunications fiber, Opt. Lett., 36, 112 (2011).
41. B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, J. M. Dudley, Observation of Kuznetsov-Ma soliton dynamics in optical fibre, Sci. Rep., 2, 463 (2012).
42. A. Chabchoub, N. P. Hoffmann, N. Akhmediev, Rogue Wave Observation in a Water Wave Tank, Phys. Rev. Lett., 106, 204502 (2011).
43. H. Bailung, S. K. Sharma, Y. Nakamura, Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions, Phys. Rev. Lett., 107, 255005 (2011).
44. M. Erkintalo, G. Genty, B. Wetzel, J. M. Dudley, Akhmediev breather evolution in optical fiber for realistic initial conditions, Phys. Lett. A, 375, 2029 (2011).
45. J. M. Dudley, G. Genty, F. Dias, B. Kibler, N. Akhmediev, Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation, Opt. Express, 17, 21497 (2009).
46. G. Van Simaeys, P. Emplit, M. Haelterman, Experimental Demonstration of the Fermi-Pasta-Ulam Recurrence in a Modulationally Unstable Optical Wave, Phys. Rev. Lett., 87, 033902 (2001).
47. E. Fermi, J. Pasta, S. Ulam, Studies of the Nonlinear Problems, I, Los Alamos Report LA-1940 (1955), reprinted in E. Segre, Collected Papers of Enrico Fermi, University of Chicago Press, 1965, pp. 978-988.
48. Guangye Yang, Lu Li, Suotang Jia, Dumitru Mihalache, High power pulses extracted from the Peregrine rogue wave, Rom. Rep. Phys., 65, 391 (2013).
49. M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, G. Genty, Higher-Order Modulation Instability in Nonlinear Fiber Optics, Phys. Rev. Lett., 107, 253901 (2011).