Modulational instability in lossless fibers with saturable delayed nonlinear response

Journal of the Optical Society of America B: Optical Physics

Volumn 26, Issue 1, 2009, Pages 183-188

  Da Silva, G L ^a   Gleria, Iram ^a   Lyra, M L ^a   Sombra, A S B ^b  

^a FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

^b FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; FREQUENCY BANDS;

DISPERSION RELATIONS; DISPERSIVE REGIME; HARMONIC PERTURBATIONS; HIGH ENERGY BANDS; MODULATIONAL INSTABILITY; NON-LINEAR RESPONSE; RELAXATION DYNAMICS; STATIONARY SOLUTIONS;

MODULATION;

EID: 59949095014     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.26.000183     Document Type: Article

References (23)

1. A. Hasegawa and F. Tappert, "Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion," Appl. Phys. Lett. 23, 142-144 (1973).
2. A. Hasegawa and F. Tappert, "Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion," Appl. Phys. Lett. 23, 171-172 (1973).
3. E. A. Kuznetsov, A. M. Rubenchik, and V. E. Zakharov, "Soliton stability in plasmas and hydrodynamics," Phys. Rep. 142, 103-165 (1986).
4. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2007).
5. K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron. 24, 2665-2673 (1989).
6. E. A. Golovchenko and A. N. Pilipetskii, "Unified analysis of 4-photon mixing, modulational instability, and stimulated Raman-scattering under various polarization conditions in fibers," J. Opt. Soc. Am. B 11, 92-101 (1994).
7. S. B. Cavalcanti and M. L. Lyra, "Modulational instability of ultrashort pulses via a generalized nonlinear Schrodinger equation with deviating argument," Phys. Lett. A 211, 276-280 (1996).
8. C. Cambournac, H. Maillotte, E. Lantz, J. M. Dudley, and M. Chauvet, "Spatiotemporal behavior of periodic arrays of spatial solitons in a planar waveguide with relaxing Kerr nonlinearity," J. Opt. Soc. Am. B 19, 574-585 (2002).
9. M. J. Potasek, "Modulational instability in an extended nonlinear Schrödinger equation," Opt. Lett. 12, 921-923 (1987).
10. X. Liu, J. W. Haus, and S. M. Shahriar, "Modulation instability for a relaxational Kerr medium," Opt. Commun. 281, 2907-2912 (2008).
11. M. Nurhuda and E. van Groesen, "Effects of delayed Kerr nonlinearity and ionization on the filamentary ultrashort laser pulses in air," Phys. Rev. E 71, 066502 (2005).
12. S. Pitois and G. Millot, "Experimental observation of a new modulational instability spectral window induced by fourth-order dispersion in a normally dispersive singlemode optical fiber," Opt. Commun. 226, 415-422 (2003).
13. P. T. Dinda, C. M. Ngabireng, K. Porsezian, and B. Kalithasan, "Modulational instability in optical fibers with arbitrary higher-order dispersion and delayed Raman response," Opt. Commun. 266, 142-150 (2006)'.
14. M. L. Lyra and A. S. Gouveia Neto, "Saturation effects on modulational instability in non-Kerr-like monomode optical fibers," Opt. Commun. 108, 117-120 (1994).
15. Y. V. Kartashov, A. A. Egorov, A. S. Zelenina, V. A. Vysloukh, and L. Tomer, "Stabilization of one-dimensional periodic waves by saturation of the nonlinear response," Phys. Rev. E 68, 065605(R) (2003).
16. M. Stepic, C. E. Ruter, D. Kip, A. Maluckov, and L. Hadzvievski, "Modulational instability in one-dimensional saturable waveguide arrays: comparison with Kerr nonlinearity," Opt. Commun.' 267, 229-235 (2006).
17. A. Maluckov, Lj. Hadzievski, N. Lazarides, and G. P. Tsironis, "Left-handed metamaterials with saturable nonlinearity," Phys. Rev. E 77, 046607 (2008).
18. C. P. Jisha, V. C. Kuriakose, and K. Porsezian, "Modulational instability and beam propagation in photorefractive polymer," J. Opt. Soc. Am. B 25, 674-679 (2008).
19. S. Ambomo, C. M. Ngabireng, P. Tchofo Dinda, A. Labruyère, K. Porsezian, and B. Kalithasan, "Critical behavior with dramatic enhancement of modulational instability gain in fiber systems with periodic variation dispersion," J. Opt. Soc. Am. B 25, 425-433 (2008).
20. S. C. Wen, W. H. Su, H. Zhang, X. Q. Fu, L. J. Qian, and D. Y. Fan, "Influence of higher-order dispersions and Raman delayed response on modulation instability in microstructured fibres," Chin. Phys. Lett. 20, 852-854 (2003).
21. S. Gatz and J. Herrmann, "Soliton propagation in materials with saturable nonlinearity," J. Opt. Soc. Am. B 8, 2296-2302 (1991).
22. G. I. Stegeman, J. Ariyasu, C. T. Seaton, T. P. Chen, and J. V. Moloney, "Nonlinear thin-film guided-waves in non-Kerr media," Appl. Phys. Lett. 47, 1254-1256 (1985).
23. V. E. Wood, E. D. Evans, and R. P. Kenan, "Soluble saturable refractive-index model," Opt. Commun. 59, 156-160 (1988).