Transformations of gap solitons in linearly coupled Bragg gratings with a mismatch

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6604, Issue , 2007, Pages

  Tsofe, Yossi J ^a   Malomed, Boris A ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Bandgap; Subcritical bifurcation; Supercritical bifurcation; Symmetry breaking

Indexed keywords

BIFURCATION (MATHEMATICS); BRAGG GRATINGS; ENERGY GAP; PERTURBATION TECHNIQUES; PHASE SHIFT;

SUBCRITICAL BIFURCATION; SUPERCRITICAL BIFURCATION; SYMMETRY BREAKING;

SOLITONS;

EID: 34249006009     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.726974     Document Type: Conference Paper

References (18)

1. R. Kashyap, Fiber Bragg gratings (Academic Press: San Diego, 1999).
2. C. M. de Sterke and J. E. Sipe, "Gap solitons", Progr. Opt. 33, 203-260 (1994).
3. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, "Bragg grating solitons", Phys. Rev. Lett. 76, 1627-1630 (1996).
4. B. J. Eggleton, C. M. De Sterke, and R. E. Slusher, "Bragg solitons in the nonlinear Schrodinger limit: experiment and theory", J. Opt. Soc. Am. B 16, 587-599 (1999).
5. W. Mak, B. A. Malomed, and P. L. Chu, "Solitary waves in coupled nonlinear waveguides with Bragg gratings", J. Opt. Soc. Am. B 15, 1685-1692 (1998).
6. A. A. Akhmediev and A. Ankiewicz, Phys. Rev. Lett. "Novel soliton states and bifurcation phenomena in nonlinear fiber couplers", 70, 2395-2398 (1993);
7. P. L. Chu, B. A. Malomed, and G. D. Peng, "Soliton switching and propagation in nonlinear fiber couplers: analytical results", J. Opt. Soc. Am. B 10, 1379-1385 (1993);
8. B. A. Malomed, I. Skinner, P. L. Chu, and G. D. Peng, "Symmetric and asymmetric solitons in twin-core nonlinear optical fibers", Phys. Rev. E 53, 4084-4091 (1996).
9. W. C. K. Mak, B. A. Malomed, and P. L. Chu, "Symmetric and asymmetric solitons in linearly coupled Bragg gratings", Phys. Rev. E 69, 066610 (2004).
10. M. Åslund, L. Poladian, J. Canning, and C. M. de Sterke, "Add-drop multiplexing by dispersion inverted interference coupling", J. Lightwave Tech. 20, 1585-1589 (2002).
11. A. A. Sukhorukov and Y. S. Kivshar, e-print arXiv:physics/0605194 (2006).
12. B. A. Malomed and R. S. Tasgal, "Vibration modes of a gap soliton in a nonlinear optical medium", Phys. Rev. E 49, 5787-5796 (1994).
13. I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, "Vibrations and Oscillatory Instabilities of Gap Solitons", Phys. Rev. Lett. 80, 5117-5120 (1998);
14. A. De Rossi, C. Conti, and S. Trillo, "Stability, multistability, and wobbling of optical gap solitons", ibid. 81, 85-88 (1998).
15. J. Feng, "Alternative scheme for studying gap solitons in an infinite periodic Kerr medium", Opt. Lett. 18, 1302-1304 (1993):
16. R. F. Nabiev, P. Yeh, and D. Botez, "Spatial gap solitons in periodic nonlinear structures", ibid. 18, 1612-1614 (1993).
17. A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media", Phys. Lett. A 141, 37-42 (1989);
18. D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in nonlinear periodic structures", Phys. Rev. Lett. 62, 1746-1749 (1989).