Parametric gap solitons in quadratic media

Optics Express

Volumn 3, Issue 11, 1998, Pages 389-404

  Conti, Claudio ^a   Assanto, Gaetano ^a   Trillo, Stefano ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b FONDAZIONE UGO BORDONI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; DIFFRACTION GRATINGS; DISTRIBUTED FEEDBACK LASERS; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY DOUBLERS; REFRACTIVE INDEX; SOLITONS; WAVE PROPAGATION;

BRAGG REFLECTORS; GRATINGS; PARAMETRIC PROCESSES;

NONLINEAR OPTICS;

EID: 0000826854     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.3.000389     Document Type: Article

References (26)

1. W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
2. C. M. De Sterke and J. E. Sipe, in Progress in Optics XXXIII, E. Wolf ed., (Elsevier, Amsterdam, 1994), Chap. III.
3. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, "Nonlinear pulse propagation in Bragg gratings," J. Opt. Soc. Am. B 14, 2980-2993 (1997).
4. D. Taverner, N. G. R. Broderick, D. J. Richardson, R. I. Laming, and M. Ibsen, "Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating," Opt. Lett. 23, 328-330 (1998).
5. Y. Kivshar, "Gap solitons due to cascading," Phys. Rev. E 51, 1613-1615 (1995).
6. C. Conti, S. Trillo, and G. Assanto, "Doubly resonant Bragg simultons via second-harmonic generation," Phys. Rev. Lett. 78, 2341-2344 (1997).
7. H. He and P. D. Drummond, "Ideal soliton environment using parametric band gaps," Phys. Rev. Lett. 78, 4311-4314 (1997).
8. T. Peschel, U. Peschel, F. Lederer, and B. Malomed, "Solitary waves in Bragg gratings with a quadratic nonlinearity," Phys. Rev. E 55, 4730-4739 (1997).
9. C. Conti, S. Trillo, and G. Assanto, "Bloch functions approach for parametric gap solitons," Opt. Lett. 22, 445-447 (1997).
10. C. Conti, S. Trillo, and G. Assanto, "Optical gap solitons via second-harmonic generation: exact solitary solutions," Phys. Rev. E, 57, R1251-R1254 (1998).
11. C. Conti, S. Trillo, and G. Assanto, "Trapping of slowly moving or stationary two-color gap solitons," Opt. Lett. 23, 334-336 (1998).
12. C. Conti, G. Assanto, and S. Trillo, "Read/write all-optical buffer by self trapped gap simultons," Electron. Lett. 34, 689-690 (1998).
13. C. Conti, G. Assanto, and S. Trillo, "Excitation of self-transparency Bragg solitons in quadratic media," Opt. Lett. 22, 1350-1352 (1997).
14. C. Conti, A. De Rossi, and S. Trillo, "Existence, bistability, and instability of Kerr-like parametric gap solitons in quadratic media," Opt. Lett. 23, 1265-1267 (1998).
15. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, "Observation of two-dimensional spatial solitary waves in a quadratic medium," Phys. Rev. Lett. 74, 5036-5039 (1995).
16. R. Schiek, Y. Baek, G. I. Stegeman, "One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides," Phys. Rev. E 53, 1138 (1996).
17. C. M. de Sterke, D. G. Salines, J. E. Sipe, "Coupled-mode theory for light propagation through deep nonlinear gratings," Phys. Rev. E 54, 1969-1989 (1996).
18. J. Söchtig et al., Electron. Lett. 31, 551-552 (1995).
19. Z. Weissman et al., "Second-harmonic generation in Bragg-resonant quasi-phase-matched periodically segmented waveguide," Opt. Lett. 20, 674-676 (1995).
20. P. G. Kazansky and V. Pruneri, "Electric-field poling of quasi-phase-matched optical fibers," J. Opt. Soc. Am. B, 14, 3170-3179 (1997).
21. 3 distribuited Bragg reflector laser with a fixed photorefractive grating," Opt. Lett. 23, 1195-1197 (1998).
22. A. V. Buryak and Y. S. Kivshar, "Spatial optical solitons governed by quadratic nonlinearity," Opt. Lett. 19, 1612-1614 (1994).
23. Guided-Wave Optoelectronic, chapter 2, T. Tamir ed., (Springer, Berlin, 1980).
24. L. Torner, D. Mihalache, D. Mazilu, M. C. Santos, and N. N. Akhmediev, "Walking solitons in quadratic nonlinear media," J. Opt. Soc. Am. B 15, 1476-1487 (1998).
25. C. Etrich, U. Peschel, F. Lederer, and B. A. Malomed, "Stability of temporal chirped solitary waves in quadratically nonlinear media," Phys. Rev. E 55, 6155-6161 (1997).
26. C. Etrich, U. Peschel, F. Lederer, and B. A. Malomed, " Collision of solitary waves in media with a second-order nonlinearity," Phys. Rev. A 52, R3444-R3447 (1995).