Self-pulsing instabilities in backward parametric wave mixing

Journal of the Optical Society of America B: Optical Physics

Volumn 22, Issue 10, 2005, Pages 2178-2184

  Conforti, Matteo ^a   Locatelli, A ^a   De Angelis, C ^a   Parini, A ^b   Bellanca, G ^b   Trillo, S ^b,c  

^a UNIVERSITY OF BRESCIA   (Italy)

^b UNIVERSITY OF FERRARA   (Italy)

^c ROMA TRE UNIVERSITY   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTINUOUS WAVE LASERS; HAMILTONIANS; INTEGRAL EQUATIONS; LIGHT PROPAGATION; PERTURBATION TECHNIQUES; SECOND HARMONIC GENERATION;

PARAMETRIC WAVE MIXING; SELF PULSING INSTABILITIES; STABILITY ANALYSIS;

FOUR WAVE MIXING;

EID: 28244440924     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.22.002178     Document Type: Article

References (24)

1. S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-116 (1966).
2. P. St. J. Russell, "Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms," IEEE J. Quantum Electron. 27, 830-835 (1991).
3. 3," Opt. Lett. 22, 862-864 (1997).
4. X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, "Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide," Opt. Lett. 24, 127-129 (1999).
5. 4 waveguide," Opt. Commun. 181, 153-159 (2000).
6. C. Conti, S. Trillo, and G. Assanto, "Energy localization in photonic crystals of a purely nonlinear origin," Phys. Rev. Lett. 85, 2502-2505 (2000).
7. M. Matsumoto and K. Tanaka, "Quasi-phase-matched second-harmonic generation by backward propagating interaction," IEEE J. Quantum Electron. 31, 700-705 (1995).
8. P. M. Lushnikov, P. Lodhal, and M. Saffman, "Transverse modulational instability of counterpropagating quasi-phase-matching beams in a quadratically nonlinear medium," Opt. Lett. 23, 1650-1652 (1998).
9. G. D'Alessandro, P. St. J. Russell, and A. A. Wheeler, "Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator," Phys. Rev. A 55, 3211-3218 (1997).
10. C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillator through backward quasi-phase-matched second-harmonic generation," Opt. Lett. 24, 1139-1141 (1999).
11. K. J. McNeil, P. D. Drummond, and D. F. Walls, "Self pulsing in second-harmonic generation," Opt. Commun. 27, 292-294 (1978).
12. L. A. Lugiato and R. Lefevre, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).
13. L. A. Lugiate, C. Oldano, C. Fabre, E. Giacobino, and R. J. Horowicz, "Bistability, self-pulsing and chaos in optical parametric oscillators," Nuovo Cimento D 10, 959-977 (1988).
14. S. Trillo and M. Haelterman, "Pulse train generation through modulational instability in intracavity second-harmonic generation," Opt. Lett. 21, 1114-1116 (1996).
15. H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in non-linear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979).
16. H. G. Winful and G. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices," Appl. Phys. Lett. 40, 298-300 (1982).
17. A. Mecozzi, S. Trillo, and S. Wabnitz, "Spatial instabilities, all-optical limiting and thresholding in nonlinear distributed-feedback devices," Opt. Lett. 12, 1008-1010 (1987).
18. C. M. de Sterke, "Stability analysis of nonlinear periodic media," Phys. Rev. A 45, 8252-8258 (1992).
19. Y. Silberberg and I. Bar-Joseph, "Instabilities, self-oscillation and chaos in a simple nonlinear optical interaction," Phys. Rev. Lett. 48, 1541-1544 (1982).
20. C. Richy, K. I. Petsas, E. Giacobino, C. Fabre, and L. Lugiato, "Observation of bistability and delayed bifurcation in a triply resonant optical parametric oscillator," J. Opt. Soc. Am. B 12, 456-461 (1995).
21. M. Bache, P. Lodhal, A. V. Mamaev, M. Marcus, and M. Saffman, "Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities," Phys. Rev. A 65, 033811 (2002).
22. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, 1983).
23. G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, "Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).
24. A. V. Buryak, I. Towers, and S. Trillo, "Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems," Phys. Lett. A 267, 319-325 (2000).