Bistability, limiting, and self-pulsing in backward second-harmonic generation: A time-domain approach

Journal of Optics A: Pure and Applied Optics

Volumn 8, Issue 7, 2006, Pages

  Lauritano, M ^a   Parini, A ^a   Bellanca, G ^a   Trillo, S ^a   Conforti, M ^b   Locatelli, A ^b   De Angelis, C ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b UNIVERSITY OF BRESCIA   (Italy)

Author keywords

Gratings; Instabilities; Second harmonic generation; Self pulsing

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; HARMONIC GENERATION; PHASE MEASUREMENT; WAVE PROPAGATION;

COUPLED-MODE THEORY; GRATINGS; INSTABILITIES; SECOND-HARMONIC GENERATION; SELF-PULSING;

TIME DOMAIN ANALYSIS;

EID: 33745188443     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/8/7/S29     Document Type: Article

References (32)

1. Harris S E 1966 Proposed backward wave oscillation in the infrared Appl. Phys. Lett. 9 114
2. Russell PStJ 1991 Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms IEEE J. Quantum Electron. 27 830
3. 3 Opt. Lett. 22 862
4. Gu X, Makarov M, Ding Y J, Khurgin J B and Risk W P 1999 Backward second-harmonic generation and third-harmonic generation in a periodically poled KTP waveguide Opt. Lett. 24 127
5. Mu X, Zotova I B, Ding Y J and Risk W P 2000 Backward second-harmonic generation in submicron-period ion-exchanged KTP waveguide Opt. Commun. 181 153
6. Laurell F, Canalias C and Pasiskevicius V 2005 Periodically poled crystals with submicrometer gratings-fabrication, evaluation and applications Presented at the EOS Topical Meeting on Optical Microsystems (Capri, Sept. 2005) (see also this special issue)
7. McNeil K J, Drummond P D and Walls D F 1978 Self pulsing in second-harmonic generation Opt. Commun. 27 292
8. Lugiato L A and Lefevre R 1987 Spatial dissipative structures in passive optical systems Phys. Rev. Lett. 58 2209
9. Lugiato L A, Oldano C, Fabre C, Giacobino E and Horowicz RJ 1988 Bistability, self-pulsing and chaos in optical parametric oscillators Il Nuovo Cimento D 10 959
10. Trillo S and Haelterman M 1996 Pulse train generation through modulational instability in intracavity second-harmonic generation Opt. Lett. 21 1114
11. Winful H G, Marburger J H and Garmire E 1979 Theory of bistability in nonlinear distributed feedback structures Appl. Phys. Lett. 35 379
12. Winful H G and Cooperman G D 1982 Self-pulsing and chaos in distributed feedback bistable optical devices Appl. Phys. Lett. 40 298
13. Mecozzi A, Trillo S and Wabnitz S 1987 Spatial instability, all-optical limiting and thresholding in nonlinear distributed feedback devices Opt. Lett. 12 1008
14. de Sterke C M 1992 Stability analysis of nonlinear periodic media Phys. Rev. A 45 8252
15. Buryak A V, Towers I and Trillo S 2000 Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributed feedback systems Phys. Lett. A 267 319
16. Conti C, Trillo S and Assanto G 2000 Energy localization in photonics crystals of a purely nonlinear origin Phys. Rev. Lett. 85 2502
17. Conti C and Trillo S 2003 Self-transparency and localization in gratings with quadratic nonlinearity Nonlinear Photonics Crystals (Springer Series in Photonics vol 10) ed R E Slusher and B J Eggleton (Berlin: Springer) pp73-105
18. Matsumoto M and Tanaka K 1995 Quasi-phase-matched second-harmonic generation by backward propagating interactions IEEE J. Quantum Electron. 31 700
19. Lushnikov P M, Lodahal P and Saffman M 1998 Transverse modulational instabilities of counterpropagating quasi-phase-matching beams in a quadratically nonlinear medium Opt. Lett. 23 1650
20. D'Alessandro G, Russell P St J and Wheeler A A 1997 Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator Phys. Rev. A 55 3211
21. Conti C, Assanto G and Trillo S 1999 Cavityless oscillator via backward quasi-phase-matched second-harmonic generation Opt. Lett. 24 1139
22. Conforti M, Locatelli A, De Angelis C, Parini A, Bellanca G and Trillo S 2005 Self-pulsing instabilities in backward parametric wave mixing J. Opt. Soc. Am. B 22 2178
23. Taflove A 1995 Computational Electrodynamics. The Finite-Difference Time-Domain Method (Boston, MA: Artech House Publishers)
24. Joseph R M and Taflove A 1997 FDTD Maxwell's equations models for nonlinear electrodynamics and optics IEEE Trans. Antennas Propag. 45 364-74
25. Hile C W and Kath W L 1996 Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation J. Opt. Soc. Am. B 13 1135-45
26. Bourgeade A and Freysz E 2000 Computational modelling of second-harmonic generation by solution of full Maxwell equations J. Opt. Soc. Am. B 17 226-34
27. Alsunaidi M A, Masoudi H M and Arnold J M 2000 A time-domain algorithm for the analysis of second-harmonic generation in nonlinear optical structures IEEE Photon. Technol. Lett. 12 395-7
28. Conti C, di Falco A and Assanto G 2004 Optical parametric oscillations in isotropic photonic crystals Opt. Express 12 823
29. Parini A, Bellanca G, Trillo S, Saccomandi L and Bassi P 2004 Transfer matrix and full Maxwell time domain analysis of nonlinear gratings Opt. Quantum Electron. 36 189
30. Richy C, Petsas K I, Giacobino E, Fabre C and Lugiato L 1995 Observation of bistability and delayed bifurcation in a triply resonant optical parametric oscillator J. Opt. Soc. Am. B 12 456
31. Bache M, Lodhal P, Mamaev A V, Marcus M and Saffman M 2002 Observation of self-pulsing in singly resonant optical second-harmonic generation with competing nonlinearities Phys. Rev. A 65 033811
32. Boyd R W 1992 Nonlinear Optics (New York: Academic)