Traveling-wave states and secondary instabilities in optical parametric oscillators

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 53, Issue 6, 1996, Pages 4488-4499

  Longhi, Stefano ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000991774     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.53.4488     Document Type: Article

References (26)

1. N. B. Abraham and W. J. Firth, J. Opt. Soc. Am. B 7, 951 (1990).
2. L. A. Lugiato, Phys. Rep. 219, 293 (1992).
3. J. R. Tredicce, E. J. Quel, A. Ghazzawi, C. Green, M. A. Pernigo, L. M. Narducci and L. A. Lugiato, Phys. Rev. Lett. 62, 1274 (1989).
4. L. A. Lugiato, G.-L. Oppo, J. R. Tredicce, L. M. Narducci and M. A. Pernigo, J. Opt. Soc. Am. B 7, 1019 (1990).
5. M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm and C. O. Weiss, Phys. Rev. A 43, 5090 (1991).
6. F. T. Arecchi, S. Boccaletti and P. L. Ramazza, Phys. Rev. Lett. 70, 2277 (1993).
7. A. B. Coates, C. O. Weiss, C. Green, E. J. D'Angelo, J. R. Tredicce, M. Brambilla, M. Cattaneo, L. A. Lugiato, R. Pirovano, F. Prati, A. J. Kent and G.-L. Oppo, Phys. Rev. A 49, 1452 (1994).
8. P. Coullet, L. Gil and F. Rocca, Opt. Commun. 73, 403 (1989).
9. P. K. Jakobsen, J. V. Moloney, A. C. Newell and R. Indik, Phys. Rev. A 45, 8129 (1992).
10. K. Staliunas, Phys. Rev. A 48, 1573 (1993).
11. P. K. Jakobsen, J. Lega, Q. Feng, M. Staley, J. V. Moloney and A. C. Newell, Phys. Rev. A 49, 4189 (1994).
12. J. Lega, P. K. Jakobsen, J. V. Moloney and A. C. Newell, Phys. Rev. A 49, 4201 (1994).
13. G. K. Harkness, W. J. Firth, J. B. Geddes, J. V. Moloney and E. M. Wright, Phys. Rev. A 50, 4310 (1994).
14. J. Lega, J. V. Moloney and A. C. Newell, Phys. Rev. Lett. 73, 2978 (1994).
15. J. Lega, J. V. Moloney and A. C. Newell, Physica D 83, 478 (1995).
16. G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
17. G.-L. Oppo, M. Brambilla, D. Camesasca, A. Gatti and L. A. Lugiato, J. Mod. Opt. 41, 1151 (1994).
18. K. Staliunas, J. Mod. Opt. 42, 1261 (1995).
19. H. Ito, H. Naito and H. Inaba, J. Appl. Phys. 46, 3992 (1975).
20. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, CA, 1992).
21. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
22. F. H. Busse, Rep. Prog. Phys. 41, 1929 (1978).
23. L. A. Lugiato, C. Oldano, C. Fabre, E. Giacobino and R. J. Horowicz, Nuovo Cimento D 10, 959 (1988).
24. Besides TW or SW states, other regular patterns, obtained as a superposition of more than two TW states, could be, however, selected by nonlinear terms in the equations. Analogously to the laser case [Q. Feng, J. V. Moloney and A. C. Newell, Phys. Rev. A 50, R3601 (1994).
25. K. Staliunas and C. O. Weiss, Physica D 81, 79 (1995)], it will be shown elsewhere that square patterns, consisting of two perpendicularly oriented, out of phase SWs may be stable states near threshold.
26. M. C. Cross and A. C. Newell, Physica D 10, 299 (1984).