Field patterns in periodically modulated optical parametric amplifiers and oscillators

Chaos

Volumn 17, Issue 3, 2007, Pages

  Brazhnyi, V A ^a   Konotop, V V ^a,b   Coulibaly, S ^c   Taki, M ^c  

^a UNIVERSITY OF LISBON   (Portugal)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^c UNIVERSITÉ DES SCIENCES ET TECHNOLOGIES DE LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34848890588     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2767408     Document Type: Article

References (37)

1. See, for example, A. P. Piskarskas, Opt. Photon. News, July 1997, p. 25; R. L. Byer and A. P. Piskarskas, feature issue on optical parametric oscillators, J. Opt. Soc. Am. B B10, 1655 (1993).
2. See, for example, A. P. Piskarskas, Opt. Photon. News, July 1997, p. 25; R. L. Byer and A. P. Piskarskas, feature issue on optical parametric oscillators, J. Opt. Soc. Am. B B10, 1655 (1993).
3. R. L. Byer, " Optical parametric oscillators., " in Quantum Electronics, edited by, H. Rabin, and, C. L. Tang, (Academic, New York, 1975).
4. M. I. Kolobov, Quantum Imaging (Springer, New York, 2007).
5. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
6. K. Staliunas, Opt. Commun. 0030-4018 10.1016/0030-4018(92)90333-M 90, 82 (1992); K. Staliunas, J. Mod. Opt. 0950-0340 10.1080/09500349514551101 42, 1261 (1995); G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 1050-2947 10.1103/PhysRevA.49.2028 49, 2028 (1994); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 1050-2947 10.1103/PhysRevA.54. 1609 54, 1609 (1996); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 56, 3237 (1997).
7. K. Staliunas, Opt. Commun. 0030-4018 10.1016/0030-4018(92)90333-M 90, 82 (1992); K. Staliunas, J. Mod. Opt. 0950-0340 10.1080/09500349514551101 42, 1261 (1995); G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 1050-2947 10.1103/PhysRevA.49.2028 49, 2028 (1994); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 1050-2947 10.1103/PhysRevA.54. 1609 54, 1609 (1996); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 56, 3237 (1997).
8. K. Staliunas, Opt. Commun. 0030-4018 10.1016/0030-4018(92)90333-M 90, 82 (1992); K. Staliunas, J. Mod. Opt. 0950-0340 10.1080/09500349514551101 42, 1261 (1995); G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 1050-2947 10.1103/PhysRevA.49.2028 49, 2028 (1994); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 1050-2947 10.1103/PhysRevA.54. 1609 54, 1609 (1996); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 56, 3237 (1997).
9. K. Staliunas, Opt. Commun. 0030-4018 10.1016/0030-4018(92)90333-M 90, 82 (1992); K. Staliunas, J. Mod. Opt. 0950-0340 10.1080/09500349514551101 42, 1261 (1995); G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 1050-2947 10.1103/PhysRevA.49.2028 49, 2028 (1994); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 1050-2947 10.1103/PhysRevA.54. 1609 54, 1609 (1996); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 56, 3237 (1997).
10. K. Staliunas, Opt. Commun. 0030-4018 10.1016/0030-4018(92)90333-M 90, 82 (1992); K. Staliunas, J. Mod. Opt. 0950-0340 10.1080/09500349514551101 42, 1261 (1995); G.-L. Oppo, M. Brambilla and L. A. Lugiato, Phys. Rev. A 1050-2947 10.1103/PhysRevA.49.2028 49, 2028 (1994); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 1050-2947 10.1103/PhysRevA.54. 1609 54, 1609 (1996); G. J. de Varcarcel, K. Staliunas, E. Roldan, and V. J. Sanchez-Morcello, Phys. Rev. A 56, 3237 (1997).
11. S. Longhi, Phys. Rev. A 53, 4488 (1996).
12. H. J. Kimble, Fundamental Systems in Quantum Optics, edited by, J. Dalibard, J. M. Raimond, and, J. Zinn-Justine, (Elsevier, Amsterdam, 1992), pp. 545.
13. D. V. Skryabin and W. J. Firth, Opt. Lett. 24, 1056 (1999).
14. C. Conti, G. Assanto, and S. Trillo, Opt. Express 3, 389 (1998).
15. P. Mandel and M. Tlidi, J. Opt. B: Quantum Semiclassical Opt. 6, R60 (2004).
16. D. V. Skryabin, Phys. Rev. E 60, R3508 (1999).
17. S. Fedorov, D. Michaelis, U. Peschel, C. Etrich, D. V. Skryabin, N. Rosanov, and F. Lederer, Phys. Rev. E 64, 036610 (2001).
18. S. Coulibaly, C. Durniak, and M. Taki, Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators, edited by, Nail Akhmediev, (to be published).
19. C. Durniak, M. Taki, M. Tlidi, P. L. Ramazza, U. Bortolozzo, and G. Kozyreff, Phys. Rev. E 1063-651X 10.1103/PhysRevE.72.026607 72, 026607 (2005); M. Taki, M. San Miguel, and M. Santagiustina, Phys. Rev. E 61, 2133 (2000).
20. C. Durniak, M. Taki, M. Tlidi, P. L. Ramazza, U. Bortolozzo, and G. Kozyreff, Phys. Rev. E 1063-651X 10.1103/PhysRevE.72.026607 72, 026607 (2005); M. Taki, M. San Miguel, and M. Santagiustina, Phys. Rev. E 61, 2133 (2000).
21. Yu. Kivshar, Nat. Phys. 2, 729 (2006).
22. S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Guidici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knödl, M. Miller, and R. Jäger, Nature (London) 419, 699 (2002).
23. A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
24. A. V. Yulin, D. V. Skryabin, and P. St. J. Russell, Opt. Express 13, 3529 (2005).
25. A. G. Vladimirov, D. V. Skryabin, G. Kozyreff, P. Mandel, and M. Tlidi, Opt. Express 1094-4087 10.1364/OPEX.14.000001 14, 1 (2006), and references therein; Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, Opt. Lett. 0146-9592 10.1364/OL.29.001918 29, 1918 (2004); D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92. 053901 92, 053901 (2004); D. Gomila and G.-L. Oppo, Phys. Rev. E 72, 016614 (2005).
26. A. G. Vladimirov, D. V. Skryabin, G. Kozyreff, P. Mandel, and M. Tlidi, Opt. Express 1094-4087 10.1364/OPEX.14.000001 14, 1 (2006), and references therein; Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, Opt. Lett. 0146-9592 10.1364/OL.29.001918 29, 1918 (2004); D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92. 053901 92, 053901 (2004); D. Gomila and G.-L. Oppo, Phys. Rev. E 72, 016614 (2005).
27. A. G. Vladimirov, D. V. Skryabin, G. Kozyreff, P. Mandel, and M. Tlidi, Opt. Express 1094-4087 10.1364/OPEX.14.000001 14, 1 (2006), and references therein; Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, Opt. Lett. 0146-9592 10.1364/OL.29.001918 29, 1918 (2004); D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92. 053901 92, 053901 (2004); D. Gomila and G.-L. Oppo, Phys. Rev. E 72, 016614 (2005).
28. A. G. Vladimirov, D. V. Skryabin, G. Kozyreff, P. Mandel, and M. Tlidi, Opt. Express 1094-4087 10.1364/OPEX.14.000001 14, 1 (2006), and references therein; Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, Opt. Lett. 0146-9592 10.1364/OL.29.001918 29, 1918 (2004); D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.92. 053901 92, 053901 (2004); D. Gomila and G.-L. Oppo, Phys. Rev. E 72, 016614 (2005).
29. O. Egorov, U. Peschel, and F. Lederer, Phys. Rev. E 72, 066603 (2005).
30. M. Tlidi, M. Le Berre, E. Ressayre, T. Tallet, and L. Di Menza, Phys. Rev. A 61, 043806 (2000).
31. W. Magnus and S. Winkler, Hill's Equation (Dover, New York, 1966).
32. V. A. Brazhnyi and V. V. Konotop, Mod. Phys. Lett. B 18, 627 (2004).
33. H. A. Cruz, V. A. Brazhnyi, V. V. Konotop, G. L. Alfimov, and M. Salerno, Phys. Rev. A 76, 013603 (2007), arXiv:cond-mat/0702330.
34. H. A. Cruz, V. A. Brazhnyi, V. V. Konotop, G. L. Alfimov, and M. Salerno, Phys. Rev. A 76, 013603 (2007), arXiv:cond-mat/0702330.
35. G. L. Alfimov, V. V. Konotop, and M. Salerno, Europhys. Lett. 58, 7 (2002).
36. M. Le Berre, E. Ressayare, S. Coulibaly, M. Taki, and M. Tlidi (unpublished).
37. R. Zambrini, M. San Miguel, C. Durniak, and M. Taki, Phys. Rev. E 72, 025603 (R) (2005).