X-wave-mediated instability of plane waves in Kerr media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 1 2, 2003, Pages 166061-166064

  Conti, Claudio ^a  

^a INFM Roma Tre   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVE DIFFRACTION; LIGHT PROPAGATION; OPTICAL PUMPING; SECOND HARMONIC GENERATION;

PLANE WAVES;

NONLINEAR OPTICS;

EID: 3442889555     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (48)

1. P. Chernev and V. Petrov, Opt. Lett. 17, 172 (1992).
2. J. Rothenberg, Opt. Lett. 17, 583 (1992).
3. J.K. Ranka, R.W. Schirmer, and A.L. Gaeta, Phys. Rev. Lett. 77, 3783 (1996).
4. L. Berge, J.J. Rasmussen, E.G. Shapiro, and S.K. Turitsyn, J. Opt. Soc. Am. B 13, 1879 (1996).
5. T. Brabec and F. Krausz, Phys. Rev. Lett. 78, 3282 (1997).
6. M. Trippenbach and Y.B. Band, Phys. Rev. A 56, 4242 (1997).
7. J.K. Ranka and A.L. Gaeta, Opt. Lett. 23, 534 (1998).
8. S.A. Diddams, H.K. Eaton, A.A. Zozulya, and T.S. Clement, Opt. Lett. 23, 379 (1998).
9. A.A. Zozulya and S.A. Diddams, Opt. Express 4, 336 (1999).
10. A.G. Litvak, V.A. Mironov, and E.M. Sher, Phys. Rev. E 61, 891 (2000).
11. H.S. Eisenberg, R. Morandotti, Y. Silberberg, S. Bar-Ad, D. Ross, and J.S. Aitchison, Phys. Rev. Lett. 87, 043902 (2001).
12. L. Berge, K. Germaschewski, R. Grauer, and J.J. Rasmussen, Phys. Rev. Lett. 89, 153902 (2002).
13. H. Ward and L. Berge, Phys. Rev. Lett. 90, 053901 (2003).
14. G.G. Luther, A.C. Newell, and J.V. Moloney, Physica D 74, 59 (1994).
15. G. Fibich, V.M. Malkin, and G.C. Papanicolaou, Phys. Rev. A 52, 4218 (1995).
16. T. Levi-Civita, Caratteristiche dei Sistemi Differenziali e Propagazione Ondosa (Zanichelli, Bologna, Italy, 1931).
17. K. Staliunas, Phys. Rev. A 48, 1573 (1993).
18. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
19. R.W. Ziolkowski, D.K. Lewis, and B.D. Cook, Phys. Rev. Lett. 62, 147 (1989).
20. J. Lu and J.F. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 441 (1992).
21. P.R. Stepanishen and J. Sun, J. Acoust. Soc. Am. 102, 3308 (1997).
22. J. Salo, J. Fagerholm, A.T. Friberg, and M.M. Salomaa, Phys. Rev. Lett. 83, 1171 (1999).
23. J. Durnin, J.J. Miceli, and J.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
24. E. Recami, Physica A 252, 586 (1998).
25. P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
26. H. Sonajalg, M. Ratsep, and P. Saari, Opt. Lett. 22, 310 (1997).
27. K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).
28. D. Mugnai, A. Ranfagni, and R. Ruggeri, Phys. Rev. Lett. 84, 4830 (2000).
29. C.J.R. Sheppard, J. Opt. Soc. Am. A 18, 2594 (2001).
30. M. Zamboni-Rached, K.Z. Nobrega, H.E. Hernandez-Figueroa, and E. Recami, e-print physics/0209101.
31. C. Conti, S. Trillo, P. Di Trapani, O. Jedrkiewicz, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, and J. Trull, Phys. Rev. Lett. 90, 170406 (2003).
32. S. Trillo, C. Conti, P.D. Trapani, O. Jedrkiewicz, J. Trull, and G. Valiulis, in Nonlinear Guided Waves and Their Application (Optical Society of America, Washington, D.C. 2002) paper NLMB.
33. P.D. Trapani et al., Phys. Rev. Lett. (to be published), e-print physics/0303083.
34. C. Conti and S. Trillo, Opt. Lett. (to be published), e-print physics/0208097.
35. L.W. Liou, X.D. Cao, C.J. McKinstrie, and G.P. Agrawal, Phys. Rev. A 46, 4202 (1992).
36. E.J. Fonseca, S.B. Cavalcanti, and J.M. Hickmann, Opt. Commun. 169, 199 (1999).
37. A. Picozzi and M. Haelterman, Phys. Rev. Lett. 88, 083901 (2002).
38. S. Trillo, C. Conti, P.D. Trapani, O. Jedrkiewicz, J. Trull, G. Valiulis, and G. Bellanca, Opt. Lett. 27, 1451 (2002).
39. Spatial Solitons, edited by S. Trillo and Torruellas (Springer-Verlag, Berlin, 2001) Chap. 6.
40. A.V. Buriak, P.D. Trapani, D.V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
41. A. Hasegawa, Opt. Lett. 9, 288 (1984).
42. M.A. Porras, S. Trillo, C. Conti, and P.D. Trapani, Opt. Lett. (to be published).
43. P. Saari, e-print physics/0103054.
44. V.V. Konotop and M. Salerno, Phys. Rev. A 65, 021602 (2002).
45. M. Kramer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).
46. J. Salo and M.M. Salomaa, J. Phys. A 34, 9319 (2001).
47. For the sake of concreteness, I use the term X wave, without making distinction among the many families of localized-wave patterns solutions to the linear Helmotz equation. See, e.g., Ref. [43].
48. yy), fill all the space-time and have infinite energy. Furthermore, X waves may be enriched by orthogonality properties as described in Ref. [46].