Stability criterion of solitons in three wave mixing of χ(2) nonlinear media

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 234, Issue 6, 1997, Pages 443-452

  Chen, Yijiang ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; MIXING; NONLINEAR SYSTEMS; STABILITY CRITERIA;

CIRCULAR GEOMETRY; EIGENSTATES; FUNDAMENTAL SOLITONS; LOCALIZED WAVES; NON-LINEAR MEDIA; OPERATOR THEORY; PLANAR GEOMETRIES; THREE WAVE MIXING;

SOLITONS;

EID: 0038908060     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00534-3     Document Type: Article

References (26)

1. J.A. Armstrong, N. Bloembergen, J. Ducuing and P.S. Pershan, Phys. Rev. 127 (1962) 1918.
2. Y.P. Shen, The principles of nonlinear optics (Wiley, New York, 1984).
3. D.J. Kaup, A. Reiman and A. Bers, Rev. Mod. Phys. 51 (1979) 275.
4. Yu.N. Karamzin and A.P. Suhkorukov, Sov. Phys. JETP 41 (1976) 414.
5. R. Schiek, J. Opt. Soc. Am. B 10 (1993) 1848.
6. K. Hayata and Koshiba, Phys. Rev. Lett. 71 (1993) 3275.
7. M.J. Werner and P.D. Drummond, J. Opt. Soc. Am. B 10 (1993) 2390.
8. C.R. Menyuk, R. Schiek and L. Torner, J. Opt. Soc. Am. B 11 (1994) 2434.
9. L. Torner, C.R. Menyuk and G.I. Stegeman, Opt. Lett. 19 (1994) 1615; J. Opt. Soc. Am. B 12 (1995) 889.
10. L. Torner, C.R. Menyuk and G.I. Stegeman, Opt. Lett. 19 (1994) 1615; J. Opt. Soc. Am. B 12 (1995) 889.
11. R. Schiek, Y. Baek and G.I. Stegeman, Phys. Rev. E 53 (1996) 1138.
12. W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. VanStryland, G.I. Stegeman, L. Torner and C.R. Menyuk, Phys. Rev. Lett. 74 (1995) 5036.
13. [ 12] L. Torner, C.R. Menyuk, W.E. Torruellas and G.I. Stegeman, Opt. Lett. 20 (1995) 13.
14. A.V. Buryak and Y.S. Kivshar, Opt. Lett. 19 (1994) 1612; 20 (1995) 1080 (E); D.E. Pelinovsky, A.V. Buryak and Y.S. Kivshar, Phys. Rev. Lett. 75 (1995) 591.
15. A.V. Buryak and Y.S. Kivshar, Opt. Lett. 19 (1994) 1612; 20 (1995) 1080 (E); D.E. Pelinovsky, A.V. Buryak and Y.S. Kivshar, Phys. Rev. Lett. 75 (1995) 591.
16. A.V. Buryak and Y.S. Kivshar, Opt. Lett. 19 (1994) 1612; 20 (1995) 1080 (E); D.E. Pelinovsky, A.V. Buryak and Y.S. Kivshar, Phys. Rev. Lett. 75 (1995) 591.
17. L. Torner, D. Mihalache, D. Mazilu and N.N. Akhmediev, Opt. Lett. 20 (1995) 2183.
18. A.V. Buryak, Y.S. Kivshar and V.V. Steblina, Phys. Rev. A 52 (1995) 1670.
19. A.D. Boardman, K. Xie and A. Sangarpaul, Phys. Rev. A 52 (1995) 4099.
20. E. Kuznetsov, A.M. Rubenchik and V.E. Zakharov, Phys. Reports 142 (1986) 103.
21. N.G. Vakhitiov and A.A. Kolokolov, Sov. Radio Phys. 16 (1973) 783.
22. A.E. Kaplan, Opt. Lett. 18 (1993) 1223.
23. W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical recipes (Cambridge University Press, New York, 1992).
24. H.T. Tran, Opt. Commun. 118 (1995) 581.
25. Y. Chen, Optical and Quantum Electronics 24 (1992) 539.
26. J. Atai and Y. Chen, IEEE J. Lightwave Technology 11 (1993) 577.