Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 1, 1996, Pages 1172-1189

  Aceves, A B ^a   De Angelis, C ^b   Peschel, T ^c   Muschall, R ^c   Lederer, F ^c   Trillo, S ^d   Wabnitz, S ^d  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b UNIVERSITY OF PADOVA   (Italy)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^d FONDAZIONE UGO BORDONI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000636935     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1172     Document Type: Article

References (65)

1. H. A. Haus and L. Molter Orr, IEEE J. Quantum Electron. QE 19, 840 (1983).
2. D. B. Mortimore and J. W. Arkwright, Appl. Opt. 29, 1814 (1990).
3. D. B. Mortimore and J. V. Arkwright, Appl. Opt. 30, 650 (1991).
4. W. M. Henry and A. Travis, Opt. Quantum Electron. 24, 833 (1992).
5. K. Okamoto, H. Takahashi, S. Suzuki, A. Sugita and Y. Ohmori, Electron. Lett. 27, 774 (1991).
6. S. M. Jensen, IEEE J. Quantum Electron. QE 18, 1580 (1982).
7. A. A. Maier, Sov. J. Quantum Electron. 12, 1490 (1983).
8. B. Daino, G. Gregori and S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
9. S. Trillo and S. Wabnitz, J. Opt. Soc. Am. B 5, 483 (1988).
10. N. Finlayson and G. I. Stegeman, Appl. Phys. Lett. 56, 2276 (1990).
11. D. J. Mitchell, A. W. Snyder and Y. Chen, Electron. Lett. 26, 76 (1990);
12. D. J. Mitchell, A. W. Snyder and Y. Chen, Electron. Lett. 26, 1164 (1990).
13. C. Schmidt Hattenberger, U. Trutschel and F. Lederer, Opt. Lett. 16, 294 (1991).
14. C. Schmidt Hattenberger, U. Trutschel, R. Muschall and F. Lederer, Opt. Commun. 82, 461 (1991).
15. C. Schmidt Hattenberger, U. Trutschel, R. Muschall and F. Lederer, Opt. Commun. 89, 473 (1992).
16. C. Schmidt Hattenberger, R. Muschall, U. Trutschel and F. Lederer, Opt. Quantum Electron. 24, 691 (1992).
17. M. I. Molina, W. D. Deering and G. P. Tsironis, Physica D 66, 135 (1993).
18. K. W. DeLong, J. Yumoto and N. Finlayson, Physica D 54, 36 (1991).
19. N. Finlayson, K. J. Blow, L. J. Bernstein and K. W. DeLong, Phys. Rev. A 48, 3863 (1993).
20. D. Henning, H. Gabriel, M. F. Jørgensen, P. L. Christiansen and C. B. Clausen, Phys. Rev. E 51, 2870 (1995).
21. J. Carr and J. C. Eilbeck, Phys. Lett. A 109, 201 (1985).
22. D. W. McLaughlin and C. M. Schober, Physica D 57, 447 (1992).
23. T. Holstein, Ann. Phys. 8, 325 (1959).
24. A. S. Davydov and N. I. Kislukha, Phys. Status Solidi (B) 59, 465 (1973).
25. W. P. Su, J. R. Schrieffer and A. J. Heeger, Phys. Rev. Lett. 42, 1698 (1979);
26. W. P. Su, J. R. Schrieffer and A. J. Heeger, Phys. Rev. B 22, 2099 (1980).
27. H. Takayama, Y. R. Lin Liu and K. Maki, Phys. Rev. B 21, 2388 (1980).
28. P. Marquii, J. M. Bilbault and M. Remoissenet, Phys. Rev. E 51, 6127 (1995).
29. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
30. A. C. Scott and L. MacNeil, Phys. Lett. A 98, 87 (1983).
31. J. C. Eilbeck, P. S. Lomdahl and A. C. Scott, Physica D 16, 318 (1985).
32. A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988).
33. J. B. Page, Phys. Rev. B 41, 7835 (1990).
34. S. Takeno and K. Hori, J. Phys. Soc. Jpn. 60, 947 (1991).
35. Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
36. Yu. S. Kivshar, Phys. Lett. A 173, 172 (1993).
37. Yu. S. Kivshar, Phys. Rev. Lett. 70, 3055 (1993).
38. M. I. Molina and G. P. Tsironis, Physica D 65, 267 (1993).
39. L. J. Bernstein, K. W. DeLong and N. Finlayson, Phys. Lett. A 181, 135 (1993).
40. A. A. Vakhnenko and Yu. B. Gaididei,Theor. Math. Phys. 68, 873 (1986).
41. S. Takeno and K. Hori, J. Phys. Soc. Jpn. 59, 3037 (1990).
42. R. Scharf and A. R. Bishop, Phys. Rev. A 43, 6535 (1991).
43. S. R. Bickham, A. J. Sievers and S. Takeno, Phys. Rev. B 45, 10344 (1992).
44. Yu. S. Kivshar and D. K. Campbell,Phys. Rev. E 48, 3077 (1993).
45. Ch. Claude, Yu. S. Kivshar, O. Kluth, and K. H. Spatschek,Phys. Rev. B 47, 14228 (1993).
46. D. Cai, A. R. Bishop and N. Gronbech, Jensen,Phys. Rev. Lett. 72, 591 (1994).
47. D. Cai, A. R. Bishop, N. G. Gronbech Jensen and B. A. Malomed, Phys. Rev. E 50, R694 (1994).
48. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society, Lecture Note Series, Vol. 149 (Cambridge University Press, Cambridge, 1991).
49. M. J. Ablowitz and J. F. Ladik, J. Math. Phys. 17, 1011 (1976).
50. V. E. Zakharov and A. B. Shabat,Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
51. P. V. Mamyshev, A. Villeneuve, G. I. Stegeman and J. S. Aitchinson, Electron. Lett. 30, 726 (1994).
52. A. T. Ryan and G. P. Agrawal, Opt. Lett. 18, 1795 (1993).
53. X. D. Cao, D. D. Meyerhofer and G. P. Agrawal, J. Opt. Soc. Am. B 11, 2224 (1994).
54. W. Krolikowski, U. Trutschel, M. Cronin Golomb and C. Schmidt Hattenberger, Opt. Lett. 19, 320 (1994).
55. A. B. Aceves, C. De Angelis, S. Trillo and S. Wabnitz, Opt. Lett. 19, 332 (1994).
56. D. Anderson, Phys. Rev. A 27, 3135 (1983).
57. A. B. Aceves, C. De Angelis, A. M. Rubenchik and S. K. Turitsyn, Opt. Lett. 19, 329 (1994).
58. W. J. Firth and B. A. Samson,Digest of Nonlinear Guided Wave Phenomena (NLGW) Conference 1993, September 20 22, Cambridge, UK (Optical Society of America, Washington, D.C., 1993), p. 82.
59. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1953) Vol. 1.
60. R. A. Sammut and C. Pask, J. Opt. Soc. Am. B 8, 395 (1991).
61. V. V. Steblina, Y. S. Kivshar, M. Lisak and B. A. Malomed, Opt. Commun. 118, 345 (1995).
62. K. Hayata, M. Koshiba and M. Suzuki, Electron. Lett. 22, 1070 (1986).
63. S. Kawakami and H. A. Haus, J. Lightwave Tech. LT 4, 160 (1986).
64. V. I. Karpman and V. V. Solov'ev, Physica D 3, 487 (1981).
65. E. M. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney and A. D. Boardman, Phys. Rev. A 34, 4442 (1986).