Linear superposition principle for partially coherent solitons

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

Volumn 65, Issue 5, 2002, Pages

  Ponomarenko, Sergey A ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KERR-LIKE MEDIA; LINEAR SUPERPOSITION; PARTIALLY COHERENT SOLITONS; SELF-INDUCED WAVEGUIDES;

CORRELATION METHODS; FUNCTIONS; PHOTOREFRACTIVE MATERIALS; REFRACTIVE INDEX; THEOREM PROVING; WAVEGUIDES;

SOLITONS;

EID: 37649028500     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.055601     Document Type: Article

References (29)

1. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996); M. Mitchell and M. Segev, Nature (London) 387, 880. (1997).
2. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996); M. Mitchell and M. Segev, Nature (London) 387, 880. (1997).
3. G. A. Pasmanik, Zh. Eksp. Teor. Fiz. 66, 490 (1974) [Sov. Phys. JETP 39, 234 (1974)].
4. G. A. Pasmanik, Zh. Eksp. Teor. Fiz. 66, 490 (1974) [Sov. Phys. JETP 39, 234 (1974)].
5. V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
6. In the incoherent limit, the method of Refs. [2,3] is equivalent to the geometric optics approach of A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
7. D. N. Christodoulides, T. H. Coskun, and R. I. Joseph, Opt. Lett. 22, 1080 (1997).
8. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
9. A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 21 (1991); A. W. Snyder and D. J. Mitchell, ibid. 18, 101 (1993).
10. A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, Opt. Lett. 16, 21 (1991); A. W. Snyder and D. J. Mitchell, ibid. 18, 101 (1993).
11. A. W. Snyder, S. J. Hewlett, and D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
12. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
13. D. N. Christodoulides, E. D. Eugenieva, T. H. Coskun, M. Segev, and M. Mitchell, Phys. Rev. E 63, 035601 (R) (2001).
14. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
15. N. M. Litchinitser, W. Krolikowski, N. N. Akhmediev, and G. P. Agrawal, Phys. Rev. E 60, 2377 (1999).
16. S. A. Ponomarenko, Phys. Rev. E 64, 036618 (2001).
17. V. Kutuzov, V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, Phys. Rev. E 57, 6056 (1998).
18. N. Akhmediev, W. Królikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
19. D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
20. N. Akhmediev and A. Ankiewicz, Phys. Rev. Lett. 82, 2661 (1999).
21. T. H. Coskun, D. N. Christodoulides, Y. Kim, Z. Chen, M. Soljacic, and M. Segev, Phys. Rev. Lett. 84, 2374 (2000).
22. A. A. Sukhorukov and N. N. Akhmediev, Phys. Rev. Lett. 83, 4736 (1999).
23. M. I. Carvalho, T. H. Coskun, D. N. Christodoulides, M. Mitchell, and M. Segev, Phys. Rev. E 59, 1193 (1999).
24. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).
25. M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
26. C. Anastassiou, M. Soljacic, M. Segev, E. D. Eugenieva, D. N. Christodoulides, D. Kip, Z. H. Musslimani, and J. P. Torres, Phys. Rev. Lett. 85, 4888 (2000).
27. O. Bang, D. Edmundson, and W. Królikowski, Phys. Rev. Lett. 83, 5479 (1999).
28. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
29. Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).