Asymmetric incoherent vector solitons

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

Volumn 69, Issue 3 2, 2004, Pages

  Ponomarenko, Sergey A ^a   Agrawal, Govind P ^a,b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FREQUENCIES; LIGHT POLARIZATION; NONLINEAR OPTICS; PARAMETER ESTIMATION; PHASE SHIFT; STATISTICAL METHODS; TENSORS; VECTORS; WAVE EQUATIONS;

COORDINATES; NONLINEAR MEDIA; SCALAR APPROXIMATION; SPATIAL MODES;

SOLITONS;

EID: 37649028877     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036604     Document Type: Article

References (23)

1. M. Mitchell, Z. Chen, M.F. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
2. M. Mitchell and M. Segev, Nature (London) 387, 880 (1997).
3. D.N. Christodoulides, T.H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
4. M. Mitchell, M. Segev, T.H. Coskun, and D.N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
5. V.V. Shkunov and D.Z. Andersen, Phys. Rev. Lett. 81, 2683 (1998).
6. The mathematical equivalence of the theories of Refs. [3-5] was demonstrated in D.N. Christodoulides, E.D. Eugenieva, T.H. Coskun, M. Segev, and M, Mitchell, Phys. Rev. E 63, 035601(R) (2001).
7. H. Buljan, M. Segev, M. Soljacic, N.K. Efremidis, and D.N. Christodoulides, Opt. Lett. 28, 1239 (2003).
8. N. Akhmediev, W. Królikowski, and A.W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
9. M. Soljacic, M. Segev, T. Coskun, D.N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
10. S.A. Ponomarenko, Phys. Rev. E 65, 055601(R) (2002).
11. 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).
12. For an up-to-date review on the subject, see Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, Amsterdam, 2003), Chap. 9,11.
13. In this paper, we refer to partially coherent solitons as scalar if all their constituent modes are linearly polarized along the same direction. The solitons produced by partially coherent, partially polarized sources are referred to as partially coherent vector solitons.
14. S.V. Manakov, Sov. Phys. JETP 38, 248 (1974).
15. Z.H. Musslimani, M. Segev, D.N. Christodoulides, and M. Soljacic, Phys. Rev. Lett. 84, 1164 (2000); Z.H. Musslimani, M. Segev, and D.N. Christodoulides, Opt. Lett. 25, 61 (2000).
16. Z.H. Musslimani, M. Segev, D.N. Christodoulides, and M. Soljacic, Phys. Rev. Lett. 84, 1164 (2000); Z.H. Musslimani, M. Segev, and D.N. Christodoulides, Opt. Lett. 25, 61 (2000).
17. As far as bulk Kerr media are concerned, the stability of the present solitons is questionable because any [(2+1)D] beams can undergo collapse in such media. See, for example, O. Bang, D. Edmundson, and W. Królikowski, Phys. Rev. Lett. 83, 5479 (1999).
18. It should be mentioned that [(1 + 1)D] asymmetric scalar partially coherent solitons were studied in N.M. Litchinitser, W. Królikowski, N.N. Akhmediev, and G.P. Agrawal, Phys. Rev. E 60, 2377 (1999).
19. S.A. Ponomarenko, Phys. Rev. E 64, 036618 (2001).
20. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
21. [(1 + 1)D] specular sources were encountered in linear optics. For more details see F. Gori, G. Guattari, C. Palma, and C. Padovani, Opt. Commun. 68, 239 (1988), and references therein.
22. t). For details, see A.W. Snyder and D.J. Mitchell, Opt. Lett. 22, 16 (1997).
23. For the derivation of this criterion see A.W. Snyder, D.J. Mitchell, and A. Buryak, J. Opt. Soc. Am. B 13, 1146 (1996).