Finite-dimensional model for defect-trapped light in planar periodic nonlinear structures

Optics Letters

Volumn 31, Issue 20, 2006, Pages 3013-3015

  Aceves, Alejandro B ^a   Dohnal, Tomáš ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

2D GAP SOLITONS (GS); DEFECT-TRAPPED STATE; FINITE-DIMENSIONAL MODEL; LOCALIZED DEFECTS;

ENERGY TRANSFER; FIBER BRAGG GRATINGS; MATHEMATICAL MODELS; SOLITONS;

NONLINEAR OPTICS;

EID: 33750520965     PISSN: 01469592     EISSN: None     Source Type: Journal    
DOI: 10.1364/OL.31.003013     Document Type: Article

References (16)

1. R. E. Slusher and B. J. Eggleton, eds., Nonlinear Photonic Crystals (Springer-Verlag, 2003).
2. S. F. Mingaleev and Y. S. Kivshar, Phys. Rev. Lett. 86, 5474 (2001).
3. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
4. A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).
5. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, Phys. Rev. Lett. 76, 1627 (1996).
6. T. Dohnal and A. B. Aceves, Stud. Appl. Math. 115, 209 (2005).
7. N. Aközbek and S. John, Phys. Rev. E 57, 2287 (1998).
8. A. B. Aceves, G. Fibich, and B. Ilan, Physica D 189, 277 (2004).
9. R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchinson, Opt. Lett. 28, 834 (2003).
10. R. H. Goodman, R. E. Slusher, and M. I. Weinstein, J. Opt. Soc. Am. B 19, 1635 (2002).
11. 2 = 〈f,f〉. For numerical purposes, Ω is large enough to enclose the defect, the supports of its defect modes, as well as of the trapped pulse.
12. G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986).
13. C. A. Kennedy and M. H. Carpenter, Technical Report NASA-2001-TM211038 (NASA Langley, 2001).
14. T. Dohnal and T. Hagstrom, "Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations" (submitted to J. Comput. Phys.).
15. T. Hagstrom, "New results on absorbing layers and radiation boundary conditions," in Topics in Computational Wave Propagation, M. Ainsworth, P. Davies, D. Duncan, P. Martin, and B. Rynne, eds. (Springer-Verlag, 2003), Vol. 1.
16. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).