Conical diffraction and gap solitons in honeycomb photonic lattices

Physical Review Letters

Volumn 98, Issue 10, 2007, Pages

  Peleg, Or ^a   Bartal, Guy ^a   Freedman, Barak ^a   Manela, Ofer ^a   Segev, Mordechai ^a   Christodoulides, Demetrios N ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; DIFFRACTION; PERIODIC STRUCTURES; SOLITONS;

CONICAL DIFFRACTION; HONEYCOMB GAP SOLITONS; HONEYCOMB PHOTONIC LATTICES; PERIODIC POTENTIAL;

LATTICE CONSTANTS;

EID: 33847694331     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.103901     Document Type: Article

References (25)

1. M.V. Berry and M.R. Jeffrey, Prog. Opt. (to be published). POPTAN 0079-6638
2. P.R. Wallace, Phys. Rev. 71, 622 (1947). PHRVAO 0031-899X 10.1103/PhysRev.71.622
3. K.S. Novoselov, Science 306, 666 (2004); SCIEAS 0036-8075 10.1126/science.1102896
4. K.S. Novoselov Nature (London) NATUAS 0028-0836 438, 197 (2005). 10.1038/nature04233
5. Y. Kayanuma, Phys. Rev. A 55, R2495 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.R2495
6. Chang-Soo Park, Phys. Rev. B PRBMDO 0163-1829 65, 064411 (2002). 10.1103/PhysRevB.65.064411
7. W. Domcke, Mol. Phys. 43, 851 (1981); MOPHAM 0026-8976 10.1080/00268978100101721
8. see also Conical Intersections, edited by, W. Domcke, D.R. Yarkony, and, H. Koppel, (World Scientific, Singapore, 2004).
9. W.R. Hamilton, Trans. R. Irish Acad. 0790-8113 17, 1 (1837).
10. H. Lloyd, Trans. R. Irish Acad. 0790-8113 17, 145 (1837).
11. R.I. Egorov, Opt. Lett. 31, 2048 (2006). OPLEDP 0146-9592 10.1364/OL.31.002048
12. Note the fundamental difference between conical diffraction phenomena, which are inherently linear processes of diffraction, and conical emission accompanying nonlinear optical processes with noncollinear beams. See, e.g., D. Faccio, Phys. Rev. Lett. 96, 193901 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.193901
13. E. Nibbering, Opt. Lett. 21, 62 (1996). OPLEDP 0146-9592
14. To distinguish from periodic systems made up of materials displaying diabolic points, e.g., J.B. Harris, J. Opt. Soc. Am. A 13, 803 (1996). JOAOD6 0740-3232
15. N.K. Efremidis, Phys. Rev. E 66, 046602 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.046602
16. J.W. Fleischer, Phys. Rev. Lett. 90, 023902 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.023902
17. J.W. Fleischer, Nature (London) NATUAS 0028-0836 422, 147 (2003). 10.1038/nature01452
18. N.K. Efremidis, Phys. Rev. Lett. 91, 213906 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.213906
19. Y.S. Kivshar, Opt. Lett. 18, 1147 (1993). OPLEDP 0146-9592
20. D. Mandelik, Phys. Rev. Lett. 92, 093904 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.093904
21. D. Neshev, Phys. Rev. Lett. 93, 083905 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.083905
22. O. Manela, Opt. Lett. 29, 2049 (2004); OPLEDP 0146-9592 10.1364/OL.29.002049
23. G. Bartal, Phys. Rev. Lett. 95, 053904 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.053904
24. D.N. Christodoulides, Nature (London) NATUAS 0028-0836 424, 817 (2003). 10.1038/nature01936
25. For solitons residing in the semi-infinite gap of a honeycomb lattice, see P.G. Kevrekidis, Phys. Rev. E PLEEE8 1063-651X 66, 016609 (2002). 10.1103/PhysRevE.66.016609