Nonlocal defect solitons in parity-time-symmetric photonic lattices with spatially modulated nonlinearity

Journal of the Optical Society of America B: Optical Physics

Volumn 30, Issue 5, 2013, Pages 1216-1221

  Xie, Jianing ^a   Chen, Weicheng ^a   Lv, Jiantao ^a   Su, Zhikun ^a   Yin, Chengping ^b   He, Yingji ^c  

^a FOSHAN UNIVERSITY   (China)

^b SOUTH CHINA NORMAL UNIVERSITY   (China)

^c GUANGDONG POLYTECHNIC NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECTS; OPTICAL LATTICES; PHOTONICS;

DEFECT SOLITONS; EXISTENCE AND STABILITY; NONLINEAR LATTICES; NONLOCAL NONLINEARITIES; PHOTONIC LATTICE; REAL PART; SPATIALLY MODULATED; STABILITY DOMAINS;

SOLITONS;

EID: 84878415404     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.30.001216     Document Type: Article

References (48)

1. C. M. Bender and S. Boettcher, "Real spectra in non-Hermitian Hamiltonians having PT symmetry," Phys. Rev. Lett 80, 5243-5246 (1998).
2. Z. Ahmed, "Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential," Phys. Lett. A 282, 343-348 (2001).
3. C. M. Bender, D. C. Brody, and H. F. Jones, "Complex extension of quantum mechanics," Phys. Rev. Lett. 89, 270401 (2002).
4. C. M. Bender, D. C. Brody, and H. Jones, "Must a Hamiltonian be Hermitian?" Am. J. Phys. 71, 1095-1102 (2003).
5. C. M. Bender, D. C. Brody, H. F. Jones, and B. K. Meister, "Faster than Hermitian quantum mechanics," Phys. Rev. Lett. 98, 040403 (2007).
6. C. M. Bender, "Making sense of non-Hermitian Hamiltonians," Rep. Prog. Phys. 70, 947-1018 (2007).
7. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, "Beam dynamics in PT symmetric optical lattices," Phys. Rev. Lett. 100, 103904 (2008).
8. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, "Optical solitons in PT periodic potentials," Phys. Rev. Lett. 100, 030402 (2008).
9. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, "Observation of parity-time symmetry in optics," Nat. Phys. 6, 192-195 (2010).
10. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, "PT-symmetric optical lattices," Phys. Rev. A 81, 063807 (2010).
11. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, "Observation of PT-symmetry breaking in complex optical potentials," Phys. Rev. Lett. 103, 093902 (2009).
12. O. Bendix, R. Fleischmann, T. Kottos, and B. Shapiro, "Exponentially fragile PT symmetry in lattices with localized eigenmodes," Phys. Rev. Lett. 103, 030402 (2009).
13. K. Zhou, Z. Guo, J. Wang, and S. Liu, "Defect modes in defective parity-time symmetric periodic complex potentials," Opt. Lett. 35, 2928-2930 (2010).
14. H. Wang and J. Wang, "Defect solitons in parity-time periodic potentials," Opt. Express 19, 4030-4035 (2011).
15. L. Chen, R. Li, N. Yang, D. Chen, and L. Li, "Optical modes in PT-symmetric double-channel waveguides," Proc. Rom. Acad. A 13, 46-54 (2012).
16. Y. He and D. Mihalache, "Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials," Phys. Rev. A 87, 013812 (2013).
17. Y. V. Kartashov, B. A. Malomed, and L. Torner, "Solitons in nonlinear lattices," Rev. Mod. Phys. 83, 247-305 (2011).
18. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity," Opt. Lett. 33, 1747-1749 (2008).
19. J. Belmonte-Beitia, V. V. Konotop, V. M. Perez-Garcia, and V. E. Vekslerchik, "Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: linear and nonlinear lattices," Chao, Solitons & Fractals 41, 1158-1166 (2009).
20. Y. Kominis and K. Hizanidis, "Power dependent soliton location and stability in complex photonic structures," Opt. Express 16, 12124-12138 (2008).
21. Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, "Solitary waves under the competition of linear and nonlinear periodic potentials," J. Phys. A 40, 14151-14163 (2007).
22. X. Zhu, H. Wang, L. X. Zheng, H. G. Li, and Y. J. He, "Gap solitons in parity-time complex periodic optical lattices with the real part of superlattices," Opt. Lett. 36, 2680-2682 (2011).
23. H. Li, Z. Shi, X. Jiang, and X. Zhu, "Gray solitons in PT symmetric potentials," Opt. Lett. 36, 3290-3292 (2011).
24. Z. Shi, X. Jiang, X. Zhu, and L. Hua, "Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials," Phys. Rev. A 84, 053855 (2011).
25. F. Ye, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Nonlinear switching of low-index modes in photonic lattices," Phys. Rev. A 78, 013847 (2008).
26. Y. Li, W. Pang, Y. Chen, Z. Yu, J. Zhou, and H. Zhang, "Defectmediated discrete solitons in optically induced photorefractive lattices," Phys. Rev. A 80, 043824 (2009).
27. V. A. Brazhnyi, V. V. Konotop, and V. M. Perez-Garcia, "Driving defect modes of Bose-Einstein condensates in optical lattices," Phys. Rev. Lett. 96, 060403 (2006).
28. Z. E. Lu and Z. M. Zhang, "Defect solitons in parity-time symmetric superlattices," Opt. Express 19, 11457 (2011).
29. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, "Lattices solitons in PT-symmetric mixed linear-nonlinear optical lattices," Phys. Rev. A 85, 013831 (2012).
30. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, "Solitons in PTsymmetric linear lattices with spatially periodic modulation of nonlinearity," Opt. Commun. 285, 3320-3324 (2012).
31. Z. G. Chen, M. Segev, and D. N. Christodoulides, "Optical spatial solitons: historical overview and recent advances," Rep. Prog. Phys. 75, 086401 (2012).
32. Z. Xu, Y. V. Kartashov, and L. Torner, "Soliton mobility in nonlocal optical lattices," Phys. Rev. Lett. 95, 113901 (2005).
33. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, "Latticesupported surface solitons in nonlocal nonlinear media," Opt. Lett. 31, 2595-2597 (2006).
34. F. Ye, Y. V. Kartashov, and L. Torner, "Nonlocal surface dipoles and vortices," Phys. Rev. A 77, 033829 (2008).
35. S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, "Defect solitons in parity-time-symmetric optical lattices with nonlocal nonlinearity," Phys. Rev. A 85, 043826 (2012).
36. C. Yin, Y. He, H. Li, and J. Xie, "Solitons in parity-time symmetric potentials with spatially modulated nonlocal nonlinearity," Opt. Express 20, 19355-19362 (2012).
37. Y. V. Bludov and V. V. Konotop, "Localized modes in arrays of boson-fermion mixtures," Phys. Rev. A 74, 043616 (2006).
38. W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
39. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27, 1460-1462 (2002).
40. N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Krolikowski, "Quadratic solitons as nonlocal solitons," Phys. Rev. E 68, 036614 (2003).
41. W. Hu, T. Zhang, Q. Guo, X. Li, and S. Lan, "Nonlocalitycontrolled interaction of spatial solitons in nematic liquid crystals," Appl. Phys. Lett. 89, 071111 (2006).
42. P. V. Larsen, M. P. Sorensen, O. Bang, W. Z. Krolikowski, and S. Trillo, "Nonlocal description of X waves in quadratic nonlinear materials," Phys. Rev. E 73, 036614 (2006).
43. N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, "Shocks in nonlocal media," Phys. Rev. Lett. 99, 043903 (2007).
44. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, "Observation of a gradient catastrophe generating solitons," Phys. Rev. Lett. 102, 083902 (2009).
45. R. Bekenstein and M. Segev, "Self-accelerating optical beams in highly nonlocal nonlinear media," Opt. Express 19, 23706-23715 (2011).
46. J. Yang, "Iteration methods for stability spectra of solitary waves," J. Comput. Phys. 277, 862-6876 (2008).
47. M. J. Ablowitz and Z. H. Musslimani, "Spectral renormalization method for computing self-localized solutions to nonlinear systems," Opt. Lett. 30, 2140-2142 (2005).
48. Y. He, D. Mihalache, and B. Hu, "Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities," Opt. Lett. 35, 1716-1718 (2010).