Lattice solitons in optical media described by the complex Ginzburg-Landau model with PT-symmetric periodic potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 1, 2013, Pages

  He, Yingji ^a   Mihalache, Dumitru ^b,c  

^a GUANGDONG POLYTECHNIC NORMAL UNIVERSITY   (China)

^b HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

^c ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

DISSIPATIVE LATTICES; DYNAMICAL MODEL; GINZBURG-LANDAU MODELS; GRADIENT FORCE; IMAGINARY PARTS; LATTICE SOLITONS; LOSS COEFFICIENTS; OPTICAL MEDIA; OPTICAL-LATTICE POTENTIAL; PERIODIC POTENTIALS; REAL PART; RICH DYNAMICS; SPATIAL SOLITONS; SPATIALLY INHOMOGENEOUS;

CRYSTAL LATTICES; OPTICAL MATERIALS; PLATINUM COMPOUNDS;

SOLITONS;

EID: 84872354125     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.013812     Document Type: Article

References (65)

1. C. M. Bender and S. Boettcher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5243 80, 5243 (1998).
2. Z. Ahmed, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00218-3 282, 343 (2001). (Pubitemid 32410735)
3. C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.270401 89, 270401 (2002).
4. C. M. Bender, D. C. Brody, and H. Jones, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1574043 71, 1095 (2003). (Pubitemid 37364593)
5. C. M. Bender, D. C. Brody, H. F. Jones, and B. K. Meister, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.040403 98, 040403 (2007). (Pubitemid 46168451)
6. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030402 100, 030402 (2008). (Pubitemid 351161760)
7. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.103904 100, 103904 (2008). (Pubitemid 351399143)
8. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063807 81, 063807 (2010).
9. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.093902 103, 093902 (2009).
10. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 1745-2473 10.1038/nphys1515 6, 192 (2010).
11. O. Bendix, R. Fleischmann, T. Kottos, and B. Shapiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.030402 103, 030402 (2009).
12. H. Wang and J. Wang, Opt. Express OPEXFF 1094-4087 10.1364/OE.19.004030 19, 4030 (2011).
13. K. Zhou, Z. Guo, J. Wang, and S. Liu, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.35.002928 35, 2928 (2010).
14. X. Zhu, H. Wang, L.-X. Zheng, H. Li, and Y.-J. He, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.002680 36, 2680 (2011).
15. Z. Shi, X. Jiang, X. Zhu, and H. Li, Phys. Rev. A 1050-2947 10.1103/PhysRevA.84.053855 84, 053855 (2011).
16. S. Liu, C. Ma, Y. Zhang, and K. Lu, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2011.11.065 285, 1934 (2012).
17. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.247 83, 247 (2011).
18. S. V. Dmitriev, A. A. Sukhorukov, and Y. S. Kivshar, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.35.002976 35, 2976 (2010).
19. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.04.004 463, 1 (2008).
20. F. K. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.041805 83, 041805 (2011).
21. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.013831 85, 013831 (2012).
22. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2012.04.006 285, 3320 (2012);
23. Y. He and D. Mihalache, Rom. Rep. Phys. 64, 1243 (2012).
24. H. Li, X. Jiang, X. Zhu, and Z. Shi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.023840 86, 023840 (2012).
25. S. Hu, X. Ma, D. Lu, Y. Zheng, and W. Hu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.043826 85, 043826 (2012).
26. D. A. Zezyulin and V. V. Konotop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.213906 108, 213906 (2012).
27. C. Li, H. Liu, and L. Dong, Opt. Express 20, 16824 (2012).
28. V. Achilleos, P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-González, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86. 013808 86, 013808 (2012).
29. N. V. Alexeeva, I. V. Barashenkov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.063837 85, 063837 (2012).
30. R. Driben and B. A. Malomed, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.004323 36, 4323 (2011).
31. R. Driben and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/51001 96, 51001 (2011).
32. L. Chen, R. Li, N. Yang, D. Chen, and L. Li, Proc. Rom. Acad. A 13, 46 (2012).
33. I. V. Barashenkov, S. V. Suchkov, A. A. Sukhorukov, S. V. Dmitriev, and Y. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.053809 86, 053809 (2012).
34. C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, Eur. Phys. J. Spec. Topics 1951-6355 10.1140/epjst/e2009-01076-8 173, 233 (2009).
35. F. K. Abdullaev, V. V. Konotop, M. Salerno, and A. Yulin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056606 82, 056606 (2010).
36. Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, and L. Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.35.001638 35, 1638 (2010).
37. Y. V. Bludov and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.013625 81, 013625 (2010).
38. Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/91/34003 91, 34003 (2010).
39. Y. He, D. Mihalache, X. Zhu, L. Guo, and Y. V. Kartashov, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.37.002526 37, 2526 (2012).
40. N. N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002).
41. Z. Bakonyi, D. Michaelis, U. Peschel, G. Onishchukov, and F. Lederer, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.19.000487 19, 487 (2002).
42. B. A. Malomed, in, Encyclopedia of Nonlinear Science, edited by, A. Scott, (Routledge, New York, 2005), p. 157.
43. B. A. Malomed, Chaos CHAOEH 1054-1500 10.1063/1.2771078 17, 037117 (2007).
44. N. Akhmediev and A. Ankiewicz, Dissipative Solitons: from Optics to Biology and Medicine, Lecture Notes in Physics Vol. 751 (Springer, Berlin, 2008).
45. F. T. Arecchi, S. Boccaletti, and P. Ramazza, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00007-1 318, 1 (1999).
46. P. Mandel and M. Tlidi, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/6/9/ R02 6, R60 (2004).
47. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Appl. Phys. B APPCDL 0946-2171 10.1007/s00340-005-1981-4 81, 937 (2005). (Pubitemid 41660655)
48. N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.1190 53, 1190 (1996).
49. L.-C. Crasovan, B. A. Malomed, and D. Mihalache, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.016605 63, 016605 (2001); (Pubitemid 33722873)
50. L.-C. Crasovan, B. A. Malomed, and D. Mihalache, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(01)00571-0 289, 59 (2001); (Pubitemid 32964183)
51. D. Mihalache, Rom. Rep. Phys. 63, 9 (2011);
52. D. Mihalache, Proc. Rom. Acad. A 11, 142 (2010).
53. W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.023814 77, 023814 (2008). (Pubitemid 351393349)
54. N. Akhmediev and A. Ankiewicz, Dissipative Solitons, Lecture Notes in Physics Vol. 661 (Springer, New York, 2005).
55. Y. J. He, B. A. Malomed, D. Mihalache, B. Liu, H. C. Huang, H. Yang, and H. Z. Wang, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.002976 34, 2976 (2009).
56. D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, and B. A. Malomed, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.073904 97, 073904 (2006).
57. H. Leblond, A. Komarov, M. Salhi, A. Haboucha, and F. Sanchez, J. Opt. A Pure Appl. Opt. 1464-4258 10.1088/1464-4258/8/3/015 8, 319 (2006). (Pubitemid 43345087)
58. D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033811 75, 033811 (2007). (Pubitemid 46492684)
59. J. M. Soto-Crespo, N. Akhmediev, C. Mejia-Cortes, and N. Devine, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.004236 17, 4236 (2009).
60. W. Chang, N. Akhmediev, S. Wabnitz, and M. Taki, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.26.002204 26, 2204 (2009).
61. P. Grelu and N. Akhmediev, Nat. Photon. (London) 1749-4885 10.1038/nphoton.2011.345 6, 84 (2012).
62. Y. He and D. Mihalache, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.29.002554 29, 2554 (2012).
63. L. Gil, K. Emilsson, and G.-L. Oppo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.R567 45, R567 (1992).
64. I. S. Aranson and L. Kramer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.99 74, 99 (2002).
65. N. Akhmediev, J. M. Soto-Crespo, and G. Town, Phys. Rev. E 1539-3755 10.1103/PhysRevE.63.056602 63, 056602 (2001).