Power-dependent shaping of solitons in parity time symmetric potentials with spatially modulated nonlinearity

Journal of the Optical Society of America B: Optical Physics

Volumn 30, Issue 5, 2013, Pages 1148-1153

  Meng, Yunji ^a   Liu, Youwen ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR STABILITY ANALYSIS; MODULATION;

IMAGINARY PARTS; OUT OF PHASE; REAL PART; SHAPE TRANSFORMATION; SPATIALLY MODULATED; STABILITY DOMAINS; STABILITY PROPERTIES;

SOLITONS;

EID: 84878385752     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.30.001148     Document Type: Article

References (38)

1. C. M. Bender and S. Boettcher, "Real spectra in non-Hermitian Hamiltonians having PT symmetry," Phys. Rev. Lett. 80, 5243-5246 (1998).
2. R. Shankar, Principles of Quantum Mechanics (Springer, 1994).
3. A. Ruschhaupt, F. Delgado, and J. G. Muga, "Physical realization of PT-symmetric potential scattering in a planar slab waveguide," J. Phys. A 38, L171-L176 (2005).
4. E. A. Ultanir, G. I. Stegeman, and D. N. Christodoulides, "Dissipative photonic lattice soliton," Opt. Lett. 29, 845-847 (2004).
5. R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, "Theory of coupled optical PT-symmetric structures," Opt. Lett. 32, 2632-2634 (2007).
6. 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).
7. 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).
8. K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, "Beam dynamics in PT-symmetric optical lattices," Phys. Rev. Lett. 100, 103904 (2008).
9. 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).
10. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, "Optical solitons in PT periodic lattices," Phys. Rev. Lett. 100, 030402 (2008).
11. X. Zhu, H. Wang, L. Zheng, H. Li, and Y. He, "Gap solitons in parity-time complex periodic optical lattices with the real part of superlattics," Opt. Lett. 36, 2680-2682 (2011).
12. H. Li, Z. Shi, X. Jiang, and X. Zhu, "Gray solitons in parity-time symmetric potentials," Opt. Lett. 36, 3290-3292 (2011).
13. Z. Shi, X. Jiang, X. Zhu, and H. Li, "Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials," Phys. Rev. A 84, 053855 (2011).
14. H. Wang and J. Wang, "Defect solitons in parity-time periodic potentials," Opt. Express 19, 4030-4035 (2011).
15. Z. Lu and Z. Zhang, "Defect solitons in parity-time symmetric superlattices," Opt. Express 19, 11457-11462 (2011).
16. S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, "Solitons supported by complex PT-symmetric Gaussian potentials," Phys. Rev. A 84, 043818 (2011).
17. J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, "Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities," Phys. Rev. Lett. 98, 064102 (2007).
18. Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tünnermann, T. Pertsch, and L. Torner, "Surface solitons at interfaces of arrays with spatially modulated nonlinearity," Opt. Lett. 33, 1120-1122 (2008).
19. L. Dong and H. Li, "Surface solitons in nonlinear lattices," J. Opt. Soc. Am. B 27, 1179-1183 (2010).
20. Y. J. 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).
21. H. C. Huang, Y. J. He, Y. Z. Liu, and H. Z. Wang, "Dynamics and all-optical control of solitons at the interface of optical superlattices with spatially modulated nonlinearity," Opt. Express 19, 8795-8801 (2011).
22. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, "Two-dimensional solitons in nonlinear lattices," Opt. Lett. 34, 770-772 (2009).
23. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Powerdependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index," Opt. Lett. 33, 2173-2175 (2008).
24. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, "Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity," Phys. Rev. A 80, 053816 (2009).
25. L. Dong, H. Li, C. Huang, S. Zhong, and C. Li, "Higher-charged vortices in mixed linear-nonlinear circular arrays," Phys. Rev. A 84, 043830 (2011).
26. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, "Vector solitons in nonlinear lattices," Opt. Lett. 34, 3625-3627 (2009).
27. F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, "Light bullets in Bessel optical lattices with spatially modulated nonlinearity," Opt. Express 17, 11328-11334 (2009).
28. L. Torner and Y. V. Kartashov, "Light bullets in optical tandems," Opt. Lett. 34, 1129-1131 (2009).
29. Y. V. Kartashov, B. A. Malomed, and L. Torner, "Solitons in nonlinear lattices," Rev. Mod. Phys. 83, 247-305 (2011).
30. D. Blömer, A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, and A. Tünnermann, "Nonlinear refractive index of fs-laser-written waveguides in fused silica," Opt. Express 14, 2151-2157 (2006).
31. F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, "Solitons in PT-symmetric nonlinear lattices," Phys. Rev. A 83, 041805 (2011).
32. D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, "Stability of solitons in PT-symmetric nonlinear potentials," Europhys. Lett. 96, 64003 (2011).
33. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, "Lattice solitons in PT-symmetric mixed linear-nonlinear optical lattices," Phys. Rev. A 85, 013831 (2012).
34. Y. He, X. Zhu, D. Mihalache, J. Liu, and Z. Chen, "Solitons in PTsymmetric optical lattices with spatially periodic modulation of nonlinearity," Opt. Commun. 285, 3320-3324 (2012).
35. J. Yang and T. I. Lakoba, "Universally-convergent squaredoperator iteration methods for solitary in general nonlinear wave equation," Stud. Appl. Math. 118, 153-197 (2007).
36. M. J. Ablowitz and Z. H. Musslimani, "Spectral renormalization method for computing self-localized solutions to nonlinear system," Opt. Lett. 30, 2140-2142 (2005).
37. 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).
38. S. Nixon, L. Ge, and J. Yang, "Stability analysis for solitons in PT-symmetric optical lattices," Phys. Rev. A 85, 023822 (2012).