Multi-peak solitons in PT-symmetric Bessel optical lattices with defects

doi:10.1007/s11467-016-0569-2

Frontiers of Physics

2016, Vol. 11

Issue (5): 114204 https://doi.org/10.1007/s11467-016-0569-2

本期目录

Multi-peak solitons in PT-symmetric Bessel optical lattices with defects

Hongcheng Wang^1,^2,^*(

)

¹. College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China
². CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, FL 32816-2700, USA

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Abstract：

This paper presents a theoretical analysis of the existence and stability of multi-peak solitons in parity–time-symmetric Bessel optical lattices with defects in nonlinear media. The results demonstrate that there always exists a critical propagation constant μ_c for the existence of multi-peak solitons regardless of whether the nonlinearity is self-focusing or self-defocusing. In self-focusing media, multi-peak solitons exist when the propagation constant μ>μ_c. In the self-defocusing case, solitons exist only when μ<μ_c. Only low-power solitons can propagate stably when random noise perturbations are present. Positive defects help stabilize the propagation of multi-peak solitons when the nonlinearity is self-focusing. When the nonlinearity is self-defocusing, however, multi-peak solitons in negative defects have wider stable regions than those in positive defects.

Key words： lattice solitons multi-peak solitons PT-symmetry defect solitons

收稿日期: 2015-08-18 出版日期: 2016-06-08

Corresponding Author(s): Hongcheng Wang

引用本文:

. [J]. Frontiers of Physics, 2016, 11(5): 114204.
Hongcheng Wang. Multi-peak solitons in PT-symmetric Bessel optical lattices with defects. Front. Phys. , 2016, 11(5): 114204.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-016-0569-2
https://academic.hep.com.cn/fop/CN/Y2016/V11/I5/114204

1	R. El-Ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Theory of coupled optical PT-symmetric structures, Opt. Lett. 32(17), 2632 (2007) https://doi.org/10.1364/OL.32.002632
2	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(9), 093902 (2009) https://doi.org/10.1103/PhysRevLett.103.093902
3	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(3), 192 (2010) https://doi.org/10.1038/nphys1515
4	Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Optical solitons in PT periodic potentials, Phys. Rev. Lett. 100(3), 030402 (2008) https://doi.org/10.1103/PhysRevLett.100.030402
5	M. A. Miri, A. B. Aceves, T. Kottos, V. Kovanis, and D. N. Christodoulides, Bragg solitons in nonlinear PT-symmetric periodic potentials, Phys. Rev. A 86(3), 033801 (2012) https://doi.org/10.1103/PhysRevA.86.033801
6	S. Nixon, L. Ge, and J. Yang, Stability analysis for solitons in PT-symmetric optical lattices, Phys. Rev. A 85(2), 023822 (2012) https://doi.org/10.1103/PhysRevA.85.023822
7	S. Nixon and J. Yang, Pyramid diffraction in parity-time-symmetric optical lattices, Opt. Lett. 38(11), 1933 (2013) https://doi.org/10.1364/OL.38.001933
8	M. Wimmer, A. Regensburger, M. A. Miri, C. Bersch, D. N. Christodoulides, and U. Peschel, Observation of optical solitons in PT-symmetric lattices, Nat. Commun. 6, 7782 (2015) https://doi.org/10.1038/ncomms8782
9	J. Huang, H. Li, X. Zhang, and Y. Li, Transmission, reflection, scattering, and trapping of traveling discrete solitons by C and V point defects, Front. Phys. 10(2), 104201 (2015) https://doi.org/10.1007/s11467-014-0452-y
10	G. Chen, H. C. Wang, and Z. Chen, Discrete vortices on anisotropic lattices, Front. Phys. 10(4), 104206 (2015) https://doi.org/10.1007/s11467-015-0494-9
11	F. Kh. Abdullaev, V. A. Brazhnyi, and M. Salerno, Scattering of gap solitons by PT-symmetric defects, Phys. Rev. A 88(4), 043829 (2013) https://doi.org/10.1103/PhysRevA.88.043829
12	C. Li, C. Huang, H. Liu, and L. Dong, Multipeaked gap solitons in PT-symmetric optical lattices, Opt. Lett. 37(21), 4543 (2012) https://doi.org/10.1364/OL.37.004543
13	H. C. Wang, D. X. Ling, S. Q. Zhang, X. Zhu, and Y. J. He, Gap solitons in parity-time complex superlattice with dual periods, Chin. Phys. B 23(6), 064208 (2014) https://doi.org/10.1088/1674-1056/23/6/064208
14	C. Li, H. Liu, and L. Dong, Multi-stable solitons in PT-symmetric optical lattices, Opt. Express 20, 16823 (2012)
15	S. Hu and W. Hu, Defect solitons in saturable nonlinearity media with parity-time symmetric optical lattices, Physica B 429, 28 (2013) https://doi.org/10.1016/j.physb.2013.07.023
16	P. Cao, X. Zhu, Y. He, and H. Li, Gap solitons supported by parity-time-symmetric optical lattices with defocusing saturable nonlinearity, Opt. Commun. 316, 190 (2014) https://doi.org/10.1016/j.optcom.2013.12.021
17	C. Yin, Y. He, H. Li, and J. Xie, Solitons in parity-time symmetric potentials with spatially modulated nonlocal nonlinearity, Opt. Express 20(17), 19355 (2012) https://doi.org/10.1364/OE.20.019355
18	X. Zhu, H. Li, H. Wang, and Y. He, Nonlocal multihump solitons in parity-time symmetric periodic potentials, J. Opt. Soc. Am. B 30(7), 1987 (2013) https://doi.org/10.1364/JOSAB.30.001987
19	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(4), 043818 (2011) https://doi.org/10.1103/PhysRevA.84.043818
20	Z. Shi, H. Li, X. Zhu, and X. Jiang, Nonlocal bright spatial solitons in defocusing Kerr media supported by PT-symmetric potentials, Europhys. Lett. 98(6), 64006 (2012) https://doi.org/10.1209/0295-5075/98/64006
21	H. Li, X. Jiang, X. Zhu, and Z. Shi, Nonlocal solitons in dual-periodic PT-symmetric optical lattices, Phys. Rev. A 86(2), 023840 (2012) https://doi.org/10.1103/PhysRevA.86.023840
22	C. Yin, Y. He, H. Li, and J. Xie, Solitons in parity-time symmetric potentials with spatially modulated nonlocal nonlinearity, Opt. Express 20(17), 19355 (2012) https://doi.org/10.1364/OE.20.019355
23	X. Zhu, H. Li, H. Wang, and Y. He, Nonlocal multihump solitons in parity-time symmetric periodic potentials, J. Opt. Soc. Am. B 30(7), 1987 (2013) https://doi.org/10.1364/JOSAB.30.001987
24	H. Li, Z. Shi, X. Jiang, and X. Zhu, Gray solitons in parity-time symmetric potentials, Opt. Lett. 36(16), 3290 (2011) https://doi.org/10.1364/OL.36.003290
25	S. V. Dmitriev, A. A. Sukhorukov, and Y. S. Kivshar, Binary parity-time-symmetric nonlinear lattices with balanced gain and loss, Opt. Lett. 35(17), 2976 (2010) https://doi.org/10.1364/OL.35.002976
26	D. Leykam, V. V. Konotop, and A. S. Desyatnikov, Discrete vortex solitons and parity time symmetry, Opt. Lett. 38(3), 371 (2013) https://doi.org/10.1364/OL.38.000371
27	C. Huang, C. Li, and L. Dong, Stabilization of multipole-mode solitons in mixed linear-nonlinear lattices with a PT-symmetry, Opt. Express 21(3), 3917 (2013) https://doi.org/10.1364/OE.21.003917
28	C. Li, C. Huang, H. Liu, and L. Dong, Multipeaked gap solitons in PT-symmetric optical lattices, Opt. Lett. 37(21), 4543 (2012) https://doi.org/10.1364/OL.37.004543
29	Y. V. Kartashov, Vector solitons in parity-time-symmetric lattices, Opt. Lett. 38(14), 2600 (2013) https://doi.org/10.1364/OL.38.002600
30	S. Hu and W. Hu, Optical solitons in the parity-time-symmetric Bessel complex potential, J. Phys. At. Mol. Opt. Phys. 45(22), 225401 (2012) https://doi.org/10.1088/0953-4075/45/22/225401
31	H. Wang, D. Ling, G. Chen, X. Zhu, and Y. He, Defect solitons in nonlinear optical lattices with parity-time symmetric Bessel potentials, Eur. Phys. J. D 69(1), 31 (2015) https://doi.org/10.1140/epjd/e2014-50668-2

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