The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials

doi:10.1088/1674-1056/21/2/024212

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 24212-024212.doi: 10.1088/1674-1056/21/2/024212

胡素梅¹ ²,胡巍¹

收稿日期:2011-06-09 修回日期:2011-08-05 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 胡巍,huwei@scnu.edu.cn E-mail:huwei@scnu.edu.cn

The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials

Hu Su-Mei(胡素梅)^a)b) and Hu Wei(胡巍)^a)^†

a. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China;
b. Department of Physics, Guangdong University of Petrochemical Technology, Maoming 525000, China

Received:2011-06-09 Revised:2011-08-05 Online:2012-01-30 Published:2012-01-30
Contact: Hu Wei,huwei@scnu.edu.cn E-mail:huwei@scnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10804033 and 10674050), the Program for Innovative Research (Grant No. 06CXTD005), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200805740002).

摘要/Abstract

Abstract: The existence and stability of defect superlattice solitons in parity-time (PT) symmetric superlattice and simple-lattice complex potentials are reported. Compared with defect simple-lattice solitons in similar potentials, the defect soliton in superlattice has a wider stable range than that in simple-lattice. The solitons' power increases with increasing propagation constant. For the positive defect, the solitons are stable in the whole region where solitons exist in the semi-infinite gap. For the zero defect, the solitons are unstable at the edge of the band. For the negative defect, the solitons propagate with the shape of Y at low propagation constant and propagate stably at the large one.

Key words: defect superlattice solitons, parity-time symmetry

中图分类号: (Propagation, scattering, and losses; solitons)

42.81.Dp

胡素梅, 胡巍. [J]. 中国物理B, 2012, 21(2): 24212-024212.

Hu Su-Mei(胡素梅) and Hu Wei(胡巍) . The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials[J]. Chin. Phys. B, 2012, 21(2): 24212-024212.

参考文献 22

[1]	Makris K G, Ganainy R EI, Christodoulides D N and Musslimani Z H 2010 Phys. Rev. A 81 06387
[2]	Bendix O, Fleischmann R, Kottos T and Shapiro B 2009 Phys. Rev. Lett. 103 030402
[3]	Jin L and Song Z 2009 Phys. Rev. A 80 052107
[4]	West C T, Kottos T and Prosen T 2010 Phys. Rev. Lett. 104 054102
[5]	Musslimani Z H, Makris K G, Ganainy R EI and Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
[6]	Guo A, Salamo G J, Duchesne D, Morandotti R, Volatier-Ravat M, Imez V, Siviloglou G A and Christodoulides D N 2009 Phys. Rev. Lett. 103 093902
[7]	Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 27 270401
[8]	Sukhorukov A A, Xu Z Y and Kivshar Y S 2010 Phys. Rev. Lett. 82 043818
[9]	Yaroslav F Y, Kartashov V, Vysloukh V A and Torner L 2008 Phys. Rev. A 78 013847
[10]	Li Y Y, Pang W, Chen Y Z, Yu Z Q and Zhang H Y 2009 Phys. Rev. A 80 043824
[11]	Brazhnyi V A, Konotop V V and Perez-Garcia V M 2006 Phys. Rev. Lett. 96 060403
[12]	Fedele F, Yang J and Chen Z 2005 Phys. Rev. Lett. 30 1506
[13]	Campbell D K, Flach S and Kivshar Y S 2004 Phys. Today 57 43
[14]	Chen W H, He Y J and Wang H Z 2007 Opt. Express 22 14498
[15]	Zhang Z Y and Xiong S J 1997 Phys. Rev. B 55 10302
[16]	Alekseev K N, Berman G P, Campbell D K, Cannon E H and Cargo M C 1996 Phys. Rev. B 54 10625
[17]	Porter M A, Kevrekidis P G, Carretero-Gonzalez R and Frantzeskakis D J 2006 Phys. Lett. A 352 210
[18]	Ghulinyan M, Oton C J, Gaburro Z, Pavesi L, Toninelli C and Wiersma D S 2005 Phys. Rev. Lett. 94 127401
[19]	Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S, Unnermann A T and Longhi S 2009 Phys. Rev. Lett. 102 076802
[20]	Chen W and Mill D L 1987 Phys. Rev. Lett. 58 160
[21]	Zhou K Y, Guo Z Y, Wang J C and Liu S T 2010 Opt. Lett. 35 172928
[22]	Hang W and Wang J D 2011 Opt. Express 19 4030

The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 22

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Shubin Wang(王树斌), Xin Zhang(张鑫), Guoli Ma(马国利), and Daiyin Zhu(朱岱寅). All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems[J]. 中国物理B, 2023, 32(3): 30506-030506.
[2]	Xu-De Wang(汪徐德), Xu Geng(耿旭), Jie-Yu Pan(潘婕妤), Meng-Qiu Sun(孙梦秋), Meng-Xiang Lu(陆梦想), Kai-Xin Li(李凯芯), and Su-Wen Li(李素文). Real-time observation of soliton pulsation in net normal-dispersion dissipative soliton fiber laser[J]. 中国物理B, 2023, 32(2): 24210-024210.
[3]	Shaokang Bai(白少康), Yujin Xiang(向昱锦), and Zuxing Zhang(张祖兴). Wavelength switchable mode-locked fiber laser with a few-mode fiber filter[J]. 中国物理B, 2023, 32(2): 24209-024209.
[4]	Hongjuan Meng(蒙红娟), Yushan Zhou(周玉珊), Xueping Ren(任雪平), Xiaohuan Wan(万晓欢), Juan Zhang(张娟), Jing Wang(王静), Xiaobei Fan(樊小贝), Wenyuan Wang(王文元), and Yuren Shi(石玉仁). Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice[J]. 中国物理B, 2021, 30(12): 126701-126701.
[5]	Xude Wang(汪徐德), Simin Yang(杨思敏), Mengqiu Sun(孙梦秋), Xu Geng(耿旭), Jieyu Pan (潘婕妤), Shuguang Miao(苗曙光), and Suwen Li(李素文). Generation of multi-wavelength square pulses in the dissipative soliton resonance regime by a Yb-doped fiber laser[J]. 中国物理B, 2021, 30(6): 64212-064212.
[6]	. [J]. 中国物理B, 2021, 30(3): 34210-.
[7]	熊志进, 许庆, 凌黎明. Dark and multi-dark solitons in the three-component nonlinear Schrödinger equations on the general nonzero background[J]. 中国物理B, 2019, 28(12): 120201-120201.
[8]	张永欣, 梁生, 余倩卿, 廉正刚, 董梓年, 王旋, 林裕勤, 邹郁祁, 邢坤, 梁柳雁, 赵小艇, 涂立静. Hollow and filled fiber bragg gratings in nano-bore optical fibers[J]. 中国物理B, 2019, 28(7): 74210-074210.
[9]	赵赛丽, 杨华, 赵奕霖, 肖宇哲. Supercontinuum manipulation based on the influence of chirp on soliton spectral tunneling[J]. 中国物理B, 2018, 27(11): 114219-114219.
[10]	罗智超, 刘萌, 罗爱平, 徐文成. Two-dimensional materials-decorated microfiber devices for pulse generation and shaping in fiber lasers[J]. 中国物理B, 2018, 27(9): 94215-094215.
[11]	王迪, 丁孟, 皮浩洋, 李璇, 杨飞, 叶青, 蔡海文, 魏芳. Influence of intra-cavity loss on transmission characteristics of fiber Bragg grating Fabry-Perot cavity[J]. 中国物理B, 2018, 27(2): 24207-024207.
[12]	任杨, 杨战营, 刘冲, 杨文力. Controllable optical superregular breathers in the femtosecond regime[J]. 中国物理B, 2018, 27(1): 10504-010504.
[13]	刘祥树, 赵立臣, 段亮, 杨战营, 杨文力. Asymmetric W-shaped and M-shaped soliton pulse generated from a weak modulation in an exponential dispersion decreasing fiber[J]. 中国物理B, 2017, 26(12): 120503-120503.
[14]	段利娜, 文进, 樊伟, 王炜. Generation of single and multiple dissipative soliton in an erbium-doped fiber laser[J]. 中国物理B, 2017, 26(10): 104205-104205.
[15]	陈伟, 张学亮, 胡晓阳, 宋章启, 孟洲. Optical pulse evolution in the presence of a probe light in CW-pumped nonlinear fiber[J]. 中国物理B, 2017, 26(6): 64206-064206.