Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

doi:10.1088/1674-1056/abf555

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 124204-124204.doi: 10.1088/1674-1056/abf555

Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

Changming Huang(黄长明)^1,†, Hanying Deng(邓寒英)², Liangwei Dong(董亮伟)³, Ce Shang(尚策)⁴, Bo Zhao(赵波)¹, Qiangbo Suo(索强波)¹, and Xiaofang Zhou(周小芳)¹

1 Department of Electronic Information and Physics, Changzhi University, Changzhi 046011, China;
2 School of Photoelectric Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
3 Department of Physics, Shaanxi University of Science & Technology, Xi'an 710021, China;
4 King Abdullah University of Science and Technology(KAUST), Physical Science and Engineering Division(PSE), Thuwal 23955-6900, Saudi Arabia

收稿日期:2021-02-25 修回日期:2021-04-05 接受日期:2021-04-07 出版日期:2021-11-15 发布日期:2021-11-20
通讯作者: Changming Huang E-mail:hcm123_2004@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11704339), the Applied Basic Research Program of Shanxi Province, China (Grant No. 201901D211466), the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2019JM-307), and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP), China (Grant Nos. 2019L0896 and 2019L0905).

Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

Changming Huang(黄长明)^1,†, Hanying Deng(邓寒英)², Liangwei Dong(董亮伟)³, Ce Shang(尚策)⁴, Bo Zhao(赵波)¹, Qiangbo Suo(索强波)¹, and Xiaofang Zhou(周小芳)¹

1 Department of Electronic Information and Physics, Changzhi University, Changzhi 046011, China;
2 School of Photoelectric Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
3 Department of Physics, Shaanxi University of Science & Technology, Xi'an 710021, China;
4 King Abdullah University of Science and Technology(KAUST), Physical Science and Engineering Division(PSE), Thuwal 23955-6900, Saudi Arabia

Received:2021-02-25 Revised:2021-04-05 Accepted:2021-04-07 Online:2021-11-15 Published:2021-11-20
Contact: Changming Huang E-mail:hcm123_2004@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11704339), the Applied Basic Research Program of Shanxi Province, China (Grant No. 201901D211466), the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2019JM-307), and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP), China (Grant Nos. 2019L0896 and 2019L0905).

摘要/Abstract

摘要： We investigate the properties of fundamental, multi-peak, and multi-peaked twisted solitons in three types of finite waveguide lattices imprinted in photorefractive media with asymmetrical diffusion nonlinearity. Two opposite soliton self-bending signals are considered for different families of solitons. Power thresholdless fundamental and multi-peaked solitons are stable in the low power region. The existence domain of two-peaked twisted solitons can be changed by the soliton self-bending signals. When solitons tend to self-bend toward the waveguide lattice, stable two-peaked twisted solitons can be found in a larger region in the middle of their existence region. Three-peaked twisted solitons are stable in the lower (upper) cutoff region for a shallow (deep) lattice depth. Our results provide an effective guidance for revealing the soliton characteristics supported by a finite waveguide lattice with diffusive nonlocal nonlinearity.

关键词: optical solitons, diffusive nonlocal nonlinearity, linear stability analysis

Abstract: We investigate the properties of fundamental, multi-peak, and multi-peaked twisted solitons in three types of finite waveguide lattices imprinted in photorefractive media with asymmetrical diffusion nonlinearity. Two opposite soliton self-bending signals are considered for different families of solitons. Power thresholdless fundamental and multi-peaked solitons are stable in the low power region. The existence domain of two-peaked twisted solitons can be changed by the soliton self-bending signals. When solitons tend to self-bend toward the waveguide lattice, stable two-peaked twisted solitons can be found in a larger region in the middle of their existence region. Three-peaked twisted solitons are stable in the lower (upper) cutoff region for a shallow (deep) lattice depth. Our results provide an effective guidance for revealing the soliton characteristics supported by a finite waveguide lattice with diffusive nonlocal nonlinearity.

Key words: optical solitons, diffusive nonlocal nonlinearity, linear stability analysis

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)

Changming Huang(黄长明), Hanying Deng(邓寒英), Liangwei Dong(董亮伟), Ce Shang(尚策), Bo Zhao(赵波), Qiangbo Suo(索强波), and Xiaofang Zhou(周小芳). Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity[J]. 中国物理B, 2021, 30(12): 124204-124204.

参考文献

[1] Aitchison J S, Weiner A M, Silberberg Y, Oliver M K, Jackel J L, Leaird D E, Vogel E M and Smith P W E 1990 Opt. Lett. 15 471
[2] Królikowski W and Bang O 2000 Phys. Rev. E 63 016610
[3] Kartashov Y V, Vysloukh V A and Torner L 2004 Phys. Rev. Lett. 93 153903
[4] Xu Z, Kartashov Y V and Torner L 2005 Opt. Lett. 30 3171
[5] Xu Z, Kartashov Y V and Torner L 2005 Phys. Rev. Lett. 95 113901
[6] Lederer F, Stegeman G I, Christodoulides D N, Assanto G, Segev M and Silberberg Y 2008 Phys. Rep. 463 1
[7] Kartashov Y V, Vysloukh V A and Torner L 2009 Prog. Opt. 52 63
[8] Kartashov Y V, Malomed B A and Torner L 2011 Rev. Mod. Phys. 83 247
[9] Dabby F W and Whinnery J R 1968 Appl. Phys. Lett. 13 284
[10] Dreischuh A, Paulus G G, Zacher F, Grasbon F and Walther H 1999 Phys. Rev. E 60 6111
[11] Henninot J F, Debailleul M and Warenghem M 2002 Mol. Cryst. Liq. Cryst. 375 631
[12] Shi X, Malomed B A, Ye F and Chen X 2012 Phys. Rev. A 85 053839
[13] Conti C, Peccianti M and Assanto G 2003 Phys. Rev. Lett. 91 073901
[14] Conti C, Peccianti M and Assanto G 2004 Phys. Rev. Lett. 92 113902
[15] Khoo I C 2009 Phys. Rep. 471 221
[16] Duree G C, Shultz J L, Salamo G J, Segev M, Yariv A, Crosignani B, Porto P D, Sharp E J and Neurgaonkar R R 1993 Phys. Rev. Lett. 71 533
[17] DelRe E, Ciattoni A and Agranat A J 2001 Opt. Lett. 26 908
[18] Aleshkevich V, Vysloukh V and Kartashov Y 2000 Opt. Commun. 174 277
[19] Aleshkevich V, Kartashov Y and Vysloukh V 2000 Phys. Rev. E 63 016603
[20] Aleshkevich V, Vysloukh V and Kartashov Y 2001 Opt. Quantum Electron. 33 1205
[21] Aleshkevich V, Kartashov Y, Egorov A and Vysloukh V 2001 Phys. Rev. E 64 056610
[22] Dong L and Wang H 2006 Appl. Phys. B 84 465
[23] Xu Z, Kartashov Y V and Torner L 2006 Opt. Lett. 31 2027
[24] Kartashov Y V, Vysloukh V A and Torner L 2008 Opt. Lett. 33 773
[25] Zhan K and Hou C 2014 Opt. Express 22 11646
[26] Zhan K, Jiao Z, Li X, Jia Y and Zhang H 2015 Opt. Express 23 24048
[27] Kartashov Y V, Vysloukh V A and Torner L 2010 Phys. Rev. A 82 013806
[28] Zhang H, Zhu D, Xu D, Cai C, Zeng H and Tian Y 2013 J. Opt. Soc. Am. B 30 319
[29] Zhang H, Xu F, Zhu D, Zhang L, Xu D and Tian Y 2014 Opt. Express 22 995
[30] Zhang H, Lü H, Luo J and Sun L 2016 Chin. Phys. B 25 084210
[31] Dragonas K and Kominis Y 2019 Phys. Rev. E 100 052209
[32] Lobanov V E, Kartashov Y V, Vysloukh V A and Torner L 2012 Opt. Lett. 37 4540
[33] Zhang H, Xu F, Zhu D, Zhang L, Xu D and Tian Y 2014 Opt. Express 22 995
[34] Christodoulides D N and Carvalho M 1995 J. Opt. Soc. Am. B 12 1628
[35] Christodoulides D and Coskun T H 1996 Opt. Lett. 21 1220
[36] Sakaguchi H and Malomed B 2004 J. Phys. B 37 1443

Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

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]	Wen-Yan Zhang(张文艳), Kun Yang(杨坤), Li-Jie Geng(耿利杰), Nan-Nan Liu(刘楠楠), Yun-Qi Hao(郝蕴琦), Tian-Hao Xian(贤天浩), and Li Zhan(詹黎). Generation of domain-wall solitons in an anomalous dispersion fiber ring laser[J]. 中国物理B, 2021, 30(11): 114212-114212.
[3]	王红成, 魏亚东, 黄晓园, 陈桂华, 叶海. Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential[J]. 中国物理B, 2018, 27(4): 44203-044203.
[4]	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.
[5]	Rajib Basu, G. C. Layek. Cross-diffusive effects on the onset of the double-diffusive convection in a horizontal saturated porous fluid layer heated and salted from above[J]. 中国物理B, 2013, 22(5): 54702-054702.
[6]	樊双莉, 石义萍, 张红军, 孙辉 . Tunneling-induced ultraslow bright and dark solitons in quantum wells[J]. 中国物理B, 2012, 21(11): 114203-114203.
[7]	骆斌, 杭超, 李慧军, 黄国翔. Ultraslow optical solitons via electromagnetically induced transparency: a density-matrix approach[J]. 中国物理B, 2010, 19(5): 54214-054214.
[8]	莫业柳, 何红弟, 薛郁, 时伟, 卢伟真. Effect of multi-velocity-difference in traffic flow[J]. 中国物理B, 2008, 17(12): 4446-4450.
[9]	刘劲松. Quasistable bright dissipative holographic solitons in photorefractive two-wave mixing system[J]. 中国物理B, 2007, 16(1): 165-172.
[10]	刘劲松, 张慧蓝, 张光勇, 王程. Evolution and stability of spatial solitons in a photorefractive two-wave mixing system[J]. 中国物理B, 2006, 15(2): 394-402.
[11]	张光勇, 刘劲松. Effects of temperature on the stability of separatescreening bright--dark spatial soliton pair[J]. 中国物理B, 2006, 15(11): 2631-2637.
[12]	陈雄文, 林旭升, 兰胜. Subpicosecond pulse compression in nonlinear photonic crystal waveguides based on the formation of high-order optical solitons[J]. 中国物理B, 2005, 14(2): 366-371.
[13]	刘劲松, 郝中华. Coupling and stability of bright holographic soliton pairs[J]. 中国物理B, 2004, 13(5): 704-711.
[14]	刘劲松, 郝中华. Self-deflection of a bright soliton in a separate bright－dark spatial soliton pair based on a higher-order space charge field[J]. 中国物理B, 2003, 12(10): 1124-1134.
[15]	朱善华, 黄国翔, 崔维娜. Vectorial coupled-mode solitons in one-dimensional photonic crystals[J]. 中国物理B, 2002, 11(9): 919-925.