| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Gap solitons in parity–time complex superlattice with dual periods |
| Wang Hong-Chenga, Ling Dong-Xionga, Zhang Shao-Qianga, Zhu Xingb, He Ying-Jic |
a College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China;
b State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China;
c School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China |
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Abstract A theory is presented to investigate the existence and propagation stability of gap solitons in a parity-time (PT) complex superlattice with dual periods. In this superlattice, the real and imaginary parts are both in the form of superlattices with dual periods. In the self-focusing nonlinearity, PT solitons can exist in the semi-infinite gap. However, only those gap solitons with low powers can propagate stably, whereas the high-power solitons present periodic oscillation and simultaneously suffer energy decay. In the self-defocusing nonlinearity, PT solitons only exist in the first gap and all these solitons are stable.
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Received: 11 October 2013
Revised: 07 November 2013
Published: 15 June 2014
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PACS:
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.65.Jx
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(Beam trapping, self-focusing and defocusing; self-phase modulation)
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42.65.Wi
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(Nonlinear waveguides)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61308019) and the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province, China (Grant No. Yq2013157). |
Corresponding Authors:
Wang Hong-Cheng
E-mail: hc_wang@126.com
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Cite this article:
Wang Hong-Cheng, Ling Dong-Xiong, Zhang Shao-Qiang, Zhu Xing, He Ying-Ji Gap solitons in parity–time complex superlattice with dual periods 2014 Chin. Phys. B 23 064208
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| [1] |
Ruschhaupt A, Delgado F and Muga J G 2005 J. Phys. A: Math. Gen. 38 L171
|
| [2] |
Rüter C E, Makris K G, El-Ganainy R, Christodoulides D N, Segev M and Kip D 2010 Nat. Phys. 6 192
|
| [3] |
El-Ganainy R, Makris K G, Christodoulides D N and Musslimani Z H 2007 Opt. Lett. 32 2632
|
| [4] |
Musslimani Z H, Makris K G, El-Ganainy R and Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
|
| [5] |
Abdullaev F Kh, Kartashov Y V, Konotop V V and Zezyulin D A 2011 Phys. Rev. A 83 041805
|
| [6] |
Shi Z, Jiang X, Zhu X and Li H 2011 Phys. Rev. A 84 053855
|
| [7] |
Nixon S, Ge L and Yang J 2012 Phys. Rev. A 85 023822
|
| [8] |
Li H, Shi Z, Jiang X and Zhu X 2011 Opt. Lett. 36 3290
|
| [9] |
Kartashov Y V 2013 Opt. Lett. 38 2600
|
| [10] |
He Y, Zhu X, Mihalache D, Liu J and Chen Z 2012 Phys. Rev. A 85 013831
|
| [11] |
Huang C, Li C and Dong L 2013 Opt. Express 21 3917
|
| [12] |
Li C Y, Huang C M and Dong L W 2013 Chin. Phys. B 22 074209
|
| [13] |
Chen W and Mill D L 1987 Phys. Rev. Lett. 58 160
|
| [14] |
Driben R and Malomed B A 2011 Opt. Lett. 36 4323
|
| [15] |
Alexeeva N V, Barashenkov I V, Sukhorukov A A and Kivshar Y S 2012 Phys. Rev. A 85 063837
|
| [16] |
Zhu X, Wang H, Zheng L X, Li H and He Y J 2011 Opt. Lett. 36 2680
|
| [17] |
Hu S M and Hu W 2012 Chin. Phys. B 21 024212
|
| [18] |
Yang J and Lakoba T I 2007 Stud. Appl. Math. 118 153
|
| [19] |
Yang J 2010 Nonlinear Waves in Integrable and Nonintegrable Systems (Philadelphia: SIAM)
|
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