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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