Defect solitons in parity-time symmetric superlattices with focusing saturable nonlinearity

Defect solitons in parity-time symmetric superlattices with focusing saturable nonlinearity
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具有聚焦可饱和非线性的宇称时间对称超晶格中的缺陷孤子

DOI:
10.1016/j.optcom.2015.03.067
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发表时间:
2015-08
期刊:
Opt. Commu.
影响因子:
--
通讯作者:
Tianshu Lai
Tianshu Lai
中科院分区:
其他
文献类型:
--
作者:
Lei Li;Huagang Li;Tianshu Lai

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在具有宇称-时间(PT)对称势和聚焦饱和非线性的一维光学超晶格中,发现缺陷超晶格孤子(DSS)存在于缺陷处。我们用数值方法讨论了离散空间孤立子的存在性和稳定性,发现饱和参数和缺陷强度ε都对孤立子的功率、存在性和稳定区域有显着影响。对于给定的饱和参数和缺陷强度ε(传播常数μ),DSS的功率随μ(ε)的增大(减小)而增大。对于正缺陷和零缺陷,直接带隙仅存在于半无限带隙中,而对于负缺陷,直接带隙不仅存在于半无限带隙中,而且存在于第一有限带隙中。此外,数值计算还表明,当饱和非线性增大到一定程度时,孤子功率随μ的增大速率非常快,负缺陷引起的DSs的稳定区域将明显变窄并最终消失.
In this paper, we find that defect superlattice solitons (DSSs) exist at the defect site in one-dimensional optical superlattices with a parity-time (PT) symmetric potential and focusing saturable nonlinearity. We discuss the existence and stability of DSSs numerically and find that both the saturation parametersand the defect strengthεcan affect the power, the existence and stable regions of solitons significantly. For given saturation parametersand defect strengthε(propagation constantμ), the power of DSSs increases with the increase (decrease) ofμ(ε). For positive and zero defects, DSSs only exist in the semi-infinite band gap, whereas for negative defects, DSSs exist not only in the semi-infinite band gap but also in the first finite band gap. Besides, our numerical calculations show that when the saturation nonlinearity increases up to some level, the increasing rate of soliton power withμis very fast and the stable regions of DSSs will become obviously narrow and eventually disappear with a decrease ofεfor negative defects.
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