摘要
为了研究宇称-时间对称(parity-time)对称,简称PT对称,Scarff复合势中基态孤子的传输特性,采用了有限差分法数值求解了PT对称Scarff复合势中的线性情况,自聚焦和自散焦非线性情形。数值得到了线性情况下不同势深度中的PT对称破坏点、特征值和特征函数。也得到了非线性情况下自聚焦与自散焦介质中的基态孤子的传输特性。研究结果表明:基态线性模的本征值恰好等于相同调制深度的基态孤子存在时的临界传播常数,基态孤子能稳定存在于整个自散焦煤质和自聚焦煤质中的低能区域。PT对称Scarff复合势的这些特性在光开关领域有一定的应用前景。
In order to study propagation properties of fundamental solitons in Parity-Time(PT)symmetric Scarff potentials,finite difference method was used to study the linear case,and self-focusing and self-defocusing nonlinear cases in the system.The PT-breaking points,eigenvalues and fundamental linear modes for diffferent modulated depths of the complex potential are studied numerically.The existence and stability of fundamental solitons are researched in self-focusing and self-defocusing media.The results show that the eigenvalue for fundamental linear mode is equal to the critical propagation constant with zero power of fundamental solitons existence.Fundamental solitons are stable in the whole self-defocusing region and the low power range in the self-focusing region.These properties of PT symmetric Scarff potentials have certain application prospects in the field of optical switching.
作者
陈海波
钟婷婷
胡素梅
CHEN Haibo;ZHONG Tingting;HU Sumei(Dept of Physics,Guangdong University of Petrochemical Technology,Maoming 525000,China)
出处
《光学技术》
CAS
CSCD
北大核心
2020年第3期380-384,共5页
Optical Technique
基金
国家自然科学基金项目(1150405)
广东省自然科学基金项目(2016A030307025,2017A030307004,2018A030307028和2019A1515010916)
广东省基础研究及应用研究重大项目(517042)
茂名市科技专项项目(2019018001)
广东省教育教学研究项目(234317)。
