Parity-Time对称Scarff势中多级孤子的传输特性  

Transmission of Multipole Solitons in Parity-Time Symmetric Scarff Potentials

作　　者：胡素梅[1] 钟婷婷 吴红梅 周青云 陈海波[1] HU Su-mei;ZHONG Ting-ting;WU Hong-mei;ZHOU Qing-yun;CHEN Hai-bo(Department of Physics,Guangdong University of Petrochemical Technology,Maoming,Guangdong 525000,China)

机构地区：[1]广东石油化工学院物理系,广东茂名525000

出　　处：《光子学报》2018年第9期192-199,共8页Acta Photonica Sinica

基　　金：国家自然科学基金(No.11504059);广东省自然科学基金(Nos.2017A030307004;2016A030307025;2018A030307028;2015A030313873);广东省基础研究及应用研究重大项目(No.517042);广东省科技计划项目(No.2015A010105032);广东石油化工学院质量工程项目和教研项目(Nos.660470;660635;660677;660684);广东大学生科技创新培育专项项目(No.pdjhb0342);大学生创新创业项目(Nos.201611656081;201711656096)~~

摘　　要：研究了线性情况,自聚焦和自散焦非线性情况下Parity-Time对称Scarff复合势中二级孤子和三级孤子的存在与稳定性.对于线性情况,数值得到了不同调制深度下的Parity-Time对称Scarff复合势中的Parity-Time对称破坏点、本征值和多级线性模.对于非线性情况,研究了自聚焦与自散焦介质中的二级孤子和三级孤子的存在与稳定性.研究结果表明:对于确定的调制深度,二级线性模和三级线性模的本征值恰好等于相应的调制深度下二级孤子和三级孤子存在的临界传播常数b_c.在自聚焦与自散焦介质中,多级孤子能稳定存在于靠近临界传播常数b_c的区域.The existence and stability of dipole and tripole solitons in Parity-Time(PT)symmetric Scarff complex potentials are investigated,including linear case,and self-focusing and self-defocusing nonlinear cases.For linear case,the PT-breaking points,eigenvalues and multipole linear modes for different modulated depths of PT symmetry Scarff complex potential are obtained numerically.For nonlinear cases,the existence and stability of multipole solitons are studied in self-focusing and self-defocusing media.For a fixed modulated depth,the eigenvalue for multipole linear modes is equalt to the critical propagation constant b c of multipole solitons existence.Multipole solitons are stable with the propagation constants close to b c both for self-focusing and self-defocusing nonlinearities.

关 键 词：宇称-时间对称 Scarff势 本征值 线性模 多级孤子 

分 类 号：O436[机械工程—光学工程]