非线性超材料中自孤子的传输特性研究  

Studies on Propagation of Autosolitons in Nonlinear Metamaterials

作　　者：李金金[1] 杨荣草[1] 田晋平[2] 薛文瑞[1] LI Jin-jin YANG Rong-cao TIAN Jin-ping XUE Wen-rui(College of Physics ＆ Electronics Engineering, Shanxi University, Taiyuan 030006, China Computer Center, Shanxi University, Taiyuan 030006, China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006 [2]山西大学计算中心,山西太原030006

出　　处：《量子光学学报》2016年第4期369-378,共10页Journal of Quantum Optics

基　　金：国家自然科学基金(No.61271160);山西省自然科学基金(No.2016011038)

摘　　要：本文以非线性增益超材料中描述电磁波传输的非线性薛定谔方程为模型,采用拟解法给出了线性增益和非线性损耗平衡下精确的具有非线性啁啾的自孤子解,详细研究了该自孤子在不同非线性电极化或/和磁极化超材料中的存在条件及其传输特性。结果发现,当非线性损耗与线性增益平衡时,超材料中可以存在两种形式的自孤子;而且在不同非线性极化的超材料中两种自孤子的振幅、波宽及空间频率啁啾随着归一化频率、增益系数的变化也不同,这意味着可以通过改变入射波的频率、选择具有不同非线性极化和不同增益的超材料来调节自孤子的传输特性。Based on the model of nonlinear Schrdinger equation describing the propagation of electromagnetic waves in nonlinear metamaterials with gain,the exact autosoliton solutions with nonlinear chirp were obtained under the balance of linear gain and nonlinear loss by the ansatz method.The existence conditions and propagation properties of the autosolitons in metamaterials with different electric and/or magnetic nonlinear polarizations are investigated in detail.The results show that there are two kinds of autosolitons can exist in metamaterials when the nonlinear loss balances the linear gain.Furthermore,for different nonlinear electric and/or magnetic polarization metamaterials,the amplitude,beam width and spatial chirp of these two autosolitons are different with the change of normalized frequency and gain coefficients,which means that we can adjust the propagation properties of the autosolitons by changing the frequency of the incident waves and choosing metamaterials with different nonlinear polarizations and gain.

关 键 词：超材料 自孤子 非线性啁啾 增益 损耗 

分 类 号：O431[机械工程—光学工程]