量子光学学报, 2016, 22 (4): 369, 网络出版: 2016-12-09
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
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。
Abstract
Based on the model of nonlinear Schrdinger 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.
李金金, 杨荣草, 田晋平, 薛文瑞. 非线性超材料中自孤子的传输特性研究[J]. 量子光学学报, 2016, 22(4): 369. LI Jin-jin, YANG Rong-cao, TIAN Jin-ping, XUE Wen-rui. Studies on Propagation of Autosolitons in Nonlinear Metamaterials[J]. Acta Sinica Quantum Optica, 2016, 22(4): 369.