超常介质中精确的亮暗类孤子的传输特性  

The Transmission Properties of Exact Bright-like and Dark-like Solitons in Metamaterials

作　　者：董佳[1] 靳羽茜[1] 陈诚[1] 杨荣草[1] 

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2013年第2期162-170,共9页Journal of Quantum Optics

基　　金：国家自然科学基金(No.61178013);山西省回国留学人员科研资助项目(No.2011-002);山西省自然科学基金(No.2008012002-1)

摘　　要：基于超常介质中超短脉冲传输的非线性薛定谔方程,解析得到了两种精确的亮、暗类孤子解,并详细讨论了在超常介质中该亮、暗类孤子的存在条件和传输特性。结果发现,在自散焦超常介质的正、负折射区域,该类亮孤子可以存在于反常色散区,这与常规介质中亮孤子存在于自散焦介质中的正常色散区不同;而在自聚焦超常介质的反常色散区,该类暗孤子可以存在于正、负折射率区,在自散焦超常介质的反常色散区,该类暗孤子仅存在于负折射区间。此外,我们数值研究了该类亮、暗孤子的存在条件不能严格满足时的传输稳定性,结果显示,在一定的归一化频率区间,该类亮、暗孤子都能够较稳定地传输。Based on the generalized nonlinear Schrodinger equation describing the propagation of ultrashort pulses in metamaterials, the exact bright-like and dark-like soliton solutions are obtained. And the existence conditions and the propagation properties of these bright-like and dark-like solitons are discussed in detail. The results show that the bright-like soliton can exist in the anomalous negative refraction regions of self-defocusing matematerials, which is quite dispersion regime in positive and different from the counterparts in conventional media existing in the normal dispersion regime of self-defocusing media; for the dark-like soliton, it can exist in positive and negative refraction rejoins in the anomalous dispersion regime of self- focusing metameterials, whereas it can only exist in the negative refraction region in the anomalous dispersion regime of self-defocusing metameterials. In addition, we numerically investigate the transmission stabilities of the bright-like and the dark-like solitons when their existence conditions cannot be strictly satisfied. The results show that the bright-like and the dark-like solitons can propagate stably in certain normalized frequency ranges.

关 键 词：超常介质 类亮孤子 类暗孤子 稳定性 

分 类 号：O431[机械工程—光学工程]