负折射介质中孤波间相互作用  

Research on Interactions Between Solitary Waves in Negative-index Materials

作　　者：陈诚[1] 董佳[1] 杨荣草[1] 

机构地区：[1]山西大学物理电子工程学院,太原030006

出　　处：《光子学报》2012年第3期288-293,共6页Acta Photonica Sinica

基　　金：国家自然科学基金(No.60878008);教育部新教师基金(No.200801081014);山西省自然科学基金(No.2008012002-1);山西省回国留学人员科研资助项目(No.2011-002)资助

摘　　要：以描述负折射介质中超短脉冲传输的归一化非线性薛定谔方程为模型,采用对称分步傅里叶算法研究了负折射介质中亮、暗孤波间的相互作用.数值模拟发现:当孤波的初始频移为零时,亮孤波间的相互作用与常规介质中类似;当孤波的初始频移不为零时,其传输速度和相互作用明显受三阶色散和自陡峭效应的影响,主要表现为相互排斥.而负折射介质中暗孤波间的相互作用与常规介质中的相互作用类似,无论暗孤波是否存在初始频移,暗孤波间的相互作用在三阶色散和自陡峭的影响下都表现为相互排斥.结果表明,通过调节三阶色散和自陡峭系数可以在一定程度上抑制负折射介质中亮、暗孤波间的相互作用.该研究结果为负折射介质在未来高速通信中的应用提供了理论依据.Based on the higher-order nonlinear Schrdinger equation describing the propagation of ultrashort pulses in negative-index materials,the interactions of bright and dark solitary waves in negative-index materials are studied using symmetrical Split-step Fourier method,respectively.Lots of numerical results show that when initial frequency shift is zero,the interactions between bright solitary waves are similar to those of bright solitons in conventional materials;when initial frequency shift is nonzero,the transmission speed and interactions are influenced by the third-order dispersion and the self-steepening effects.While the interactions between dark solitary waves are similar to those of dark solitary waves in conventional materials behaving repulsion each other under the influence of the third-order dispersion and the self-steepening effects whether initial frequency shift is zero or not.The results show that the interactions of bright and dark solitary waves in negative-index materials may be suppressed to some extent.The obtained results provide a theoretical basis for the applications of negative-index materials in future high-speed communication.

关 键 词：负折射介质 亮孤波 暗孤波 相互作用 

分 类 号：O431[机械工程—光学工程]