Nonlinear complementarity as unconstrained optimization

Several methods for solving the nonlinear complementarity problem (NCP) are developed. These methods are generalizations of the recently proposed algorithms of Mangasarian and Solodov (Ref. 1) and are based on an unconstrianed minimization formulation of the nonlinear complementarity problem. It is shown that, under certain assumptions, any stationary point of the unconstrained objective function is already a solution of NCP. In particulr, these assumptions are satisfied by the mangasarian and Soolodov implicit Lagranian functioin. Furthermore, a special Newton-type method is suggested, and conditions for its local quadratic convergence are given. Finally, some preliminary numerical results are presented.The author would like to thank Dr. Oswald Knoth (Leipzig) for pointing out that the equivalence of Lemma 2.2. is not true for complementarity problems which have no solutions. He is also grateful to the anonymous referencees for their helpful comments.     

Life-span of Classical Solutions of Nonlinear Hyperbolic Systems

In this paper, we give a lower bound for the life-span of classical solutions to the Cauchy problem for first order nonlinear hyperbolic systems with small initial data, which is sharp, and give its application to the system of one-dimensional gas dynamics; for the Cauchy problem of the system of one-dimensional gas dynamics with a kind of small oscillatory initial data, we obtain a precise estimate for the life-span of classical solutions.     

利用NOLM实现连续光到归零码脉冲和波长的同时变换

利用非线性光学环路镜成功地实现了连续光到超短光脉冲和波长的同时变换.最大波长变换间距大于35nm.实验系统中采用增益开关分布反馈半导体激光器(GSDFB-LD)产生的超短光脉冲作为控制光,采用波长可调半导体激光器作为信号光.在变换过程中在1.55μm附近首次观测到了波长的反相变换.当信号光和控制光脉冲走离大于40.7ps时,变换信号脉冲发生畸变,变换脉冲展宽.     

实现20Gbit/s的OTDM孤子信号56km色散位移光纤的传输

在国内最先采用孤子的方式将8×2.5Gb/s的OTDM信号在色散位移光纤中传输了56.1km,对8×2.5Gb/s的OTDM进行解复用后进行了误码测量,系统功率代价为2.9dB.系统采用增益开关半导体激光器作光孤子源,高Q电滤波方式提取时钟,非线性光学环路镜解复用。孤子脉冲最大半宽度为20ps,传输光纤平均色散1.2ps/nm/km。     

里兹方法在光波导理论中的应用

本文讨论了在三层平板介质波导中TE波的传播问题.三层平板的芯区由Kerr介质构成,其折射率平方(n²)的剖面分布随x作抛物分布变化.本文将应用变分法中的里兹方法,求出亥姆霍兹方程的第一级近似的解析解.     

利用非线性光纤环路镜将20Gb/s的OTDM信号变换26nm

本文利用非线性光纤环路镜成功地将中心波长为1533.9nm的20Gb/s(8×2.5Gb/s)的OTDM信号变换到1553.3nm和1560.3nm,变换的最大间距达26nm,测量了变换后信号光的眼图和光谱图,并对实验结果进行了分析。     

非线性光环境中引入的反向光相移的补偿

研究利用基于非线性光环境(NOLM)的波长变换器实现非归零(NRZ)码的波长变换,对基于NOLM的波长变换器进行理论分析,指出由于NOLM中引入的反向光相移的影响,无法实现NRZ码的波长变换,给出了对反向光相移进行补偿的方法,通过计算指出,补偿反向光相移后可以实现NRZ码的波长变换.     

反向交叉相位调制对NOLM开关特性影响

提出了NOLM中反向信号脉冲与控制脉冲耦合方程,研究了正、反向信号脉冲在传输过程中共同作用的非线性相移,分析了高斯脉冲和NRZ码在此情况下的开关特性,得到了有反向交叉相位调制时的第一最佳解复用长度、开关窗口和输出信号波形等对实际应用有价值的数据和波形.