通过有光阑近轴ABCD光学系统激光束的近似解析传输公式

用傅立叶级数展开法研究光束通过有光阑限制的近轴ABCD光学系统的传输特性,导出了光阑透射率函数不同时的传输公式。硬边光阑的情况可作为其它光阑的特例得到,其它光阑也可视作硬边光阑来处理。数值计算表明了该方法快速的优点,并得到与用Collins公式直接积分一致结果。     

柱几何Rayleigh-Taylor不稳定性的数值模拟

给出了柱几何中流体力学方程组及其在数值模拟中采用的计算方法。对二维柱几何Rayleigh-Taylor不稳定性进行数值模拟,在线性阶段与线性理论符合得很好;不稳定性增长进入非线性区域的阈值依赖于界面的位置,并且明显不同于平面情况。     

A vectorial algorithm with finite element method for prediction of powder segregation in metal injection molding

The design of the mold and the choice of the injection parameters for metal injection molding (MIM) is required to maintain homogeneity of the filled mixture. However, powder segregation is unavoidable in MIM because of the significant difference in densities of the metallic powder and the polymer binder. To achieve an effective prediction of segregation effect, a biphasic model based on mixture theory is employed. The viscous behaviors of each phase and the interaction coefficient between the flows of the two phases should be determined. The solution of two coupled Navier–Stokes equations results in a tremendous computation effort. The previous development of an explicit algorithm makes the biphasic simulation much faster than that of the classic methods. However, it is strongly desired to reduce or even eliminate the numerous global solutions for pressure fields at each time step. Hence, a new vectorial algorithm is proposed and developed to perform the simulation only by vectorial operations. It provides the anticipated efficiency in the simulation of biphasic modeling, and the advantage to use the classic elements of equal‐order interpolations. Some results produced by the two algorithms are compared with the experimental values to validate the new vectorial algorithm. Copyright © 2012 John Wiley & Sons, Ltd.     

Slow-wave directional coupler and its applications

The directional coupler and the traveling-wave directional filter made of coupled slow-wave microstrip lines are proposed and their characteristics discussed. These structures exhibit interesting characteristics not readily available in conventional transmission lines.This work is supported by U.S. Army Research Office contract DAAG29-84-K-0076.     

Study of the three-dimensional Ising model on film geometry with the cluster Monte Carlo method

Topological properties of clusters are used to extract critical parameters. This method is tested for the bulk properties ofd=2 percolation and thed=2, 3 Ising model. For the latter we obtain an accurate value of the critical temperatureJ/k _B T _c=0.221617(18). In the case of thed=3 Ising model with film geometry the critical value of the surface coupling at the special transitions is determined as J_1c/J=1.5004(20) together with the critical exponents ₁ ^m =0.237(5) and=0.461(15).     

基于随机效应Wiener退化模型的剩余寿命预测

针对退化率较高的产品具有不稳定的退化路径以及产品个体差异对退化过程的影响,建立了一种新的随机效应退化模型,即漂移参数和扩散参数均为随机变量且两者之间呈线性关系的Wiener退化过程模型.基于该模型获得了产品剩余寿命分布与可靠度函数,同时设计了估计模型参数的EM（expectation maximization）算法.最后,通过分析钛合金疲劳裂纹数据以及与现有模型结果的比较,验证了所建模型的有效性和准确性.     

基于可满足性模理论的CMOL电路单元映射

针对纳米CMOS混合电路(CMOL)单元映射时, 传统的精确算法存在编码变量多、文件存储大导致的求解规模受限问题, 提出了一种基于可满足性模理论(SMT)的CMOL电路单元映射方法, 该方法通过整型编码减小文件存储大小, 通过渐进式求解算法兼顾求解规模和速度. 实验结果表明, 与传统的精确算法相比, 本文提出的方法可大幅减少中间处理文件的大小, 并以较小的求解速度为代价提高了处理大规模电路的能力.     

求复多项式全部重零点的Kuhn一球形组合迭代法

本文结合应用球形迭代法的几何估计技巧与Kuhn一算法的整体收敛特性,提出了求复多项式全部重零点的一种组合迭代法.大量数值实验说明,该组合算法较之于Kuhn一算法有更高的计算效率和更少的计算复杂性.     

有限型多阶段决策问题的并行算法

讨论了在ＭＩＭＤ并行系统上，基于嘉量原理的摹矩阵连摹乘积求多阶段有向图最优路的并行算法．给出了选择顺推方式或逆推方式计算连摹乘的一个计算过程，提出了一个分派到各台处理机的任务基本均衡的ｐ一分划算法，并详细讨论了并行计算的实现，给出了数值试验实例．