一种减少基于SOA的全光时钟提取码型效应的新方法

全光位时钟提取是3R全光再生的关键技术,本文针对利用基于半导体光放大器注入锁模激光器进行位时钟提取时的码型效应,提出一种利用非线性偏振旋转自稳幅效应减少码型效应的新方法,对40Gb/s的半导体光放大器注入锁模激光器位时钟提取,通过数值模拟计算证明,利用非线性偏振旋转可以有效地减少码型效应的影响.     

平面波导型对称星型耦合器的优化设计

通过有限差分波束传播法(FD-BPM)研究了N×N平面波导型星型耦合器的优化设计思想和方法,并通过17×17星型耦合器的模拟设计证明了它的可行性.给出了在输出端引入辅助波导的方法,以提高输出波导阵列的均匀性.并通过模拟计算,分析了圆心缩入程度和锥形区的形状对输出结果的影响.此法也同样适合于N值更大的星型耦合器.     

在伽利略坐标变换下的二端面弹性转轴相似动力学方程

在非相对论性原理下建立了二端面弹性转轴的相似动力学方程.使弹性转轴的动力学方程与地面坐标下的动力学方程相似,为相似工程学和计量、测控仪器的相似标定提供理论依据及方法 关键词： 二端面弹性转轴 相似模拟 坐标变换 相似动力学方程 标定     

Optimal Halbach permanent magnet designs for maximally pulling and pushing nanoparticles

Optimization methods are presented to design Halbach arrays to maximize the forces applied on magnetic nanoparticles at deep tissue locations. In magnetic drug targeting, where magnets are used to focus therapeutic nanoparticles to disease locations, the sharp fall off of magnetic fields and forces with distances from magnets has limited the depth of targeting. Creating stronger forces at a depth by optimally designed Halbach arrays would allow treatment of a wider class of patients, e.g. patients with deeper tumors. The presented optimization methods are based on semi-definite quadratic programming, yield provably globally optimal Halbach designs in 2 and 3-dimensions, for maximal pull or push magnetic forces (stronger pull forces can collect nanoparticles against blood forces in deeper vessels; push forces can be used to inject particles into precise locations, e.g. into the inner ear). These Halbach designs, here tested in simulations of Maxwell's equations, significantly outperform benchmark magnets of the same size and strength. For example, a 3-dimensional 36 element 2000 cm³ volume optimal Halbach design yields a 5× greater force at a 10 cm depth compared to a uniformly magnetized magnet of the same size and strength. The designed arrays should be feasible to construct, as they have a similar strength (≤1 T), size (≤2000 cm³), and number of elements (≤36) as previously demonstrated arrays, and retain good performance for reasonable manufacturing errors (element magnetization direction errors ≤5°), thus yielding practical designs to improve magnetic drug targeting treatment depths.     

半导体制冷箱的三维有限元优化与实验研究

基于ANSYS平台,建立了半导体制冷箱温度场数值分析的三维模型,对制冷箱的内胆形状、制冷片的布置方位、个数、排列方式以及保温层的厚度进行了仿真并优化,再通过具体实验验证。结果表明:当半导体制冷箱的容积为10升时,制冷片安置在制冷箱的顶面,制冷片的数量为3片且呈三角形方式排列,箱体内胆的长宽高分别为320mm、210mm、150mm,保温层的厚度为20mm时,是一种比较理想的结构,能实现半小时内将环境温度(30℃)降到0～5℃的要求。     

液体中激光等离子体冲击波波前传播特性研究及测试

将空气中球对称冲击波衰减波前传播公式推广到非完全中心对称情况，根据对光学阴影法对激光等离子体冲击波波前测试数据的计算分析，提出液体中点源激光等离子体冲击波旋转椭球面波前传播公式.并且用声学方法对水中和酒精中的激光等离子体冲击波波前进行实验测试，结果表明测试结果与计算公式相吻合. 关键词： 激光 等离子体冲击波 旋转椭球面     

Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs

Two existing function-space quasi-Newton algorithms, the Davidon algorithm and the projected gradient algorithm, are modified so that they may handle directly control-variable inequality constraints. A third quasi-Newton-type algorithm, developed by Broyden, is extended to optimal control problems. The Broyden algorithm is further modified so that it may handle directly control-variable inequality constraints. From a computational viewpoint, dyadic operator implementation of quasi-Newton methods is shown to be superior to the integral kernel representation. The quasi-Newton methods, along with the steepest descent method and two conjugate gradient algorithms, are simulated on three relatively simple (yet representative) bounded control problems, two of which possess singular subarcs. Overall, the Broyden algorithm was found to be superior. The most notable result of the simulations was the clear superiority of the Broyden and Davidon algorithms in producing a sharp singular control subarc.This research was supported by the National Science Foundation under Grant Nos. GK-30115 and ENG 74-21618 and by the National Aeronautics and Space Administration under Contract No. NAS 9-12872.     

Optimal purchase and advertising for a product with immediate sale start

Summary We consider the problem of maximizing the discounted net profit of a firm which purchases a quantity of some product at a given time and afterwards advertises and sells the product progressively. We distinguish among the three possibilities of assuming the final time to be either fixed, or bounded, or free. In all cases, after stating the problem in the optimal control theory framework, we prove the existence of an optimal solution and characterize it using the Maximum Principle necessary conditions. Furthermore, we prove that the convexity of the purchase cost function is a sufficient condition for the uniqueness of the optimal solution. Partially supported by MURST.     

Alternating direction algorithms for solving Hamilton-Jacobi-Bellman equations

We focus on numerically solving a typical type of Hamilton-Jacobi-Bellman (HJB) equations arising from a class of optimal controls with a standard multidimensional diffusion model. Solving such an equation results in the value function and an optimal feedback control law. The Bellman's curse of dimensionality seems to be the main obstacle to applicability of most numerical algorithms for solving HJB. We decompose HJB into a number of lower-dimensional problems, and discuss how the usual alternating direction method can be extended for solving HJB. We present some convergence results, as well as preliminary experimental outcomes.This research was funded in part by an RGC grant from the University of Alabama.     

分子转动惯量与正烷烃熔沸点的预测

在分子转动模型基础上,以半经验分子轨道（ＡＭ１）方法计算分子的转动惯量及其它结构参数,获得１５个正烷烃的沸点和熔点的多元线性回归方程。其中正烷烃的沸点与短轴转动惯量（ｃ）和碳原子数（ｎ）相关（ｂｐ＝－１４７．－０．０１１８９ｃ＋３６．１７ｎ,Ｒ＝０．９９８５,ＳＤ＝６．９７）,而熔点与分子的长轴转动惯量（ａ）、短轴转动惯量（ｂ,ｃ）及重定向能（Ｅ）相关（ｍｐ＝－２６０．３＋１５．７０ａ＋１９．７４