THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS

The artificial boundary method is applied to solve three-dimensional exterior problems. Two kind of rotating ellipsoids are chosen as the artificial boundaries and the exact artificial boundary conditions are derived explicitly in terms of an infinite series. Then the well-posedness of the coupled variational problem is obtained. It is found that error estimates derived depend on the mesh size, truncation term and the location of the artificial boundary. Three numerical examples are presented to demonstrate the effectiveness and accuracy of the proposed method.     

基于离散近似迭代法的多阶段M-V投资组合优化

提出了离散近似迭代方法,并用该方法求解具有交易成本和交易量限制的多阶段均值-方差(M-V)投资组合模型.离散近似迭代方法的基本思路为:首先,将连续型状态变量离散化,根据网络图的构造方法将上述模型转化多阶段赋权有向图;其次,运用嘉量原理求出起点至终点的最长路程,即获得模型的一个可行解;最后,以该可行解为基础,继续迭代直到前后两个可行解非常接近.还证明了该方法的收敛性和复杂性.     

微波辅助-旋转回流提取仪的组装及其在叶下珠有机酸提取中的应用

组装了一种新型的微波辅助旋转回流装置,该装置的基本原理与微波辅助溶剂萃取的原理相同,但采用了旋转的技术以加速提取.应用该装置以正交实验筛选优化叶下珠中有机酸的提取工艺,并利用毛细管电泳技术分离测定了提取液中有机酸的含量以评价提取效果.最佳提取工艺:乙醚为溶剂,微波功率800 W,提取时间4 min,溶剂用量300 mL.在该提取条件下,平行5次提取叶下珠中丁二酸、原儿茶酸、没食子酸、咖啡酸、阿魏酸的平均含量分别为42.2、103.5、436.2、123.8、67.4 μg/g,相对标准偏差为0.87% ～3.7%,加标回收率为94% ～104%.将该法与常规的微波辅助提取法及回流提取法进行比较,结果表明,微波辅助旋转回流提取法提取效率明显优于其它2种方法.     

双旋转不变Radon变换的一个等价刻画

给出双旋转不变Radon变换的一个等价刻画.证明了双旋转不变Radon变换的双旋转不变性可以被■×■×[0,1]×■上的函数所刻画.     

Bell＇s Inequality for a System Composed of Particles with Different Spins

For two particles with different spins, we derive the Bell＇s inequality. The inequality is investigated for two systems combining spin-1 and spin-1/; spin-1/2 and spin-3/2. We show that for these states Bell＇s inequality is violated.     

管内插新型自旋转子的流阻及抑垢特性

提出了一种新型自旋转子,并通过数值及实验方法研究了其流动阻力及抑垢特性.实验结果表明,在流速为0.76 m/s时转子转速仍可达100r/min,内插该转子的流动阻力比光管增加2倍左右,正反旋向转子组(每组4个转子)相问布置可防止沿流向转子转速递减,使转子转速基本恒定.数值分析表明,通过减小转子的旋转轴套外径并加前端导流...     

三层介质长圆柱界面上极化电荷和磁化电流的分立镜像

计算表明，三层介质无工圆柱界面上的极化电荷和磁化电流可用多个分立镜像代替，从而使电场和磁场的计算更简单和直观。     

旋转液体中固体颗粒运动的进一步讨论

通过分析旋转液体中的压强分布,说明了浸在液体中的固体颗粒向轴心运动的原因,以及该规律的实际应用.     

波尔共振实验中基于旋转矢量的相位差分析

在波尔共振实验中,通过引入两个旋转矢量分别描述受迫振动和强迫力,解决了实验中频闪法测相位差原理阐述不清的问题.针对有机玻璃转盘上白线与刻度盘零刻线分别成锐角和钝角的情况,由旋转矢量法分别给出了受迫振动与强迫力的相位差.研究发现,无论白线指向刻度盘的哪个区域,受迫振动与强迫力的相位差始终为-π/2与有机玻璃转盘的白线所指向角度之差.     

Geometry optimization in planetary rotation stage for thickness uniformity of films on spherical substrates

We report the simulation results on the thickness uniformity of optical coatings deposited on spherical substrates by optimizing the geometric configuration parameters, such as tilting angle of the substrate holder and position of the evaporation source in a 1 000-mm-diameter planetary rotation stage （PRS）. We reveal that good film uniformity on convex spherical surfaces or flat substrates, as well as concave surfaces with weak to moderate curvatures can be obtained through appropriate tilting of the substrate holder. For 300-mm-diameter substrates with clear aperture to radius of curvature （CA/RoC） between 0.3 and 0.7, the achievable film uniformity is above 99%. The source position is optimized to achieve good film uniformity.