部分相干成像的光学传递函数

本文给出在准单色光照明下,部分相干和非相干成像光学传递函数新的计算方法。从基尔霍夫衍射积分出发,引进准波前像差,并在菲涅尔近似下给出点像振幅分布,对照明光源不作匹配限制,计算公式简明,准相干度（ 不同于传统的相干度） 容易计算。利用分片多项式插值计算准波前像差,从而可实现变形成像ＯＴＦ 的计算     

On the evaluation of Bernoulli numbers using binomial coefficients

A new algorithm is presented for calculating the Bernoulli numbers valid for all values of their argument. We introduce a simple, new analytical computer method for calculating the Bernoulli numbers on the basis of their integral expressions. The formula given in this study for the evaluation of Bernoulli numbers shows good rate of convergence and numerical stability with existing formulas.     

利用原始光强信号实现空间方位失调角高精度传递新方法

现有基于正弦波磁光调制偏振光的方位失调角传递方法存在精度不高的问题,提出了一种利用原始光强信号中极值点信息实现方位失调角高精度传递的新方法。建立了基于任意位置光强信号求解初始光强的模型,推导了大角度范围内粗略失调角的计算公式并给出了实现方案,提出了在小角度范围内比现有方法近似精度更高的获取失调角信息的方法。仿真结果以及误差分析表明：利用该方法得出的方位失调角传递误差远远小于现有方法,为实现空间方位失调角高精度传递提供了一种参考。     

Strength Function in Continuum with a Square Integrable Basis

We present a new approach to describe the three-body continuum with a square integrable basis and show some examples to assess its efficiency. The formulation is done elegantly in the hyperspherical formalism and the tail behavior is appropriately corrected with use of the Green??s function. The efficiency of this approach is shown in a simple solvable problem by calculating the electric dipole strength function of a three-body system and comparing it to that obtained with the complex scaling method, which is widely used for calculating the strength function.     

Coherent-mode representation of partially coherent imagery

A new method for calculating image intensity distribution in partially coherent illumination is described. The method is based on the coherent-mode representation of the cross-spectral density function of illumination field and allows considerable reduction of the computational effort needed for image intensity calculation in comparison with the direct method. The computational efficiency of the method is larger the more coherent is the illumination in a global sense. An example of calculating image intensity for Schell-model illumination is compared with theoretical results.     

分解-组合法推求等价组态j-j耦合谱项的J值

本文提出一种用以推求等价组态ｊ－ｊ耦合原子光谱项的Ｊ值的方法——分解－组合法。使用Ｃ语言编写了计算组合组态（ｊ）ｎｊ的ＭＪ值的程序,人工方法得到Ｊ值。结果与文献相符。     

Tip models and force definitions in molecular dynamics simulations of scanning force microscopy

The definition of the time varying force on a tip with internal degrees of freedom in atomistic molecular dynamics (MD) simulations of scanning force microscopy experiments is discussed. We show that the static expression for the tip force is inadequate for calculating force fluctuations within the MD simulations and suggest a different method of calculating the tip force. By studying the size of tip force fluctuations for different tip models and various tip positions with respect to the surface, we demonstrate that the new method works equally well in both static and dynamic cases.     

介质薄膜不同方向折射率的计算

本文应用介电椭球理论,推导出计算介质薄膜不同方向折射率的新公式.     

摄像机标定中栅格型标定点的亚像素提取的研究

介绍了一种新的摄像机标定用栅格型靶标标定点亚像素的提取方法。该方法先利用一个基于Hessian矩阵的形状算子判定栅格点的像素位置,然后对栅格点邻近区域内的图像灰度函数进行二阶泰勒展开,并通过计算该灰度曲面的局部极小值点来确定栅格中心点的亚像素位置。相对于传统的直线拟合求交点的方法,该算法计算过程简单,且具有较高的提取精度。     

非平衡磁控溅射系统磁场的半解析法

应用电磁场分析中的一种新方法——半解析法，对一种典型的非平衡磁控溅射系统进行了磁场分析. 结果表明，应用半解析法计算,求解变量少、方法简单，而且计算精度高，该方法相对于等效源法有严密的理论依据，标量位函数的表达式为级数解析式，有利于场强的计算，更有利于优化设计.     

非平衡磁控溅射系统磁场的半解析法

应用电磁场分析中的一种新方法——半解析法,对一种典型的非平衡磁控溅射系统进行了磁场分析. 结果表明,应用半解析法计算,求解变量少、方法简单,而且计算精度高,该方法相对于等效源法有严密的理论依据,标量位函数的表达式为级数解析式,有利于场强的计算,更有利于优化设计. 关键词： 非平衡磁控溅射 半解析法 标量磁位 磁场强度     

A representation of curved boundaries for the solution of the Navier–Stokes equations on a staggered three-dimensional Cartesian grid

A method is presented for representing curved boundaries for the solution of the Navier–Stokes equations on a non-uniform, staggered, three-dimensional Cartesian grid. The approach involves truncating the Cartesian cells at the boundary surface to create new cells which conform to the shape of the surface. We discuss in some detail the problems unique to the development of a cut cell method on a staggered grid. Methods for calculating the fluxes through the boundary cell faces, for representing pressure forces and for calculating the wall shear stress are derived and it is verified that the new scheme retains second-order accuracy in space. In addition, a novel “cell-linking” method is developed which overcomes problems associated with the creation of small cells while avoiding the complexities involved with other cell-merging approaches. Techniques are presented for generating the geometric information required for the scheme based on the representation of the boundaries as quadric surfaces. The new method is tested for flow through a channel placed oblique to the grid and flow past a cylinder at Re=40 and is shown to give significant improvement over a staircase boundary formulation. Finally, it is used to calculate unsteady flow past a hemispheric protuberance on a plate at a Reynolds number of 800. Good agreement is obtained with experimental results for this flow.     

近轴光场演化的计算——惠更斯变换

 对于远红外自由电子激光使用的大尺度（10m量级）准同心光腔，由于短脉冲效应严重影响功率演化，光束团的数值模拟必须同时考察时域-空域中的演化，因此计算量是巨大的。为了缩小计算量但又不失精确度，发展了一种称为“惠更斯变换”的公式，它以简单的类似基尔霍夫-费涅尔公式的积分运算精确地重现了波荡器之外的光束团演化。     

一个制冷工质的立方型状态方程

一个制冷工质的立方型状态方程吴之春,马一太,吕灿仁,高志明,王怀信（天津大学热能研究所天津３０００７２）关键词立方型状态方程,制冷工质１弓ｌ言立方型状态方程因其具有简单灵活、求解方便等优点,被广泛应用于实际工程计算。在制冷工程计算中较为常用的有ＲＫＳ...     

等效介质理论在光子晶体平面波展开分析方法中的应用

应用等效介质理论,提出了一种理论分析光子晶体的新平面波展开法,通过计算光子晶体的能带作收敛性分析,结果表明,新方法具有精度高、收敛快的优点,明显优于目前通用的二种平面波展开法;与已有的理论方法相比,新平面波展开法更适用于分析任意介电分布的高维光子晶体结构 关键词： 光子晶体 平面波展开法 禁带     

基于微观结构计算晶体宏观弹性应变场

基于晶体的微观结构提出了一种计算晶体宏观弹性应变场的方法,将该方法应用于金属晶体Fe,得到的应变场与连续介质理论预测结果吻合地很好,从而证明了该方法的准确性.以该方法为基础,进一步考虑无限小应变与有限应变的差值,发现应变差值在晶体剧烈变形区域内较强,对金属晶体Cu位错应变场的计算表明这种应变差异可以用来描述位错的运动状态和芯域结构.该方法可为评估晶体缺陷附近应变状态提供依据.     

A One-Dimensional Method for Calculating the Exit Wavefunction

We develop the multi-slice method for calculating wavefunction of a crystal consisting of atomic columns. The new method reduces numerical calculation from two dimensions to one dimension and is much faster than that of the traditional multi-slice method. The calculated result by the one-dimensional method is in agreement with that of the traditional one.     

基于微观结构计算晶体宏观弹性应变场

基于晶体的微观结构提出了一种计算晶体宏观弹性应变场的方法,将该方法应用于金属晶体Fe,得到的应变场与连续介质理论预测结果吻合地很好,从而证明了该方法的准确性.以该方法为基础,进一步考虑无限小应变与有限应变的差值,发现应变差值在晶体剧烈变形区域内较强,对金属晶体Cu位错应变场的计算表明这种应变差异可以用来描述位错的运动状态和芯域结构.该方法可为评估晶体缺陷附近应变状态提供依据.     

CALCULATION OF THE 3-DIMENSIONAL MAGNETIC FIELD BY USE OF THE MODIFIED SCALAR POTENTIAL

A new method for calculating the 3-dimensional magnetic field is described. The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.     

单谐振腔外部Q值的计算方法

 通过对带有耦合器的单驻波腔进行等效电路分析，推导出可计算带有耦合波导的单谐振腔外部Q值的反射相位法，该方法通过计算不同频率的反射相位来确定谐振频率和外部Q值。详细叙述了在CST Microwave Studio中用谐振模式求解法、直接时域跟踪法和反射相位法进行计算的步骤；用这3种方法分别计算了二次发射微波电子枪的外部Q值并和实验测量结果做了比较。结果显示3种计算方法都有很高的精度,但反射相位法的速度最快，耗时1 071 s。计算发现外部Q值与耦合口长度的4.1次方成反比。