Data point selection for weighted least square fitting of cavity decay time constant

For the accurate extraction of cavity decay time, a selection of data points is supplemented to the weighted least square method. We derive the expected precision, accuracy and computation cost of this improved method, and examine these performances by simulation. By comparing this method with the nonlinear least square fitting(NLSF) method and the linear regression of the sum(LRS) method in derivations and simulations, we find that this method can achieve the same or even better precision, comparable accuracy, and lower computation cost. We test this method by experimental decay signals. The results are in agreement with the ones obtained from the nonlinear least square fitting method.     

利用泽尼克系数求取衍射光栅的分辨本领

光栅分辨本领检测设备的焦距通常达几米甚至十几米,采用直接测量法难度大、成本高,利用衍射波前间接求取光栅分辨本领是解决该问题的有效途径之一。在光栅光谱成像傅里叶变换理论基础上,建立了利用泽尼克多项式拟合系数求解衍射光栅分辨本领的归一化模型,揭示了光栅衍射波前与分辨本领的求取关系,提出了依据泽尼克多项式拟合系数求取衍射光栅分辨本领的新方法。根据该方法实测了一块衍射光栅的分辨本领,并与直接测量法进行对比测试。结果表明该方法误差小于4.42%,降低了分辨本领的测试难度,是衍射光栅分辨本领求取的有效手段,应用于ZYGO干涉仪等仪器中,通过简单的波前测试即可得到定量的衍射光栅分辨本领指标。     

X射线荧光光谱理论α系数法测定古青铜钱币中的铅铜锡

本将Ｌａｃｈａｎｃｅ－ｔｒａｉｌｌ（Ｌ－Ｔ）方程理论α系数法应用于古青铜钱币中的Ｐｂ,Ｃｕ,Ｓｎ分析,并与基本参数法和标样法的结果进行了比较。由于本法和模拟标样法都是从基本参数法演变来的,使用的标样是一样的,三种方法计算结果数据比较接近。本法计算速度快,效率高,但对标样的依赖性较大。     

泡泡布点方法及其并行性

针对无网格和有限元方法中的布点需求,借鉴分子动力学方法和泡泡网格化方法的思想和处理技术,提出一种单纯的布点方法--泡泡布点方法.将区域内的点看作有相互作用力的泡泡,通过动态模拟得到高质量的点集,模拟中不需要网格连接.算例显示,生成的均匀点集和非均匀点集都具有很好的结构和渐进性,并对复杂区域具有很好的适应性.同时由于相互作用力的局部性,该布点方法类似于短程作用的分子动力学模拟,拥有潜在的并行性.通过初步的并行算例,验证了其并行化的可行性.     

辐射温度的数据处理方法

 辐射温度是间接驱动惯性约束聚变实验中可以定量测量的重要物理量。引进了一种通过直接计算辐射通量来得到辐射温度的方法,该方法的主要优点是计算简单,避免了某些时刻不能计算辐射温度的情况。由该方法得到的辐射温度与传统方法计算结果符合较好,不确定度均为7%。通过与冲击波测量温度峰值的结果对比确认了数据处理方法的正确性。在此基础上建立了国内某大型激光装置上的新型15道软X光能谱仪的数据处理系统。     

A standard and direct method to obtain multiple soliton solutions of the nonlinear partial differential equation

In this paper, we improve some key steps in the homogeneous balance method (HBM), and propose a modified homogeneous balance method (MHBM) for constructing multiple soliton solutions of the nonlinear partial differential equation (PDE) in a unified way. The method is very direct and primary; furthermore, many steps of this method can be performed by computer. Some illustrative equations are investigated by this method and multiple soliton solutions are found.     

利用3—5MeV γ射线测量核裂变数的可行性研究

提出了利用3—5MeV能区γ射线测量核裂变数的方法, 并且用浓缩铀样品堆照实验验证了该方法的可行性. 结果表明: 该方法可以应用于测量核裂变数, 依据通用方法的结果作为参考标准, 该方法测量不确定度小于16%.     

一类延迟混沌系统沿主轴方向上Lyapunov指数的计算方法

提出了一种计算延迟混沌系统沿主轴方向上Lyapunov指数的方法：矩阵迭代法.给出了其计算方法的原理及推导过程;同时推导了一类泰勒展开法,介绍了已有的Wolf替代法计算延迟混沌系统的Lyapunov指数.分析了三种不同计算方法的优缺点,最后进行了数值模拟,验证方法的有效性. 关键词： Lyapunov指数 延迟混沌系统 矩阵迭代法 泰勒展开法     

A new method of determining the optimal embedding dimension based on nonlinear prediction

A new method is proposed to determine the optimal embedding dimension from a scalar time series in this paper. This method determines the optimal embedding dimension by optimizing the nonlinear autoregressive prediction model parameterized by the embedding dimension and the nonlinear degree. Simulation results show the effectiveness of this method. And this method is applicable to a short time series, stable to noise, computationally efficient, and without any purposely introduced parameters.     

An adaptive VQ method used on interferential multi-spectral image lossless compression

In this paper, a high efficient adaptive LBG VQ (vector quantization) method is proposed, which is an improved version of the expansion LBG VQ method [1] (proposed in 2009)and exploits the shortest distance from a point to line segment. Moreover, the proposed method is used on the lossless compression of LASIS (Large Aperture Static Imaging Spectrometer) interferential multi-spectral images. Compared with the expansion LBG VQ method proposed in 2009, the experimental results showed that the adaptive LBG VQ method improved the compression performance obviously. And the experiment also showed that when using these LBG VQ methods above without Dual-Direction Prediction [2], the entropy generated by expansion LBG VQ method [1] sometimes will be larger than that generated by traditional LBG VQ method [3], and when using these LBG VQ methods above after Dual-Direction Prediction [2], CR (compression ratio) generated by expansion LBG VQ method [1] sometimes will be less than that generated by traditional LBG VQ method [3], while the entropy generated by the method proposed in this paper will be much less than that generated by either traditional LBG VQ method [3] or the expansion LBG VQ method [1], and CR generated by the method proposed in this paper will be much larger than that generated by either traditional LBG VQ method [3] or the expansion LBG VQ method [1].     

超导螺线管的冷铁轭优化

介绍了超导螺线管的冷铁轭优化设计方法, 即采用均匀设计结合有限元软件Opera作为试验手段进行研究。 对该方法进行了举例说明, 并得到物理量与参数之间的关系式, 并验证了关系式的精度, 以此证明此优化方法的可行性。 A method of studying the effect about cold yoke on the superconducting solenoid is introduced in this paper. In this method the uniform design table was used to arrange experiments. And then these experiments were executed by OPERA software package. Finally, the results were analyzed by the Stepwise Regression Analysis. An example according to the method is described and the reliability of this method is also proved.     

非线性偏微分方程的多孤子解

对齐次平衡法的一些关键步骤进行拓宽,获得了一系列非线性方程的多孤子解,使得对非线性方程的多孤子解的求解方法更加直接,且许多步骤可以利用计算机完成. 关键词： 齐次平衡法 非线性方程 多孤子解     

Approximate formulation of the orthogonalized plane-wave method

An approximate method is derived for calculating the energy band of solids, analogous to the orthogonalized plane-wave method. In this method the exact condition for the orthogonality of the wave functions of valency electrons to the wave functions of the electrons of ions is replaced by a repulsive potential, determined statistically. It is shown by the example of the energy spectrum of diamond that despite the relative simplicity of this method, its results are comparable to those given by other methods. Correlation is also carried out between this method and the Phillips energy-band interpolation scheme.     

应用小型X射线荧光光谱仪快速测定钾长石的化学成份

本文采用粉末压片法制样,用小型多道波长色散Ｘ射线荧光光谱仪测定钾长石中的ＳｉＯ２Ａｌ２Ｏ３、ＣａＯ、ＭｇＯ、Ｆｅ２Ｏ３、Ｋ２Ｏ、Ｎａ２Ｏ。测定准确度、精密度较好,所得结果满足化学分析误差要求,能完全替代化学分析,将一个钾长石作全分析整个过程只需３０ｍｉｎ,本法快速、简便、结果令人满意。     

单边带付里叶变换频谱的相位修正

本文在简要阐述弗门(Forman)卷积处理和墨芝(Mertz)乘法处理两种相位修正方法之后,着重介绍单边带付里叶变换频谱的相位修正的一种新方法;给出了详细的理论推导;列出了它对理论上模拟的干涉图函数和实际干涉图的应用结果,并将此结果与弗门的卷积处理后的变换结果以及双边带变换结果进行了比较,效果良好,而且计算速度快于弗门的卷积方法;说明了这种新方法不仅理论上是成功的,而且在实际中也是可行的。     

Phase retrieval using the transport of intensity equation solved by the FMG–CG method

The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient (FMG–CG) method is proposed to numerically solve the TIE for phase retrieval. The full multigrid method is a scalable algorithm, and can be parallelized readily and efficiently. By using this method as a preconditioner of the preconditioned conjugate gradient (PCG) method, fast convergence is obtained. The simulation experiments show that complicated phase distributions with fast convergence speed can be retrieved by this composite method.     

Adomian Decomposition Method Using Integrating Factor

This paper proposes a new Adomian decomposition method by using integrating factor. Nonlinear models are solved by this method to get more reliable and efficient numerical results. It can also solve ordinary differential equations where the traditional one fails. Besides, the complete error analysis for this method is presented.     

A Hybrid Technique Combining FDTD and Series Solution for Near-to-Far-Field Transformation

A new near-to-far-field transformation that combines the FDTD and the series solution is presented. In this method, near-field data is calculated by FDTD and far-field data is also expressed by series solution. The boundary condition is applied to a virtual surface, which encloses arbitrarily shaped scatterers. In order to verify this method, scattering patterns from this transformation are compared with scattering patterns from exact solution. Numerical results show that errors in the far-field data from this method is less than surface equivalence theorem. Thus, this method is valid for obtaining the far-field data.     

一种直接测量压电换能器串联谐振频率和并联谐振频率的新方法

本文提出了一种利用补偿原理直接测量压电换能器串联谐振频率fs和并联谐振频率fP的新方法一补偿法。在这种方法测量原理的基础上，进行了实际测量，并设计了一种实用的测量电路。采用此方法测量的测量结果与电桥法的结果相符得很好。     

一种陡脉冲高电压电阻分压器的补偿方法

在对实用分压器构型进行分析比较的基础上提出了一种补偿法。其特点是,采用高阻高压臂一级分压构型,利用低阻低压臂自身电感对分压器的对地分布电容进行抵偿。按这种方法设计的兆估级纳秒脉冲电阻分压器自身的方法响应上升时间约为1ns。