空间目标可见光散射特性建模方法研究

针对空间目标的可见光散射特性提出一种建模方法.在分析空间目标所处的背景辐射环境基础上建立了空间目标背景辐射物理模型.对目标表面进行面元划分后,基于辐射理论引入双向反射分布函数模型来描述目标表面面元的光散射特性,将目标各个表面所有面元散射分量叠加建立了目标可见光散射特性的数学模型.建立目标本体坐标系,通过坐标变换确定目标、背景辐射源与探测器的相对位置关系,利用矢量坐标法确定目标对观测系统的“可视表面”.根据给定的目标几何结构尺寸和物性参量仿真获得了目标在轨光学特性.计算结果验证了建模的有效性.     

Estimating Distributions of Parameters in Nonlinear State Space Models with Replica Exchange Particle Marginal Metropolis–Hastings Method

Extracting latent nonlinear dynamics from observed time-series data is important for understanding a dynamic system against the background of the observed data. A state space model is a probabilistic graphical model for time-series data, which describes the probabilistic dependence between latent variables at subsequent times and between latent variables and observations. Since, in many situations, the values of the parameters in the state space model are unknown, estimating the parameters from observations is an important task. The particle marginal Metropolis–Hastings (PMMH) method is a method for estimating the marginal posterior distribution of parameters obtained by marginalization over the distribution of latent variables in the state space model. Although, in principle, we can estimate the marginal posterior distribution of parameters by iterating this method infinitely, the estimated result depends on the initial values for a finite number of times in practice. In this paper, we propose a replica exchange particle marginal Metropolis–Hastings (REPMMH) method as a method to improve this problem by combining the PMMH method with the replica exchange method. By using the proposed method, we simultaneously realize a global search at a high temperature and a local fine search at a low temperature. We evaluate the proposed method using simulated data obtained from the Izhikevich neuron model and Lévy-driven stochastic volatility model, and we show that the proposed REPMMH method improves the problem of the initial value dependence in the PMMH method, and realizes efficient sampling of parameters in the state space models compared with existing methods.     

Structural Properties of the Disordered Spherical and Other Mean Field Spin Models

We extend the approach of Aizenman, Sims and Starr for the SK-type models to their spherical versions. Such an extension has already been performed for diluted spin glasses. The factorization property of the optimal structures found by Guerra for the SK model, which holds for diluted models as well, is verified also in the case of spherical systems, with the due modifications. Hence we show that there are some common structural features in various mean field spin models. These similarities seem to be quite paradigmatic, and we summarize the various techniques typically used to prove the structural analogies and to tackle the computation of the free energy per spin in the thermodynamic limit.     

Assessment of Timoshenko Beam Models for Vibrational Behavior of Single-Walled Carbon Nanotubes Using Molecular Dynamics

In this paper, we study the flexural vibration behavior of single-walled carbon nanotubes (SWCNTs) for the assessment of Timoshenko beam models. Extensive molecular dynamics (MD) simulations based on second-generation reactive empirical bond-order (REBO) potential and Timoshenko beam modeling are performed to determine the vibration frequencies for SWCNTs with various length-to-diameter ratios, boundary conditions, chiral angles and initial strain. The effectiveness of the local and nonlocal Timoshenko beam models in the vibration analysis is assessed using the vibration frequencies of MD simulations as the benchmark. It is shown herein that the Timoshenko beam models with properly chosen parameters are applicable for the vibration analysis of SWCNTs. The simulation results show that the fundamental frequencies are independent of the chiral angles, but the chirality has an appreciable effect on higher vibration frequencies. The SWCNTs is very sensitive to the initial strain even if the strain is extremely small.     

Hadron Mass and the Properties of Nuclear Matter in the Quark Bag Models

The MIT bag model, chiral bag model and cloudy bag model are revisited. A typical work on the hadron mass calculation by chiral bag model and cloudy bag model is shown in more details with the quark-quark-pi vertex correction and quark self-energy being emphasized. More details are given to review the quark-meson coupling model and its application in nuclear matter. We put forth the Lagrangian of the quark-meson coupling model and studied the possibility of using the model to calculate the hadron mass.     

空间光学成像系统波像差的位相差异估计方法

针对传统光学设计和校正手段无法有效消除空间光学成像系统在轨工作时受各种因素影响使像质变差的问题,提出把均匀设计的思想引入位相差异波前传感技术,对系统在轨工作时的波前畸变进行估计.从而实现了对系统波像差的全局优化估计,放宽了波像差的估计范围,易于实现并行化.通过仿真实验发现,该方法正确估计率高,抗噪声能力强,是进行空间光学成像系统波像差估计的有效方法.     

空间光学成像系统波像差的位相差异估计方法

针对传统光学设计和校正手段无法有效消除空间光学成像系统在轨工作时受各种因素影响使像质变差的问题,提出把均匀设计的思想引入位相差异波前传感技术,对系统在轨工作时的波前畸变进行估计.从而实现了对系统波像差的全局优化估计,放宽了波像差的估计范围,易于实现并行化.通过仿真实验发现,该方法正确估计率高,抗噪声能力强,是进行空间光学成像系统波像差估计的有效方法.     

New Estimators of the Bayes Factor for Models with High-Dimensional Parameter and/or Latent Variable Spaces

Formal Bayesian comparison of two competing models, based on the posterior odds ratio, amounts to estimation of the Bayes factor, which is equal to the ratio of respective two marginal data density values. In models with a large number of parameters and/or latent variables, they are expressed by high-dimensional integrals, which are often computationally infeasible. Therefore, other methods of evaluation of the Bayes factor are needed. In this paper, a new method of estimation of the Bayes factor is proposed. Simulation examples confirm good performance of the proposed estimators. Finally, these new estimators are used to formally compare different hybrid Multivariate Stochastic Volatility–Multivariate Generalized Autoregressive Conditional Heteroskedasticity (MSV-MGARCH) models which have a large number of latent variables. The empirical results show, among other things, that the validity of reduction of the hybrid MSV-MGARCH model to the MGARCH specification depends on the analyzed data set as well as on prior assumptions about model parameters.     

New Discrete Model Boltzmann Equations for Arbitrary Partitions of the Velocity Space

Modified discrete Boltzmann equations for arbitrary partitions of the velocity space are established. The new equations can be derived from the continuous Boltzmann equation and are a generalization of previous discrete-velocity models. They preserve mass, momentum, and energy, and an H-theorem holds. The new model equations are tested by comparing their solutions with the analytical ones of the continuous Boltzmann equation for the Krook–Wu and the very hard particle models.     

变分方法研究ZnO量子点中激子的基态特性

ZnO是一种新型宽禁带直接带隙Ⅱ-Ⅵ族半导体材料,室温激子束缚能高达60meV,远大于室温热离化能(26meV),因此ZnO是适于室温或更高温度下使用的高效紫外光电材料。ZnO半导体量子点材料与体材料相比具有崭新的光电特性,特别在紫外激光器件方面,与ZnO的激子特性密切相关,因此理论上对ZnO量子点中激子的基态特性进行研究就显得十分必要。采用有效质量近似(EMA)方法,提出新的比较简单的尝试波函数,对ZnO量子点中激子的基态特性进行了计算。计算结果与实验结果基本吻合,说明我们的计算结果比较真实、有效。对变分参数K_e、K_h,归一化常数N_e、N_h以及波函数ψ随粒径变化关系进行了计算。计算结果表明,当量子点半径较小(r≤4.0a_B)时,激子的波函数ψ变化非常迅速,而由于此时量子点具有很大的比表面积,因此量子点所处的环境、体内的缺陷、杂质会对其产生非常强烈的影响,同时其表面(界面)的介质会对其基态特性产生影响,因此对量子点进行有效的修饰与掺杂以减少其表面缺陷及表面悬键,减少无辐射复合与界面发射是非常必要的。     

轮台白杏叶片铁锰浓度光谱估算模型

建立基于光谱分析的轮台白杏叶片铁(Fe)、锰(Mn)元素浓度估算模型,为快速建立轮台白杏树体微量营养元素诊断体系提供技术途经。采用Unispec-SC光谱仪测定土壤肥力存在显著差异条件下轮台白杏果实不同生育时期叶片的光谱反射率,通过分析叶片中Fe和Mn元素浓度与Rλ和f′(Rλ)的相关性,筛选出光谱指示波段,并采用线性回归模型建立光谱估算模型以估算叶片Fe和Mn营养元素浓度。结果表明:轮台白杏果实不同生育时期叶片Fe元素的光谱敏感波段各不相同,果实坐果期和硬核期敏感波段分别为873和874nm,375和437nm。果实成熟期敏感波段为836和837nm而果实收后期敏感波段为325和1 054nm;轮台白杏果实四个生育时期Mn元素的光谱敏感波段分别为913和1 129nm,425和970nm,390和466nm,423和424nm;轮台白杏叶片Fe和Mn元素浓度均与光谱反射率一阶微分f′(Rλ)相关性最强,与之建立的线性光谱估算模型拟合度最高,且达到了显著或极显著水平。表明果实不同生育时期,轮台白杏叶片Fe和Mn元素的光谱指示波段不同,可根据双波段f′(Rλ)采用线性模型估算白杏叶片Fe和Mn元素浓度。     

风力机翼型气动计算的降阶模型研究

将基于POD的降阶模型应用于风力机翼型的气动研究。首先应用CFD数值模拟得到一系列快照结果;应用基于本征正交分解(POD)的方法得到流场的一组基模态,认为对于所研究的问题,任一流场可以由这些基模态通过线性表达得到;对控制方程进行Galerkin投影,得到降阶模型,将离散求解N-S方程的问题转化为一组只有十几个自由度的常微分方程,从而减少计算时间,提高计算效率。并对二维翼型的绕流的定常和非定常问题进行了分析,计算结果表明,降阶模型可以较好地捕捉流动的特征,与直接CFD模拟相比计算精度相当,但大幅有效地提高了计算效率。     

A Finitely Additive State Criterion for the Completeness of Inner Product Spaces

We show that an inner product space S (real, complex or quaternion) is complete if, and only if, the system of all orthogonally closed subspaces in S, denoted by F(S), admits at least one finitely additive state which is not vanishing on the set of all finite dimensional subspaces of S. Although it gives only a partial solution to the problem formulated by Pták on the existence of a finitely additive state on F(S) for incomplete S, this gives an important insight into the structure of the set of states on F(S). This criterion has no analogue whatsoever in E(S), the system of splitting subspaces of S.     

Study of Fabry-Perot Cavities with Metal Mesh Mirrors Using Equivalent Circuit Models. Comparison with Experimental Results in the 60 GHz Band

The equivalent circuit modelling technique is used to study the resonant frequency and Q factor of plane parallel Fabry-Perot cavities with square aperture metal mesh mirrors. Comparison of different models found in literature with experimental data in the 60 GHz band is given for thin and thick cavities. Chen's model is shown to give a good agreement with measurements, as long as the cavity is not too selective and for large enough cavity.     

用时域有限差分方法研究非惯性坐标系下光子晶体传输特性

将时域有限差分（FDTD）方法用于非惯性坐标系下光子晶体理论研究,给出了非惯性坐标系下的差分方程和理想匹配层（PML）边界条件。设计了一个包含闭合环行腔和定向耦合器的光子晶体结构。定向耦合器的耦合长度为43a,这样的耦合长度既保证了闭合环行腔的高Q值,又保证了必要的频率分辨力。理论计算表明：光子晶体转动时,闭合环行腔里顺时针与逆时针方向传播的光有频差产生,此频差大小与光子晶体的转动角速度有关。     

Using the Ab Initio Molecular Dynamics Method for Simulating the Peculiarities in the Temperature Dependence of Liquid Bismuth Properties

The specific features pertinent to the temperature dependence of the electronic and atomic properties of liquid bismuth that have been observed in experiments are investigated according to the ab initio molecular dynamics method using the SIESTA open software package. The density of electronic states, the radial distribution function of atoms, and the self-diffusion coefficient are calculated for the temperature range from the melting point equal to 545 K to 1500 K. The calculated data are in good agreement with the experimental data. It is found that the position of the first peak in the radial distribution function of atoms and the self-diffusion coefficient are characterized by a nonmonotonic dependence under the conditions of superheating by approximately 150 K above the melting temperature. In the authors’ opinion, this dependence feature is attributed to a change in the liquid short-range order structure.     

土壤金属元素近红外光谱定量校正模型适应性初步研究

为研究土壤金属元素近红外光谱定量校正模型适应性,采用近红外光谱结合偏最小二乘算法,针对风干土壤中的K,As,Hg,Cu,Zn,Pb,Cr,Cd元素,在剔除异常值后,建立定量校正模型;并对风干、烘干处理的外部验证集样品分别预测上述元素含量。结果表明,风干外部验证集样品的预测值-参考值相关系数皆大于相应烘干外部验证集样品的预测值-参考值相关系数;风干外部验证集各元素的预测值-参考值均具有显著的相关关系,烘干外部验证集中K,Hg,Cr的预测值-参考值之间不具有显著的相关关系。对土壤金属元素近红外光谱定量校正模型的适应性进行了初步研究,可为土壤中金属元素快速定量监测方法以及农产品产地环境监测等提供一定的参考。     

应用近红外光谱法建立伤疖膏制备过程中黄芩苷含量模型

建立一种伤疖膏制备过程提取液中黄芩苷动态含量快速测定的近红外光谱分析方法,近红外透射光谱法扫描得到65组伤疖膏制备过程中提取液的近红外光谱图,以提取液中黄芩苷的HPLC测量值作为对照值,采用偏最小二乘回归算法(PLSR)建立NIR光谱与对照值的校正模型。校正模型主成分数为8,交叉验证均方根差(RMSECV)为0.006 8,相关系数(r)为0.999 1。应用校正模型对预测集的30组样品进行黄芩苷含量预测,所得预测均方根差(RMSEP)为0.009 2,r为0.998 7。结果表明,该方法快速、准确,为复方膏剂制备过程中化学成分快速定量和质量控制提供了方法和依据。