斜压二层模式框架下的准地转理论及其应用

准地转理论是短期天气预报的理论基础.针对中纬度大尺度运动得到的准地转运动方程组是准地转理论的核心.在斜压二层模式框架下,由准地转运动方程组得出的准地转位势倾向方程和准地转垂直运动方程,可以更为明确地解释高空和地面天气系统的移动和发展.结果显示:500 hPa高空槽的移动取决于本层的涡度平流,500 hPa高空槽的发展取决于本层的涡度平流和250与750h Pa层的微差温度平流;地面气旋系统的移动和发展取决于500hPa的正温度平流,250与750 hPa层的微差涡度平流.由实际天气过程对上述应用进行的分析表明,在斜压二层模式框架下得到的准地转位势倾向方程及准地转垂直运动方程,可以更好地确定中纬度天气尺度斜压发展系统的特征,并有助于对天气系统发展客观规律的了解和对数值预报产品内含的物理依据的认识.     

一种近似矢量衍射模型在衍射微光学元件分析中的应用

标量衍射理论形式简洁，有很高实用性，但是在衍射微光学元件分析中显得模型粗糙，准确度下降。严格矢量衍射理论由于计算复杂，非常耗费时间和资源，因此也不是一种很有效的设计工具。 我们在本文中运用了一种简单的近似矢量衍射模型分析了几种典型衍射微光学元件衍射性能，此衍射模型采用了标量衍射理论和近似近场模型的结合。 TE和TM两种偏振模式均运用此近似矢量衍射模型进行了分析，我们发现此衍射模型可以得到比标量衍射理论更准确的结果，而与严格电磁场理论相比，它占用很少的计算时间。     

中子晕核的松散结构在重离子碰撞动量耗散中的作用

利用同位旋相关量子分子动力学模型, 对比和研究了中子晕核¹⁹B和相等质量稳定核¹⁹F在相同入射道条件下引起核反应动量耗散中的特征.由于中子晕核的松散中子晕结构和小的分离能,与相等质量稳定核相比,在低能区具有减弱动量耗散的特征.但随入射能量的升高,这种晕核结构对动量耗散的作用减弱.而且对所有质量靶核,所有碰撞参数和中子晕核结构都具有减弱动量耗散的作用.     

选择性1NEPT技术及其在FX—90Q仪器上的应用

本文介绍一种~1H—~(13)C远程极化转移的脉冲序列.在JEOL FX—90QNMR波谱仪上实现了这种技术.对一些典型化合物的测定表明,选择性非灵敏核的远程极化转移增强法(SEL1NEPT)在测定季碳原子和进行谱带归属中,是一个有力的工具.     

双模坐标-动量积分型投影算符及其在量子光学中的应用

引进了幺正的双模坐标-动量积分型投影算符,利用有序算符内的积分（IWOP）技术分析了其变换特性,并导出了其正规乘积展开式.然后利用该积分型投影算符对角化了双模耦合量子谐振子体系的哈密顿量,从而求出了体系的本征能级与本征波函数.最后讨论了特例情形.关键词：积分型投影算符有序算符内的积分技术坐标-动量耦合     

中低能区程函近似的复径迹修正及其对核半径的分析

分别比较了包含库仑力、库仑力+核力实部及库仑力+核力(实部及虚部)三种情况下的程函近似的径迹修正方法。通过入射能为12.5~50 MeV/u 时¹⁶O在¹²C、⁶³Cu和²⁰⁸Pb靶上的弹性散射角分布计算表明了包含核力虚部的复径迹修正方法的重要性。这样的修正方法对于轻靶、中等质量靶上的计算尤为重要。利用复径迹修正下的程函近似重新分析了入射能约为25~65 MeV/u时轻-重核^{6−9, 11}Li、⁹⁻¹²Be、¹⁰⁻¹⁵B、^{11, 12, 14−18}C、^{14, 16−19}N、及^{15, 17, 19−21}O在^natCu靶上的总反应截面数据并得到了相应弹核核物质密度分布的方均根半径。Liatard等利用Glauber 模型分析该数据得到的方均根半径结果与Ozawa等利用Glauber 模型分析入射能约为650~1 020 MeV/u时高能总相互作用截面数据得到的半径结果间整体性偏差为7.7%,而本文半径分析结果与高能结果间的整体性偏差为1.9%。     

从流场分解角度改进Q矢量分析方法及其在暴雨动力识别中的应用

依据水平风场分解思路,运用调和.余弦算法,准确分解有限区域Q矢量.根据已有的关于Q矢量散度和新发展的Q矢量涡度与天气系统对应关系的研究,运用分解得到的Q矢量旋转分量场和辐散分量场,改进传统Q矢量分析方法中单纯依靠Q矢量水平散度场进行的诊断分析.通过对一次暴雨个例的比较研究表明,在雨带形势和暴雨中心位置的动力识别方面,改进的Q矢量分析方法比传统的单纯依靠Q矢量散度分析方法具有更好的效果.     

Monte-Carlo拟合算法及其在电子动量谱学实验数据处理中应用的研究

介绍了一种新的Monte-Carlo曲线拟合算法,由于新算法具有比其他迭代算法拟合更加稳定的优势,解决了电子动量谱学实验数据处理中遇到的电离能谱能峰叠加引起的拟合效果不佳的问题.利用VB语言编写的基于以上方法的拟合程序处理CF2Br2分子的动量谱学实验数据,与基于Levenberg-Marquardt算法的PeakFit软件处理的结果进行比较,结果明显优于后者,并由此明确的重新指认了之前动量谱学方法无法指认的CF2Br2分子的价壳层最外四个轨道4b2,2a2,4b1和6a1的排序,肯定了Hartree-Fock和外价壳层格林函数方法(OVGF)的理论计算结果,而修正了光电子谱学实验的指认.     

推广的Glauber理论及其在晕核散射中的应用

介绍了推广到晕核散射的Glauber理论,并用其研究晕核¹⁴Be的散射问题.弹核的密度分布分别采用谐振子密度分布和相对论平均场理论计算得到具有两个晕中子结构的密度分布,对晕核模型的多重积分采用蒙特卡洛数值积分方法.计算了不同能量下¹⁴Be,¹²Be与靶核¹²C散射的反应截面,并与实验结果进行比较,¹⁴Be的两个中子采用具有晕中子密度分布的理论计算与实验符合较好,而采用不具有晕中子密度分布的结果与实验值相差较大.     

电位移矢量仅与自由电荷有关的充要条件及其应用

利用矢量场的唯一性定理直接给出了电位移矢量仅与自由电荷有关的充要条件；阐明了一个很有用的结论。     

Influences of initial velocity, diameter and Reynolds number on a circular turbulent air/air jet

This paper assesses the suitability of the inflow Reynolds number defined by Re_o ≡ U_oD/ν (here U_o and D are respectively the initial jet velocity and diameter while ν is kinematic viscosity) for a round air/air jet. Specifically an experimental investigation is performed for the influences of U_o, D and Re_o on the mean-velocity decay and spread coefficients (K_u, K_r) in the far field of a circular air jet into air from a smoothly contracting nozzle. Present measurements agree well with those previously obtained under similar inflow conditions. The relations K_u ∝ U_o and K_r ∝ 1/U_o for U_o < 5 m/s appear to work, while each coefficient approaches asymptotically to a constant for U_o > 6 m/s, regardless of the magnitudes of Re_o and D. It is revealed that Re_o may not be an appropriate dimensionless parameter to characterize the entire flow of a free air/air jet. This paper is the first paper that has challenged the suitability of Re_o for turbulent free jets.     

Analytical investigation on mean and turbulent velocity fields of a plane jet

This paper analyses the downstream developments of the mean and the turbulent velocity fields of a plane jet. Based on the conservation of mass and the conservation of momentum, the mean-velocity half width (reflecting the jet spread rate) and the relative mass flow rate (jet entrainment) are related to the decay rate of the centreline mean velocity. These relations are not subject to self-preservation. Both analytical and experimental results suggest that the jet spread rate (K₁) and the entrainment rate (K₃) (and thus the decay rate K₂) can be well estimated from the centreline velocity, i.e., K₁ ≈ 0.6K₂ and K₃ ∝ K_2. The effect of initial mean velocity and RMS velocity profiles on the downstream mean velocity field appears to be embodied in the constants K₁ K₂ and K₃. The analytical relationship for the self-preserving Reynolds shear stress, obtained for the first time, works well.     

Analytical investigation velocity fields on mean and turbulent of a plane jet

This paper analyses the downstream developments of the mean and the turbulent velocity fields of a plane jet. Based on the conservation of mass and the conservation of momentum, the mean-velocity half width （reflecting the jet spread rate） and the relative mass flow rate （jet entrainment） are related to the decay rate of the centreline mean velocity. These relations are not subject to self-preservation. Both analytical and experimental results suggest that the jet spread rate （K1） and the entrainment rate （K3） （and thus the decay rate K2） can be well estimated from the centreline velocity, i.e., K1 ≈ 0.6K2 and K3 ∝K2. The effect of initial mean velocity and RMS velocity profiles on the downstream mean velocity field appears to be embodied in the constants K1 K2 and K3. The analytical relationship for the self-preserving Reynolds shear stress, obtained for the first time, works well.     

欧拉-拉格朗日系统的jet辛算法

研究了在欧拉-拉格朗日系统上的jet辛算法.证明了第二作者在1998年给出的一个离散的欧拉-拉格朗日(DEL)方程存在一个离散形式的几何结构,它沿着解是不变的,这个结构可以通过对离散的作用量函数求导得到.由此,可以给出此格式的jet辛性质.利用这个结构证明了与此DEL方程相关的离散Nother定理.最后,给出了一个欧拉-拉格朗日方程上的jet辛差分格式的数值算例,并与其它的差分格式进行了比较.     

Massive Meson Fluctuation in NJL Model

Based on the self-consistent scheme beyond the mean-field approximation in the large N_c expansion, including current quark mass explicitly, a general scheme of SU(2) NJL model is developed. To ensure the quark self-energy expanded in the proper order of N_c,an approximate internal meson propagator is deduced, which is in order of O(l/N_c). In our scheme, adopting the method of external momentum expansion, all the Feynman diagrams are calculated in a unified way by only expanding the quark propagator. Our numerical results show that, different &om the mean-field approximation in which the explicitly chiral symmetry breaking is invisible, the effect of finite pion mass can be seen clearly when beyond the meanfield approximation.     

Electron impact single ionization of copper

Electron impact single ionization cross sections of copper have been calculated in the binary encounter approximation using accurate expression for σ _ΔE as given by Vriens and Hartree-Fock momentum distribution for the target electron. The BEA calculation based on the usual procedure does not show satisfactory agreement with experiment in this case but a striking modification is found to be successful in explaining the experimental observations. The discrepancy is linked with the ionization of the 3d ¹⁰ electrons and probably effective single ionization does not take place from 3d shell of copper leading to smaller values of experimental cross sections.     

Angular Momentum Operator and Fermion-Pair Creation for Non-Abelian Fields

We study the extended structure of non-Abelian dyons, the generalized electromagnetic field and the resulting residual angular momentum in the interior as well as exterior regions of the dyon, and it has been demonstrated that at the dyonic centre there exists no well-defined U(1) charge symmetry and the density of residual angular momentum becomes infinity. The mechanism of creation of a fermionic pair at the dyonic core involving the extremely high density of residual angular momentum has been developed, which leads to baryon-number nonconservation in the presence of non-Abelian dyons. The fermion-number–breaking amplitudes in the presence of a non-Abelian dyon have been analyzed and are not suppressed by exp(– const/e ²). Further, the relevant properties of left-handed fermions in a non-Abelian field has been summarized and the zeroth-order approximation is described. Within this approximation the density of the fermion-number–breaking condensate is found to be O(1), i.e. to be independent of the coupling constant and of the vacuum expectation value of the Higgs field.     

用于变象管测量的Nd:YAG激光器倍频系统

本文叙述了一种新型的Nd:YAG激光器倍频系统,它主要用于诊断皮秒扫描/分幅变象管的静态及动态特性,亦可用于非线性光学和其它超快现象。最后讨论了影响谐波器件转换效率的一些参数。通过计算机模拟确定了这些参数的最佳值,从而使谐波器件的转换效率得到进一步提高。     

大气边界层模式中随机参数的反演与不确定性分析

在大气边界层气象中湍流黏性系数是一个很重要的参数,通过直接观测往往无法得到其准确值,仅能通过间接观测获得大致范围.本文选用随机广义Ekman动力近似模式中的湍流黏性系数进行反演研究与不确定性分析.首先利用风速观测数据,并采用基于混沌多项式的集合Kalman滤波方法对系数进行反演,降低其不确定性,缩小可能取值的范围,该方法的核心思想是将集合Kalman滤波方法中求解模式不确定性传播的方法由蒙特卡罗法改为混沌多项式展开,从而避免大规模采样带来的计算资源耗费.然后进行数值实验,结果表明该方法能够有效且快速地求解出湍流黏性的后验概率分布,从而达到降低系数不确定性的目的.根据系数的先验分布计算出风速的先验分布,从而找到风速不确定性大的区域,且揭示了在不确定性大的区域内的观测数据进行系数反演可得到十分明显的效果,这对于观测点位置的选择提供了重要的指导.     

强激光场中H~-离子二维光电子动量谱的理论研究

选用两个模型势,利用强场近似方法研究了H-离子在线性极化强激光场中二维光电子动量谱中次外层后重散射环.研究结果表明:两个模型势中的极化势对二维光电子动量谱的影响很小;随着激光强度的增加,二维光电子动量谱中出现后重散射环的数目变多,沿着次外层后重散射环的光电子的角分布波动性变小,能够通过多项式拟合的方法从二维光电子动量谱中次外层后重散射环获得精确的电子与H原子的弹性散射截面,特别适用于激光强度较小的情况.