基于图模型方法的我国二氧化碳排放的EKC曲线检验及影响因素分析

较为精确地对中国大陆地区29个省份的二氧化碳排放量进行测算,通过图模型方法分析我国二氧化碳的EKC曲线及主要影响因素,且利用贝叶斯平均模型(BACE)方法检验其稳健性。实证研究表明,我国二氧化碳曲线呈倒"U"型,主要影响因素包括经济发展水平、产业结构、能源利用率和城市化等,并指出提升经济发展质量、优化产业结构和提高能源利用率等是实现我国节能减排的重要举措。     

Shaped Corrugated Horns for Cosmic Microwave Background Anisotropy Measurements

Novel corrugated horn have been modelled, manufactured and measured which give low-sidelobe patterns required by CMB Anisotropy experiments. These horns have a Back-to-Back structure with mode filtering at their centres. They are corrugated to give axial symmetric low-sidelobe patterns, profiled to reduce their length, and have a Gaussian flare at their entrance apertures to further suppress sidelobes to -40dB. Modelling and experimental results show excellent agreement to well below 50 dB.     

Rainbow Scattering by an Inhomogeneous Cylinder with an Off-Axis Gaussian Beam Incidence at Normal

The problem of an off-axis Gaussian beam incident perpendicular on an infinitely long multi-layered cylinder is investigated. The efficient and accurate recursive algorithm for computing the scattering field is discussed. The stability of the numerical scheme allows us to extend the feasible range of computations, both in size parameter and in number of layers for a given size. Particular attention is paid to rainbow scattering of homogeneous and inhomogeneous fibers.     

Spherical hybrids

A general solution is presented to the problem of finding hybrid functions which point from the center toward the vertices of a regular solid. Results are given for the examples of 6, 8, 12, and 24 vertices. By taking linear combinations with suitable alias functions, the hybrids have been given nodes passing through all vertices except their own. This allows them to be used for interpolation and quadrature. The various functions required are defined as solid harmonics and group theoretical methods of generating these are discussed fully. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 197–214, 1997     

在二维原子自洽场计算中的Gaussian函数展开方法

报告了在二维原子结构的自洽场计算中,单电子波函数向笛卡尔Gaussian函数展开的基本方法.推导了由s,p和d电子组成的闭壳层和开壳层电子组态的能量表达式,和二维的Hartree-Fock-Roothaan HFR方程,最后给出了二维原子自洽场计算的主要结果精度的讨论.     

时空非相干光孤子的传播和相干特性

研究了时空非相干椭圆形高斯光束在饱和对数型非线性介质中的自陷行为,得到了孤子的形成条件并分析了其相干特性,讨论了光束自陷的变化形式,发现光束的初态和材料非线性对其有决定性的影响, 并进一步获得了光束半径和光束相干半径的解析表达式,发现光束的相干特性不但会随传播距离产生周期性的变化,且随组份频率的增大而减弱.     

超短脉冲高斯光束在线性色散介质中的远场特性

基于瑞利-索末菲衍射积分公式,在未作近轴近似的条件下,推导出等束宽超短脉冲高斯光束通过线性色散介质的远场公式,并用于研究其远场特性,所得公式可用于大衍射角情况.结果表明,等束宽脉冲高斯光束的频谱上存在一临界角,小于临界角时,出现蓝移;大于临界角时,出现红移,红移量随着衍射角的增大而增大.而脉冲波形将经历时间移动,移动量随衍射角的增大而增大;远场高斯脉冲波形将不再保持不变.此外,群速度色散将引起啁啾,啁啾量随衍射角的增大而减小.     

非共振条件下高斯光束斜入射法布里-珀罗干涉仪的透射特性

基于多光束干涉原理,研究了当高斯光束的载波频率与法布里—珀罗(F P)干涉仪的谐振频率存在偏差(即非共振)时,高斯光束斜入射F P干涉仪的透射特性。结果表明,与共振情况相比,非共振条件下透射光束的峰值强度及其所对应的位置、以及光斑的大小随入射角的变化都发生了显著的改变。     

截尾Gauss概率密度函数的性质及待定参数的求解

截尾Gauss 分布是湍流燃烧中常用的一种瞬时标量概率密度函数形式,但其中的待定参数较难以计算. 本文对截尾Gauss 分布进行了理论分析,获得了截尾Gauss 分布的若干性质. 表明当标量脉动均方值(g) 较大时,待定参数μ和σ之间呈线性关系,这使得求解待定参数的方程组退化为包含单一变量的方程. 在一般的g 取值条件下,通过提取标量平均值(f) 的等值线并沿其进行插值,可快速地求解出不同f与g 值下的待定参数μ和σ,并建立了相应的表格.     

Steering Witness and Steering Criterion of Gaussian States

Quantum steering is an important quantum resource, which is intermediate between entanglement and Bell nonlocality. In this paper, we study steering witnesses for Gaussian states in continuous-variable systems. We give a definition of steering witnesses by covariance matrices of Gaussian states, and then obtain a steering criterion by steering witnesses to detect steerability of any (m+n)-mode Gaussian states. In addition, the conditions for two steering witnesses to be comparable and the optimality of steering witnesses are also discussed.