Tunable directional beaming assisted by asymmetrical SPP excitation in a subwavelength metallic double slit

We present a design for tunable directional beaming through a subwavelength metallic double slit surrounded by dielectric surface-relief gratings.On-axis and off-axis beaming can be switched by controlling the incident angle to asymmetrically excite surface plasmon polaritons(SPPs) that are subsequently coupled out to propagating beams by the two gratings on the left and the right sides of the double slit.Furthermore,the division of optical power into two off-axis beaming directions can be tuned smoothly by varying the incident angle while keeping the total power almost unchanged.The mechanism of this effect is analyzed theoretically and verified using rigorous numerical simulations.     

与单调性概念有关的几个疑惑

函数的单调性是函数的一个重要性质,也是高考的热点与重点考查对象之一,几乎每份高考试卷都有相关的试题,在平时的学习中,由于对单调性概念理解不深透,存在这样或那样的疑惑,考试时总是产生这样或者那样的错误,本文结合平     

2-型模糊环境下的能源系统优化

基于模糊可能性理论,建立2-型模糊环境下的能源分配优化模型,其中各种类型能源的成本用2-型模糊变量刻画.用均值简约方法简约2-型模糊成本,建立广义期望值意义下的模糊能源分配优化模型.当成本用相互独立的三角2-型模糊变量刻画时,所建立的模糊能源分配优化模型可以转化为等价的参数线性规划.最后提供一个数值例子表明建模思想.     

构造辅助圆证明代数不等式

有些代数问题,若能充分根据题设条件及其数量特征,巧妙地构造辅助圆,则可利用圆的知识,使所给问题在辅助圆下实现转化,从而使问题获得解决.本文以具体例子谈谈构造辅助圆证明代数不等式问题.     

围长至少为4的平面图的邻点可区别边色数

图G的邻点可区别边染色是G的正常边染色,使得每一对相邻顶点有不同的颜色集合．G的邻点可区别边色数X＇a（G）是使得G有一个k-邻点可区别边染色的最小正整数七．本文证明了：若G是围长至少为4且最大度至少为6的平面图,则X＇a（G）≤△＋2．     

Approximation of integrable functions by general linear operators of their fourier series

The pointwise estimates of the deviation T n,A,B f (·) f (·) in terms of moduli of continuity .f and w.f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in [Mittal, M. L.: J. Math. Anal. Appl., 220, 434-450 (1998) Theorem 1, p. 437].     

加速方法数学建模的若干研究

介绍了利用可积系统理论研究加速计算方法的数学建模的一些最新工作。首先给出了向量形式的E-变换的一种推广,并构造了计算这个序列变换的数学模型。此外,给出了Pfaff式的一种具体定义,这样定义的Pfaff式可以应用于序列变换的表示。     

Calculations of the vibrational frequency and isotopic shift of UF6 and U2F6

Molecular structure, vibrational frequency and infrared intensity of UF6 are investigated by using the revised Perdew Burke-Enzerhof function with the triple-zeta polarized basis set. The calculation results are in good agreement with the experimental values and indicate the existence of a stable U2F6 molecule with a multiple bonded U2 unit. The calculation results also predict that the D3d symmetry of U2F6 is more stable than D3h. The optimized geometries, vibrational frequencies, and infrared intensities are also reported for U2F6 molecules in D3d symmetry. In addition, the isotopic shift of vibrational frequencies of the two molecules under isotopic substitution of uranium atom are also investigated with the same method. The U2F6 molecule is predicted to be better than UF6 for laser uranic isotope separation.     

两指标B值强鞅空间的强原子分解

定义了两指标B值强鞅空间和强原子,利用Banach空间的光滑性建立了两指标B值强鞅空间s~∑α^p的强原子分解定理,应用强原子分解定理证明了一些两指标B值强鞅不等式.     

巨灾互换对巨灾风险可保性边界的影响——以超强台风“天鸽”为例

巨灾衍生品对提升保险公司巨灾风险承保能力意义深远。本文探讨了巨灾互换这一新型巨灾衍生产品对巨灾风险可保性边界的影响。构建了利差连续给付型巨灾互换的定价模型,推导了保险公司参与巨灾互换情形下的破产概率模型和可保性边界函数。并以超强台风“天鸽”对我国造成的损失数据为样本,给出了巨灾互换价差的计算实例,讨论了巨灾互换对可保性边界的影响。进一步,分析了损失赔付比例与初始资本、安全负荷系数和破产概率的关系。结果表明,保险公司参与巨灾互换能够有效拓展巨灾风险的可保性边界。研究结论可为巨灾互换在中国的研发与应用提供数据支持和决策依据。