光纤Fabry-Perot干涉仪在传感应用中的数学模型

本文应用光学和数学理论导出光纤Fabry-Perot干涉仪在两反射面反射率不同时的反射光与透射光的数学模型、低反射率Fabry-Perot干涉腔长度的变化与干涉光光强的数学模型及传感中的应用;为这种光纤干涉仪的准确使用提供基础.     

基于分形动力学过程的腐蚀预测模型

腐蚀是一种复杂随机现象,可以用分形理论更好地描述。本文根据分形动力学过程,以一组基于不同表面条件下的腐蚀发生概率为参数,建立计算机模型来预测大气、土壤环境的金属腐蚀过程。计算结果和实际腐蚀特征吻合一致。此外,本文还讨论了幂函数腐蚀模型中指数n和各种腐蚀概率之间的定量关系,揭示了腐蚀发展规律。     

金刚石薄膜/立方氮化硼异质结的制备

文内报告了金刚石薄膜/立方氮化硼异质结的制备过程,然后采用自制的 测试装置对其伏-安特性进行了测试。     

Adsorption Characteristics of Organic Dyes In Aqueous Solutions On Mixed-Oxide Gels. Silica-Containing Mixed-Oxide Gels

Abstract

Adsorption characteristics of four types of organic dyes in aqueous solutions on seven silica-containing mixed-oxide gels were investigated. C.I. Basic Red 18 was adsorbed well on all the gels. Silica-magnesia, which was prepared by the homogeneous precipitation, showed higher adsorptive ability for all the dyes than the other adsorbents.

It was proved from the examinations that the initial pH of dye solution, the composition of gel, and the precipitation method of gels affected the adsorptive ability.     

模糊随机变量及其数字特征的结构元方法

通过模糊结构元方法研究了3类模糊随机变量,给出模糊随机变量、模糊随机密度函数、模糊分布函数的结构元表示,有效的解决了模糊随机变量的模糊数学期望、模糊方差的运算问题.     

特征光谱法研究贵州两类不同香型风格烟叶

利用三维荧光和紫外-可见吸收光谱对贵州典型植烟区烤烟石油醚提取液进行光谱测定,获得烟叶化学物质总体特征光谱信息。光谱总体相似,但强度存在差异。三维荧光光谱中观察到三个特征峰,分别为峰Ⅰ:Ex/Em=297/326nm,峰Ⅱ:Ex/Em=250/330nm,峰Ⅲ:Ex/Em=225/336nm。峰强度表现为峰Ⅰ峰Ⅲ峰Ⅱ;紫外-可见吸收光谱在300~500nm波段呈现4个特征吸收峰,最大吸收波长λmax分别为329,419,445和472nm。根据三维荧光及紫外-可见吸收光谱特征峰的相对强度得到表征不同香型风格烟叶的总体化学物质相对含量的差异。利用三维荧光强度分数(D)及强度比值(R)的光谱数据进行聚类分析,在一定的距离系数范围内,能清晰划分贵州典型区域的"清甜香"和"醇甜香"两类特征香型烤烟。用荧光强度比值聚类较强度分数聚类更能在较小的距离系数内实现分类;三维荧光法较紫外-可见光谱法聚类的特征性更好。     

不同结构光子晶体的带隙特性

基于平面波展开法研究光子晶体的带隙特性,数值模拟了横磁波和横电波在三角晶格和正方晶格构成的二维光子晶体中的带隙特性,得到了三角晶格较正方晶格更容易出现带隙,且三角晶格的横电波光子带隙较大.实验结果为光子晶体器件的设计提供理论依据.     

On singularities of value function for Bolza optimal control problem

We study the set of points of nondifferentiability, called the singular set, of the value function of a Bolza optimal control problem. The value function is a viscosity solution to an associated Hamilton-Jacobi equation. The method of characteristics associates to this equation a Hamiltonian system, that in turn can be used to study the propagation of singularities of the value function. In particular, we obtain an extension of the Rankine-Hugoniot type condition, which is well-known in the conservation law theory.     

鸡胆汁的红外吸收光谱特性

鸡胆汁提取物具有良好的抗炎和抗肿瘤活性。将鸡胆汁与其它动物胆汁阴干，分别做红外吸收光谱；再将各种不同来源的鸡胆汁阴干，分别比较其红外吸收光谱。研究结果表明：鸡胆汁与其它动物胆汁的红外吸收光谱有着明显的不同，具有特征性；而各种不同来源的鸡胆汁的红外吸收光谱却有着很好的一致性。揭示鸡胆汁与其它动物胆汁相比化学组成各不相同；而各类鸡胆汁具有基本相同的化学组成。     

Thermal Effect for the Mesoscopic LC Circuits Including Complicated Coupling by Virtue of GHFT

The Hamilton operator for the mesoscopic LC circuits including complicated coupling is given. Because the practical circuits are inevitably influenced by the external environment, the effect of temperature on the quantum effects for the mesoscopic circuit must be taken into account. Then we discuss the thermal effect of the system by simulating it with the biphotonic process and the contribution of each process to the energy ensemble average by virtue of the generalized Hellmann-Feynman Theorem (GHFT). Project supported by NSFC (No. 10574060), the Natural Science Foundation of Shandong Province (No. Y2008A23) and the Science Foundation of Liaocheng University (No. X071045).