Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid

This paper studies the random internal wave equations describing the density interface displacements and the velocity potentials of N-layer stratified fluid contained between two rigid walls at the top and bottom. The density interface displacements and the velocity potentials were solved to the second-order by an expansion approach used by Longuet-Higgins （1963） and Dean （1979） in the study of random surface waves and by Song （2004） in the study of second- order random wave solutions for internal waves in a two-layer fluid. The obtained results indicate that the first-order solutions are a linear superposition of many wave components with different amplitudes, wave numbers and frequencies, and that the amplitudes of first-order wave components with the same wave numbers and frequencies between the adjacent density interfaces are modulated by each other. They also show that the second-order solutions consist of two parts： the first one is the first-order solutions, and the second one is the solutions of the second-order asymptotic equations, which describe the second-order nonlinear modification and the second-order wave-wave interactions not only among the wave components on same density interfaces but also among the wave components between the adjacent density interfaces. Both the first-order and second-order solutions depend on the density and depth of each layer. It is also deduced that the results of the present work include those derived by Song （2004） for second-order random wave solutions for internal waves in a two-layer fluid as a particular case.     

中波红外3 μm～5 μm宽带通滤光片的研制

 中波红外宽带通滤光膜通常膜系层数多,膜层总厚度非常大（厚度达到10 μm左右）,膜层的镀制工艺难度较大。通过分析红外带通滤光片几种设计方法的特点,并结合实际镀制工艺技术,采用了长波通与短波通及非规整薄膜设计技术相结合的方法,设计了以锗材料为基底的中波3 μm～５ μm宽带通滤光膜。该设计大幅度降低了膜层的总厚度（约为8.65 μm）,缩短了膜层的镀制周期,提高了膜层的牢固度;在膜层的镀制工艺过程中,通过改变薄膜材料的蒸发速率、修正蒸发硫化锌材料时电子枪的扫描方式、调整蒸发材料在坩埚中的装载方法,使膜层获得了优异的光谱性能,其通带平均透过率大于96%,截止区域的平均透过率小于1%。     

The influence of some fuzzy implication operators on the accuracy of a fuzzy model-part II

The influence of fuzzy implication operators and the connective Also on the accuracy of a fuzzy model of a d.c. series motor is considered. Some typical fuzzy implication operators are applied to the construction of a fuzzy model of a d.c. series motor. A root-mean-square error is used as the criterion of the fuzzy model's adequacy to the real system. A number of mathematical operations necessary for the implementation of the fuzzy model are used as the criterion by which the fuzzy model's applicability if estimated from the point of view of computing techniques. The best types of fuzzy relations, representing fuzzy models of a real system, are chosen in order to secure the least root-mean-square error with minimal number of mathematical operations necessary for computer implementation.     

一种基于图像融合和卷积神经网络的相位恢复方法

相位恢复法利用光波传输中某一(或某些)截面上的光强分布来传感系统波前,其结构简单,不易受震动及环境干扰,被广泛应用于光学遥感和像差检测等领域.传统相位恢复法采用迭代计算,很难满足实时性要求,且在一定程度上依赖于迭代转换或迭代优化初值.为克服上述问题,本文提出了一种基于卷积神经网络的相位恢复方法,该方法采用基于小波变换的图像融合技术对焦面和离焦面图像进行融合处理,可在不损失图像信息的同时简化卷积神经网络的输入.网络模型训练完成后可依据输入的融合图像直接输出表征波前相位的4-9阶Zernike系数,且波前传感精度均方根(root-mean-square,RMS)可达0.015λ,λ=632.8 nm.研究了噪声、离焦量误差和图像采样分辨率等因素对波前传感精度的影响,验证了该方法对噪声具有一定鲁棒性,相对离焦量误差在7.5%内时,波前传感精度RMS仍可达0.05λ,且随着图像采样分辨率的提升,波前传感精度有所改善,但训练时间成本随之增加.此外,分析了实际应用中,当系统像差阶数与网络训练阶数略有差异时,本方法所能实现的传感精度,并给出了解决方案.     

非线性Duffing方程的高精度近似解

由参数迭代法得到非线性Duffing方程的高精度近似解,即使在小参数ε＝1的强非线性情况下,方程的误差函数在整个解域小于1％     

表面张力-重力短峰波作用的海底边界层速度二阶解

依据最近提出的三阶表面张力-重力短峰波理论,通过求解经典的Prandtl边界层方程,给出海底边界层速度的二阶解析解,为确定海底边界层的质量输运提供了一个必备的先行理论基础.     

巴比妥酸-3,4-C60吡咯衍生物的电子光谱及二阶非线性光学性质的理论研究

利用量子化学半经验AM1和ZINDO方法研究了巴比妥酸-3,4-C60吡咯衍生物的结构规律和光谱性质.以全自由度优化几何构型为基础,计算了化合物的电子光谱.对电子跃迁进行了指认,分析了光谱红移的原因,两类化合物在400 nm以上均产生非C60特征吸收.同时用INDO/CI-SOS方法计算了所设计的体系的二阶非线性光学系数βμ,其中βμ最大可达402.3×1030 esu.体系具有A-D-A结构,其共轭性对光谱和二阶非线性光学系数有较大影响,共轭程度越高,体系的βμ值越大,而λmax红移.与巴比妥酸-3,4-C60吡咯衍生物比较,相应的硫代巴比妥酸-3,4-C60吡咯衍生物的βμ值较大.     

用蛋白质作探针共振瑞利散射和共振非线性散射法测定硫酸软骨素A

在pH值为2.5~4.0的BR缓冲溶液介质中,牛血清白蛋白(BSA)、糜蛋白酶(Chy)和α-淀粉酶(α-Amy)等蛋白质与酸性多糖硫酸软骨素A(CS)形成结合物。 此时将会使共振瑞利散射(RRS)和二级散射(SOS)、倍频散射(FDS)等共振非线性散射的强度显著增大。 在蛋白质过量时,3种散射增强(ΔIRRS、ΔISOS和ΔIFDS)均在一定范围内与CS的浓度成正比,方法具有高灵敏度。 当用Chy、BSA和α-Amy作探针时,3种散射法对于CS的检出限分别在1.4~5.8 μg/L、2.0~13.2 μg/L和1.8~9.6 μg/L。 其中以Chy-CS体系的RRS法最灵敏(检出限1.4 μg/L),可用于痕量CS的测定。 研究了反应体系的RRS、SOS和FDS的光谱特征、适宜的反应条件和影响因素,并以Chy-CS体系为例考察了共存物质的影响,方法有良好的选择性,将其用于滴眼液中CS的测定,取得了较好的结果。     

离轴三反测绘相机调焦机构的设计

针对测绘相机对相机成像质量和内方位元素稳定性的要求,在分析3种调焦方式特点的基础上,确定了符合离轴三反测绘相机需要的调焦方式。设计了滚珠丝杠驱动的直线导轨式调焦机构,计算得到调焦机构的灵敏度为0.2μm。对该调焦机构进行了精度检测和试验验证,结果显示其指向精度〈2″,定位精度〈3μm。得到的结果表明：该空间调焦机构具有结构紧凑、刚度高、位移精度好等特点,能够满足离轴三反测绘相机的调焦要求。     

Controllability for a class of second-order evolution differential inclusions without compactness

In this paper, we discuss the existence and controllability for a class of second-order evolution differential inclusions without compactness in Banach spaces. By applying the technique of weak topology and Glicksberg–Ky Fan fixed point theorem, we prove our main results without the hypotheses of compactness on the operator generated by the linear part and any conditions on the multivalued nonlinearity expressed in terms of measures of noncompactness. Further, we extend our study to existence and controllability of second-order evolution differential inclusions with nonlocal conditions and impulses. Finally, an example is given for the illustration of the obtained theoretical results.