Hamilton formalism and Noether symmetry for mechanico—electrical systems with fractional derivatives

This paper presents extensions to the traditional calculus of variations for mechanico-electrical systems containing fractional derivatives.The Euler-Lagrange equations and the Hamilton formalism of the mechanico-electrical systems with fractional derivatives are established.The definition and the criteria for the fractional generalized Noether quasisymmetry are presented.Furthermore,the fractional Noether theorem and conseved quantities of the systems are obtained by virtue of the invariance of the Hamiltonian action under the infinitesimal transformations.An example is presented to illustrate the application of the results.     

干涉条纹大数计数软件新方法及其实现

提出了一种根据干涉条纹信号过上升沿与下降沿阈值计数的异同及其起始和结束位置幅值判断的软件大数计数新方法,解决了在干涉条纹信号开始和结束位置可能出现±1计数误差的问题,进行了实现新计数方法的干涉测量实验。实验结果表明了该软件大数计数新方法的正确性。     

Cu/TiOx复合薄膜的电子态分析及其对亲水性的影响

在室温下,采用射频磁控溅射法制备了Cu/TiO_x纳米晶复合薄膜.利用X射线粉末衍射（XRD）、X射线光电子能谱（XPS）对其结构进行表征,并研究了Cu/TiO_x复合薄膜的UV-vis吸收谱和亲水性.结果表明,退火前后薄膜中钛元素皆以Ti³⁺形式存在.薄膜在可见区有吸收,吸收限为600 nm左右.Cu/TiO_x复合薄膜具有良好的亲水性.这主要是由于Cu的掺杂,使得薄膜的性能的亲水性变好. 关键词： x复合薄膜')" href="#">Cu/TiO_x复合薄膜 射频磁控溅射 XPS 亲水性     

Large-scale photonic crystals with inserted defects and their optical properties

Deliberately introducing defects into photonic crystals is an important way to functionalize the photonic crystals. We prepare a special large-scale three-dimensional(3D) photonic crystal(PC) with designed defects by an easy and low-cost method. The defect layer consists of photoresist strips or air-core strips. Field emission scanning electron microscopy(FESEM) shows that the 3D PC is of good quality and the defect layer is uniform. Different defect states shown in the ultraviolet-visible spectra are induced by the photoresist strip layer and air-core strip layer. The special large-scale 3D PC can be tested for integrated optical circuits, and the defects can act as optical waveguides.     

压电堆叠作动器的对称性求解

研究了压电堆叠作动器的对称性,并给出了系统存在的守恒量和对称性解.以轴向运动的压电堆叠作动器为研究对象,根据其结构特点,选取位移和磁链作为广义坐标,运用能量方法,建立了压电堆叠作动器的Lagrange(拉格朗日)方程.引入位移和磁链广义坐标的无限小群变换,分别研究了压电堆叠作动器的Noether对称性和Lie对称性,给出了广义Noether恒等式、广义Killing方程、广义Noether定理和Lie定理,计算了压电堆叠作动器存在的Noether对称性和Lie对称性的生成元,并给出了相应系统存在的守恒量.最后,利用得到的守恒量,给出了压电堆叠作动器对称性解,并计算了在控制电压变化的情况下位移和速度的动态响应曲线.     

基于干涉条纹跟踪实现纳米级位移测量的方法研究

设计了一套干涉条纹图像实时采集处理系统。在分析迈克尔逊干涉条纹特征表象的基础上 ,给出了通过跟踪干涉条纹的移动量测量被测对象纳米级位移量的理论公式 ;提出了干涉条纹特征点的提取与跟踪算法 :分段线性变换、方形窗口中值滤波和门限化边缘提取 ,给出了基于统计学原理的通过计算多条干涉条纹移动量获得被测对象纳米级位移量的计算公式。实验结果表明了该方法的有效性和实用性     

大范围高精度的纳米测量现状与发展趋势

介绍了用于大范围高精度纳米测量的方法和当前的发展动态。给出了大范围高精度纳米测量所取得的成果及具体的仪器装置。提出了一种基于合成波长条纹细分原理的新颖的纳米测量方法,在数十毫米的测量范围内,理论上可以达到1/440000的细分系数。     

A new type of conserved quantity of Mei symmetry for the motion of mechanico electrical coupling dynamical systems

We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico-electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results.     

Influence of colloidal particle transfer on the quality of self-assembling colloidal photonic crystal under confined condition

The relationship between colloidal particle transfer and the quality of colloidal photonic crystal(CPC) is investigated by comparing colloidal particle self-assembling under the vertical channel(VC) and horizontal channel(HC) conditions.Both the theoretical analyses and the experimental measurements indicate that crystal quality depends on the stability of mass transfer.For the VC,colloidal particle transfer takes place in a stable laminar flow,which is conducive to forming high-quality crystal.In contrast,it happens in an unstable turbulent flow for the HC.Crystals with cracks and an uneven surface formed under the HC condition can be seen from the images of a field emission scanning electron microscope(SEM) and a three-dimensional(3D) laser scanning microscope(LSM),respectively.     

Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems

A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplectic-energy-first integrators for mechanico-electrical systems are derived. To do this, the time step adaptation is employed. The discrete variational principle and the Euler--Lagrange equation are derived for the systems. By using this discrete algorithm it is shown that mechanico-electrical systems are not symplectic and their energies are not conserved unless they are Lagrange mechanico-electrical systems. A practical example is presented to illustrate these results.