Stochastic resonance in a bistable system with time-delayed feedback and non-Gaussian noise

The phenomenon of stochastic resonance in a bistable system with time-delayed feedback driven by non-Gaussian noise is investigated. Combining the small time delay approximation, the path-integral approach and the unified colored noise approximation, a general approximate Fokker–Planck equation of a stochastic system is obtained. The effects of the parameter q indicating the departure from the Gaussian noise, the delay time τ  , and the correlation time τ₀${\tau }_0$ of the non-Gaussian noise on the quasi-steady-state probability distribution function (SPD) and the signal-to-noise ratio (SNR) are discussed. It is found that the number of peaks in SPD and the reentrant transition between one peak and two peaks and then to one peak again in the curve of SNR depends on the parameter q, the delay time τ  , and the noise correlation time τ₀${\tau }_0$.     

Preparation and optical properties of high-quality oriented of Al and Er co-doped ZnO thin films

High-quality c-axis oriented Al and Er co-doped ZnO films were prepared on the quartz glasses by sol?Cgel method. In order to obtain the optimal processing parameters for the growth of the oriented film, an L₁₆ (4⁵) orthogonal experimental design was chosen. The experimental results show the rank of 5-factors as follows: Er at.%?>?the number of coating layer?>?annealing temperature?>?Al at.%?>?the concentration of the sol. The Al and Er co-doped film prepared using the optimal parameters exhibits the preferential orientation along the c-axis perpendicular to the substrate surface. In addition, the structural, morphological and optical properties of the films were studied by X-ray diffraction, scanning electron microscopy, and UV?Cvisible spectrophotometer, respectively. The photoluminescence spectra were also used to characterize the luminescence properties of the samples. It is found that when ZnO was co-doped with 7?% Al and 1.5?% Er, the blue emission centered at 465?nm disappears and the green emission centered at 547?nm increases with a blue shift, resulted from the rapid reducing of the interstitial Zn defect, and increasing of the oxygen defects and vacancies caused by Al³⁺ and Er³⁺ dopants.     

Visualization and Characterization of Atherosclerotic Plaques by Micro-MRI at 4.7 T In Vivo and 11.7 T Ex Vivo

The aim of this study was to evaluate the capability of using micro-magnetic resonance imaging (MRI) to visualize and characterize atherosclerotic plaques of mouse models. Twenty five apolipoprotein E-knockout mice were fed atherogenic diet, which enabled creation of aortic atherosclerotic plaques. Aortic plaques were examined in vivo by 4.7 T MRI and then characterized ex vivo by 11.7 T three-dimensional MRI. MR images were correlated with subsequent histological confirmation. In vivo 4.7-T MRI demonstrated unevenly thickened aortic walls due to formation of atherosclerotic plaques. Ex vivo 11.7-T MRI enabled not only to acquire full volume-rendered images of the entire vessels but also to characterize plaque components (such as lipid cores and fibrous caps) at any level and any projection, which were confirmed by histological correlation. Micro-MRI provides an excellent imaging tool for basic science to investigate atherosclerosis in small animal models, which may become a supplement to histopathology of atherosclerotic cardiovascular disease.     

From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics

Using the thermo entangled state representation and based on the thermo Wigner operator we first introduce the thermo Husimi operator, which turns out to be a projective operator of the thermo squeezed coherent state, therefore the positive definite property of Husimi distribution function can be insured. In addition, we find the use of the thermo Husimi operator in simplifying the form of master equations.     

On a Hilbert-type linear series operator and its applications

This paper deals with a Hilbert-type linear series operator and its norm. Several generalizations of the Hilbert-type inequalities whose kernels are symmetric and homogeneous of the first order are presented. Included are applications of some new extended Hilbert-type inequalities with the best possible constant factors and the equivalent forms are established. Also, the reverse forms and some particular forms are obtained as special cases of the results of this paper.     

On parameterized block triangular preconditioners for generalized saddle point problems

In this paper, we discuss two classes of parameterized block triangular preconditioners for the generalized saddle point problems. These preconditioners generalize the common block diagonal and triangular preconditioners. We will give distributions of the eigenvalues of the preconditioned matrix and provide estimates for the interval containing the real eigenvalues. Numerical experiments of a model Stokes problem are presented.     

LCOS大屏幕薄型背投电视广角投影物镜的设计

为了满足67英寸大屏幕LCOS背投电视的需要,设计了一款广角投影物镜.此广角投影镜头采用远心反远距结构,通过合理选用非球面和光学材料,设计的镜头具有视场大、投影距离短、工作距离长、相对孔径大、无渐晕、辐照度均匀等优点.在LCOS芯片奈奎斯特空间频率处的调制传递函数值高于0.5,色差仅约1/4像元,畸变低于5‰.     

纳秒激光刻蚀玻璃基质铬薄膜直写微光栅结构

利用波长为351 nm的半导体泵浦全固态脉冲激光器,采用双光束干涉方法,对蒸镀在石英玻璃衬底上的铬薄膜直接刻蚀形成微光栅结构的方法进行了实验研究.通过实验,分析了激光能量和脉冲数与微光栅结构槽形和一级衍射效率之间的关系.利用光学显微镜和原子力显微镜检测分析光栅槽形,测得槽深为253 nm的最佳微光栅结构,并测得其在波长为532 nm的激光的一级衍射效率为6.5%.结果表明：在激光能量为1 150 μJ时,适当增加曝光脉冲数有利于提高制备光栅的槽深和一级衍射效率.     

纳米银组装结构上罗丹明B的表面增强荧光效应

采用表面自组装技术,在玻璃表面构筑银纳米粒子的二维组装结构。银纳米粒子组装结构的表面等离子共振光谱中偶极子表面等离子体共振对组装结构更为敏感而表现出较大位移。组装银纳米粒子可极大增强罗丹明B的荧光。荧光的表面增强效应主要来自银纳米粒子对荧光分子所处区域的局部电磁场增强,银纳米粒子的表面分子修饰对其表面增强效应有较大的影响。