Bifurcation from two equilibria of steady state solutions for non-reversible amplitude equations

In this paper, bifurcation and stability of two kinds of constant stationary solutions for non-reversible amplitude equations on a bounded domain with Neumann boundary conditions are investigated by using the perturbation theory and weak nonlinear analysis. The asymptotic behaviors and local properties of two explicit steady state solutions, and pitch-fork bifurcations are also obtained if the bounded domain is regarded as a parameter. In addition, the stability of a new increasing or decaying local steady state solution with oscillations are analyzed.     

Oscillation of solutions of second-order linear differential equations and corresponding difference equations

In this paper, we present conditions ensuring that solutions of linear second-order differential equations oscillate, provided solutions of corresponding difference equations oscillate. We also establish the converse result, namely, when oscillation of solutions of difference equations implies oscillation of solutions of corresponding differential equations.     

QuEChERS/高效液相色谱-串联质谱法测定面膜中10种荧光增白剂

建立了QuEChERS/高效液相色谱-串联质谱法测定面膜中10种荧光增白剂的分析方法。样品经水溶解后,以乙腈提取目标化合物,加入NaCl和无水MgSO_4,再通过C_(18)填料和正丙基乙二胺(PSA)净化,离心氮吹浓缩,乙腈定容后上机检测。C_(18)色谱柱分离,以10 mmol/L乙酸铵-乙腈梯度洗脱,多反应监测(MRM)正负离子模式交替扫描,外标法定量。结果显示,10种荧光增白剂在一定浓度范围内呈良好的线性,相关系数(r~2)均大于0.99,正离子模式的6种目标化合物检出限(S/N=3)为0.05～1.0μg/kg,定量下限为0.2～3.0μg/kg,负离子模式的4种目标化合物检出限(S/N=3)为0.1～1.0 mg/kg,定量下限为0.3～2.0 mg/kg;方法平均回收率为64.4%～106%,相对标准偏差(n=6)为2.6%～8.5%,该方法操作简单,回收率高,适用于面膜中10种荧光增白剂的测定。     

一种新颖的取样光纤光栅振幅版的研制

提出了一种新颖的用于制作取样光纤光栅的取样振幅版的设计方案,其特点是具有渐变的取样周期和不变的占空比,利用这种振幅版可以简单灵活地制作出反射峰波长间隔不同的取样光栅梳状滤波器,有利于提高取样光栅的制作灵活性并降低成本.对这种方法可能存在的不足也进行了分析.利用制作出的取样光栅,基于全光纤结构实现了具有游标尺式波长调谐机理的可选波长光纤激光器. 关键词： 取样光纤光栅 梳状滤波器 可选波长光纤激光器 振幅版     

Apodization‐Assisted Subdiffraction Near‐Field Localization in 2D Phase Diffraction Grating

Conventional phase diffraction gratings can be used to localize the incoming optical radiation in the near‐field region. A new design of the binary phase diffraction grating is proposed with embedded pupil opaque mask inside each stripe. By means of numerical simulations, it is shown that with this masked phase grating the spatial resolution of the near‐field localization can be substantially improved and brought even beyond the solid immersion limit (λ/2n). Moreover, due to anomalous apodization effect, the subdiffraction field localization is accompanied by intensity enhancement as compared to the non‐masked design. The pupil mask rearranges the optical fluxes within the stripes and promotes the Fano resonances excitation in the periodic step lattice. This can be important for advancing the phase grating‐based super‐resolution technologies, including subdiffraction imaging, interferometry, and surface fabrication.     

面膜中微量元素的ICP-MS定量方法及其吸收率研究

以5种面膜为研究对象,采用电感耦合等离子体质谱技术,通过外标法对面膜中的12种微量元素进行定量分析,建立了敷面膜时间与微量元素含量的关系曲线,探究面部皮肤对微量元素的吸收率。结果表明:5种面膜中均检出的微量元素含量由高到低为Al、Sn、Fe、Zn、Hg,含量为0.027~5.209 mg/kg;人体面部皮肤对Se、Zn和Fe的吸收率较高,对Sn、Al的吸收率较低。该定量方法简单、快速、准确可靠,可为面膜中微量元素的研究及面膜的安全有效使用提供实验依据。     

基于正弦光栅调制的相位恢复

提出一种基于正弦光栅调制的相位恢复方法.首先,在空间光调制器上加载两个不同方向的正弦光栅对光场复振幅进行调制;然后,推导强度信息和相位偏导数之间的关系式;最后由强度信息计算相位偏导数,进而恢复相位.实验分别测试了该方法对简单图像、复杂图像以及含噪声图像的恢复能力.实验结果表明,该方法可以通过方便地控制图像移动量来有效恢复相位信息,适用于不同尺度的相位物体的计算.     

基于加速度矢量特征的老人跌倒检测装置设计

针对老人意外跌倒的及时救助问题,设计了一种基于加速度矢量特征的老人跌倒检测装置。该装置结合加速度传感器MMA8452Q、GSM通信和GPS定位技术,通过分析人体姿态变化时的加速度矢量特征,利用加速度Z轴分量和加速度幅值作为跌倒判定的基础准则,并且考虑到跌倒后是否严重未起来,以加速度幅值的瞬时变化值为辅助提高了对于跌倒检测求助事件的判定准确性,据此远程报警并发送老人位置信息以及时施救。实测结果表明,该装置能准确地辨别出老人日常行为和意外跌倒需要求助状态并进行报警,降低跌倒带来的风险,实用性强。