Distinguishing Linear from Star‐Branched Polystyrene Solutions with Fourier‐Transform Rheology

Summary: Fourier‐Transform rheology (FT rheology) was used to study the influence of the degree of branching on the nonlinear relaxation behaviour of polystyrene solutions. The results were compared with those obtained under oscillatory shear and step‐shear conditions. The different topologies could be distinguished using FT rheology where the other rheological measurements failed. Significant differences occurred under large amplitude oscillatory shear (LAOS) conditions as particularly reflected in the phase difference of the third harmonic, Φ₃, which could be related to strain‐softening and strain‐hardening behaviour. Currently, this work is extended towards different topologies in polyolefins (e.g. long chain branched).

Phase difference Φ₃ as a function of the Deborah number De at γ₀ = 2 for the polystyrene solutions measured at temperatures from 295 to 350.5 K.     

关于非齐次细分方程的一个注记

非齐次细分方程在区间上小波构造中用于边界小波的构造,同时它用于向量小波构造等方面,本文讨论了非齐次细分方程在Ｌ＾ｐ（Ｒ）（１≤ｐ≤∞）中解的存在必和正则性,特别地,用迹类算子的谱半径给出了解的Ｓｏｂｌｅｖ指数的一个下界估计,同时命同了一些例子来说明这些一般性的结论     

用灰阶编码掩模实现邻近效应精细校正的研究

提出了用灰阶编码的二元掩模代替灰阶掩模实现邻近效应精细校正的新方法,并阐述了新方法的特点,讨论了灰阶编码掩模与灰阶掩模的等效关系,给出了灰阶编码掩模实现光学邻近效应校正的模拟结果,校正后的综合面积偏差比较正前减少了１０％。     

Amplitude equation for the stochastic reaction‐diffusion equations with random Neumann boundary conditions

In this paper, we consider a quite general class of reaction‐diffusion equations with cubic nonlinearities and with random Neumann boundary conditions. We derive rigorously amplitude equations, using the natural separation of time‐scales near a change of stability and investigate whether additive degenerate noise and random boundary conditions can lead to stabilization of the solution of the stochastic partial differential equation or not. The nonlinear heat equation (Ginzburg–Landau equation) is used to illustrate our result. Copyright © 2015 John Wiley & Sons, Ltd.     

Study of Nonlinear Models of Oscillatory Systems by Applying an Intelligent Computational Technique

In this paper, we have analyzed the mathematical model of various nonlinear oscillators arising in different fields of engineering. Further, approximate solutions for different variations in oscillators are studied by using feedforward neural networks (NNs) based on the backpropagated Levenberg–Marquardt algorithm (BLMA). A data set for different problem scenarios for the supervised learning of BLMA has been generated by the Runge–Kutta method of order 4 (RK-4) with the “NDSolve” package in Mathematica. The worth of the approximate solution by NN-BLMA is attained by employing the processing of testing, training, and validation of the reference data set. For each model, convergence analysis, error histograms, regression analysis, and curve fitting are considered to study the robustness and accuracy of the design scheme.     

深振幅Al调制靶的化学腐蚀制备工艺研究

 介绍了用于惯性约束聚变分解实验的铝调制靶的制备。以半导体光刻工艺结合化学腐蚀工艺在铝箔表面引入周期为50 μm的条槽图形,研究腐蚀条件对腐蚀速率的影响;采用光学显微镜、扫描电镜和台阶仪对图形形貌和样品表面成分进行测量和分析,获得厚度在32 μm左右、腐蚀深度达到20 μm的铝调制靶。     

基于MTF一致性的波前编码相位板参数研究

波前编码成像系统因能够在不降低系统分辨率和入射光能量的情况下扩大非相干光学成像的景深（焦深）而倍受关注。在波前编码技术理论的基础上,以波前编码成像系统离焦时的MTF和未离焦时的MTF的均方差来表征系统离焦时的MTF一致性,即系统的离焦不变性,分析得到了三次相位板系数的合理选取范围。利用模糊函数的性质和系统传递信息能力分析相位板系数的选择对系统传递信息的影响,从而确定三次相位板参数选择的依据。     

Strategies for baryon resonance analysis

The analytic properties of scattering amplitudes provide a meeting point for experimental and theoretical investigations of baryon resonances. Pole positions and residues allow for a parameterization of resonances in a well-defined way which relates different reactions. The recent progress made within the Jiilich model is summarized.     

光孤子对的振幅比与相位差对传输的影响

利用分步傅里叶变换法分别求解含三阶色散效应和不考虑三阶色散情况下的光孤子非线性薛定谔（NLS）方程,通过数值求解发现三阶色散效应会使孤子对脉冲发生单边振荡,并在振荡侧逐级产生次脉冲。讨论孤子对的两束孤子脉冲之间的振幅比与相位差对传输的影响,发现在不考虑三阶色散的情况下,振幅比与相位差均对孤子对的传输有显著影响,在考虑三阶色散效应时,只有相位差对孤子对的传输产生影响,并可以导致脉冲能量转移。     

Strategies for baryon resonance analysis

The analytic properties theoretical investigations of baryon of scattering amplitudes provide a meeting point for experimental and resonances. Pole positions and residues allow for a parameterization of resonances in a well-defined way which relates different reactions. The recent progress made within the Jiilich model is summarized.