Fourier-Feynman transform, convolution and first variation

We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral. This revised version was published online in June 2006 with corrections to the Cover Date.     

Ergodic isospectral theory of the Lax pairs of Euler equations with harmonic analysis flavor

Isospectral theory of the Lax pairs of both 3D and 2D Euler equations of inviscid fluids is developed. Eigenfunctions are represented through an ergodic integral. The Koopman group and mean ergodic theorem are utilized. Further harmonic analysis results on the ergodic integral are introduced. The ergodic integral is a limit of the oscillatory integral of the first kind.

     

Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder

This paper presents a numerical study of a two‐dimensional time‐dependent flow around a cylinder. Its main objective is to provide accurate reference values for the maximal drag and lift coefficient at the cylinder and for the pressure difference between the front and the back of the cylinder at the final time. In addition, the accuracy of these values obtained with different time stepping schemes and different finite element methods is studied. Copyright © 2004 John Wiley & Sons, Ltd.     

有限长通电螺线管空间的磁场分布

本文计算了有限长通电螺线管空间的磁感应强度分布，给出了解析表达式，并绘出了它们的空间分布图。     

NMR investigation of concentrated alumina and silica slurries

The longitudinal relaxation times (T₁) of water in concentrated silica and alumina slurries were measured as a function of solids content. It was shown that the results could be fit very well with a two-phase fast-exchange model between free and surface-bound water. As expected, values of T₁ for bound water were in the order of 20–2000 times lower than that for free water, indicating a higher effective viscosity of the surface-bound water. The strength of the interaction depended on the particular surface, and all of the aluminas examined interacted more strongly with water than the two silicas studied, which themselves differed considerably. The chemical mechanical polishing (CMP) removal rate of tantalum by silica slurries was shown to be directly correlated with the interaction parameters, derived from the NMR relation times rather than with total surface hydroxyl group concentration.     

滤片-XRD探测系统响应时间测量

 研究了软X射线能谱仪探测道系统(系统包括X射线二极管（XRD）、SUJ-50-10电缆和不同频带示波器)的响应时间。实验利用上海激光联合实验室的20TW激光器激光(激光能量约20J，脉冲宽度约1ps)打金箔靶产生的X光，用XRD探测系统测量，记录示波器有TK684C，TK694C和WM8500等。将实验数据进行了线性拟合和比对分析。滤片XRD探测系统的响应时间随偏压升高而加快，随传输电缆长度的增加而变慢，因此测量快信号过程时，应提高探测器偏压，缩短传输电缆，选择宽频带高采样率示波器，以便减少系统的响应时间，减小信号失真程度。     

步进扫描时间分辨光谱及其在太阳电池光电导上的应用

建立傅里叶变换步进扫描时间分辨光电导光谱，并研究太阳电池中与转换效率密切相关的少数载流子寿命.实验选取三种典型的硅太阳电池(单晶硅样品1、多晶硅样品2和多晶硅样品3 )，发现其瞬态光电导的上升和衰退曲线可以分别用两个简单的指数函数描述.由于有复合中心的参与，复合过程中少数载流子的寿命比产生过程中的寿命短.为验证实验结果的可靠性，采用了提取样品少数载流子的体寿命和计算其有效扩散长度两种方法.通过与太阳电池暗伏安特性和负载特性研究相结合，进一步分析和讨论了少数载流子寿命与短路电流、开路电压和转换效率的关系.同时探讨了步进扫描时间分辨光谱实验的其他用途. 关键词： 步进扫描 时间分辨 硅太阳电池 瞬态光电导     

切伦柯夫相互作用中分段式慢波结构与均匀慢波结构的比较研究

 分析了切伦柯夫束波相互作用中使用单段慢波结构的缺点。指出在分段式慢波结构中，漂移段及其两端的慢波结构组成一Bragg谐振腔，当漂移段长度合适时，根据渡越时间效应理论，这种结构能减小调制束中电子的速度分散，提高束波转化效率。通过粒子模拟方法，比较了均匀慢波结构与分段式慢波结构中束波相互作用的物理图像，验证了理论分析结果，并说明了后者有束密度群聚充分，束电子速度分散小，产生微波功率高、频谱质量好，最佳工作电流大，输入电功率高等优点。     

X波段六腔渡越管振荡器的高频特性研究

 从麦克斯韦方程出发，采用时域有限差分法（FDTD）和离散傅里叶变换（DFFT）相结合的方法，通过数值计算得出了六腔开放式谐振腔中前四个谐振频率和场分布，计算出的谐振频率与实验测量结果基本相同。比较了开放腔和封闭腔谐振频率，验证了TEM波吸收边界条件，并在实际编程计算中得以应用。计算结果为六腔渡越管振荡器的机理研究提供了依据。     

分散剂对RF凝胶掺钛过程的影响

 以间苯二酚、甲醛和经分散的纳米钛粉为反应前体，利用物理掺杂方法研究了掺钛RF凝胶的制备工艺，并在凝胶过程中以zeta电位 粒径分布测试仪对溶液的粒径分布进行分析测试。实验发现六偏磷酸钠对纳米钛粉的分散性最好，掺杂后凝胶时间明显缩短；分散剂种类和用量对凝胶时间有较大影响，其用量为纳米钛粉量的50~100倍为宜。