The bending stability and vibrations of cantilever rectangular plates

This paper discusses the problems of the bending, stability and vibrations of cantilever rectangular plates by means of the variational method. In the text a good many calculating examples are illustrated.     

THE APPLICATION OF WEINSTEIN-CHIEN’S METHOD——THE UPPER AND LOWER LIMITS OF FUNDAMENTAL FREQUENCY OF RECTANGULAR PLATES WITH EDGES ARE THE MIXTURE OF SIMPLY SUPPORTED POR-TIONS AND CLAMPED PORTIONS

In this paper, the method of relaxed boundary conditions is applied to rectangular plates with edges which are a sort of the mixture of simply supported portions and clamped portions, so that the lower limit of fundamental frequency of such plates is evaluated. A kind of polynomial satisfying the displacement boundary conditions is designed, os that it is enabled to evaluate the upper limit of fundamental frequency by Ritz’ method. The practical calculation examples solved by these methods have given satisfactory results. At the end of this paper, it is pointed out that the socalled exact solution of such plates usually evaluated by the force superposition method is essentially a kind of lower limit of solution, if the truncated error of series which occurs in actual calculation is considered.     

Shift in cyclotron resonance of electrons on liquid helium surfaces

We calculate the increase in cyclotron resonance frequency for electrons trapped within dimples on a liquid helium surface, when a vertical electric field is applied in addition to the strong vertical magnetic field.     

液面法超声全息成象的理论分析与实验结果

本文采用傅里叶分析方法,对液面法超声全息成象原理作了较为严格的理论分析,给出了物体束的空间分布为任意函数时,液面起伏的计算公式.并给出了物体束为空间方脉冲时,液面起伏、重现之一级象（即通常称为全息象）,零级象（相应于普通的非全息象）的计算结果,讨论了影响象的强度、畸变、分辨率的因素等问题,对全息象和非全息象的优缺点作了比较。最后,还给出了部分实验结果,其结果与理论计算比较符合。     

采用光纤和YAP晶体的小型γ相机的蒙特卡罗模拟

基于波长位移光纤(WSF)耦合YAP晶体中的光子传输特性,用GEANT4软件包建立了一个蒙特卡罗模拟程序.对采用波长位移光纤耦合平板式YAP晶体的小型单管γ相机的性能进行了计算机模拟.采用波长位移光纤耦合光电倍增管光阴极面的读出方式,和晶体直接耦合光电倍增管光阴极面相比,在相同的晶体面积大小条件下,PSPMT光阴极面积可大大缩小,使费用降低.模拟结果表明：γ射线与晶体发生作用的地方所对应的光纤输出的平均光子数最少为15个,位置灵敏光电倍增管完全可以探测到.说明采用闪烁晶体－WSF－位置灵敏光电倍增管的读出方式是可行的;在用硅油耦合波长位移光纤和YAP晶体的情况下,获得的空间分辨率为1.28 mm(FWHM).模拟结果也说明了增加平均光子数对提高空间分辨率的重要性.     

低偏振相关损耗全息光栅波分复用器的设计

对基于掺杂铌酸锂材料的体光栅波分复用器主要结构和光栅记录参量提出了一种优化设计方法.采用严格耦合波理论,对两种偏振不同入射角和不同记录晶体厚度下的器件关键性能参量,如插入损耗和偏振相关损耗等进行了优化.数值结果证明采用优化设计的晶体厚度和光栅记录时的入射角,在获得相当低的偏振相关损耗的同时,也能够获得较低的插入损耗,实现了综合性能优化的波分复用器设计.实验结果证明用优化设计的参量能有效降低波分复用器件的插入损耗和偏振相关损耗.