THE BÄCKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF SOLUTIONS FOR THE LIOUVILLE’S EQUATION IN HIGHER DIMENSIONS

In this paper, we show that Backlund transformation derived by Leibbrandt et al. for the Liouville’s equation in three spatial dimensions, ▽²a=expa, ▽²=-∂_x²+∂_y²+∂_z² can be decomposed into several Backlund transformations for the same equation in two spatial dimensions, moreover, the superposition formula which is derived from this transformation is actually invalid, thus the discussions based on that formula is incorrect as well. We also considered some results about the Liouville’s equation in N spatial dimensions.     

DYNAMIC RESPONSE OF PLATES ON ELASTIC FOUNDATIONS DUE TO THE MOVING LOADS

This paper discusses the dynarmic response of thin plates on the elastic foundations dueto the moving loads by means of the variational calculus. In the text we take the mass ofmoving loads into account. treat a series of questions such as the forced oscillatons,theinfluence surfaces of the flexions and the influence surfaces of the inner forces,resonanceconditions and critical speed and so forth.     

“PPAS” X-RAY ABSORPTION SPECTROSCOPY IN LASER-PRODUCED ALUMINUM PLASMA

We have developed and successfully demonstrated the "point projection absorption spectroscopy (hereafter abbreviated to PPAS)" technique to record keV X-ray absorption spectra in the coronal region of laser produced aluminum plasma which provides spatial information in the corona. Absorption spectrum of the Al Ⅻ 1s²-1s2p resonant line for time delays up to 250, 500 and 750 ps after the peak of the incident laser pulse have been observed. Analysis of an absorption spectrum should allow a high spatial resolution (< 25μm) history of the absorbing ion population density to be determined. The 1-D hydro-code JB19 has been used to simulate the experiment and the predictions are compared to the observations. Such comparison can be useful in validating parts of the codes used for gain prediction on recombination X-ray laser transitions.     

基于物理水平基准的组合式高程测量方法

针对空间坐标点相对于测量基准的高程测量准确性问题,提出一种基于物理水平基准的组合式高程测量方法。利用激光三角测量原理及其测量光路的几何特性,搭建了物理水平基准的高程测量系统,在朗伯散射光场中,分析了倾角变化对激光光能质心偏移量的影响,建立了相应的误差修正模型,利用倾角传感器实现了高程测量的倾角误差补偿,自主研制了标定平台对本文提出的高程测量系统进行标定验证试验。结果表明：本文提出的组合式高程测量方法能够在500 mm测量量程下将重复性测量误差控制在±20μm的波动范围内,相较于单一激光位移传感器测量方式,其组合式高程测量误差波动量大幅度降低,能够适应空间坐标点在任意姿态下的精准测量,有效改善激光位移传感器在高程测量领域的性能,使其测量结果更为真实有效。     

磁液磁光双稳特性的研究

本文基于磁液磁致双折射效应,实现了其磁光双稳特性的研究。理论上,建立了其磁光双稳传输模型、进行了计算机模拟,并在此基础上建立了相应的实验分析系统。研究表明:磁液薄膜具有良好的磁光双稳特性,可用作超长波红外波导器件。     

A-15型V3B系超导化合物正常态顺磁磁化率

本文根据文献[1]提出的d带相对移动模型,计算了A-15型V₃B系化合物的顺磁磁化率及其随温度变化的趋势,计算结果与实验数据大体相符。     

A-15型V_3B系超导化合物正常态顺磁磁化率

本文根据文献[1]提出的d带相对移动模型,计算了A-15型V_3B系化合物的顺磁磁化率及其随温度变化的趋势,计算结果与实验数据大体相符。     

光学方法清晰周期性图象

利用光学周期平均法能够清晰地描绘带有噪声的周期性图象。本文讨论了用这种处理方法所得到的较高信噪比,改进了实验装置,给出了相干光处理系统所使用的滤波器的具体形式和实验结果。     

孤立子

近几年来,在数学、物理、工程技术等许多领域的文献中,经常可以看到孤立子 (Soliton)这样一个陌生字眼。虽然这个新概念诞生在本世纪六十年代,而它的前身──孤立波(Solitary Wave)的发现要追溯到一百多年前英国科学家J.S.罗素(Russell)的一次壮观的奇遇。这事发生在1834年8月,他报导说:我观察过一次船的运动,这条船被两匹马拉着沿一条狭窄的运河迅速前进。突然船停了,被船体带过来的水聚集在船头周围,激烈地震荡着,然后突然离开船头,一个圆形的、光滑的、轮廓分明的巨大孤立水峰急速在水面上平移。在行进中,它的外形和速度并不改变。我…     

光学码盘简易制造法

<正> 近几年来,光学码盘在各种大型电子秤中的应用是比较广泛的。目前国内除长春光机所等极少几个单位采用光电投影法能制造光学码盘外,绝大部分光学仪器厂尚无制备手段。