The Detection of Defects in Optical Fibers Using a Hybrid Opto-electronic Correlator

A hybrid opto-electronic correlator for detecting defects in optical fibers is proposed. After the light from a He-Ne laser being expanded and filtered it is not collimated but directly passes a Fourier transform lens and illuminates a reference fiber and a test fiber at the same input plane. The Fourier transform spectrum of the two fibers is therefore obtained at the rear focal plane of the lens, where it is sampled via a CCD array connected with a computer through a frame grabber. The computer performs filter, inverse Fourier transform and setting threshold operation on classification. The system is an equivalent of joint transform correlator with a Fourier lens of long focal length. The experiment results for optical fibers having incoordinate defects are presented. The results indicate that the system can be used for fiber defect detection, and has the advantages of high identification, compact configuration, easy adjustment and flexible manipulation.     

热原子核巨共振的微观研究——巨共振的衰变与热核的性质

运用微观多体理论,对热原子核巨四极共振进行了比较研究,发现两体关联密度矩阵理论能更好地描述热核的巨共振衰变和热核的其它性质.     

频率域数字散斑相关方法的研究

提出一种利用二维快速傅里叶变换（ＦＦＴ）经频率域匹配滤波实现数字相关运算以提取散斑图携带位移信息的频率域数字散斑相关方法。该方法因采取快速傅里叶变换、散斑限幅、滤波器优化等措施而减弱了空间域相关方法中不利因素对相关波峰的影响,提出了相关点定位的时效性和精确性。     

Classical Skew Orthogonal Polynomials and Random Matrices

Skew orthogonal polynomials arise in the calculation of the n-point distribution function for the eigenvalues of ensembles of random matrices with orthogonal or symplectic symmetry. In particular, the distribution functions are completely determined by a certain sum involving the skew orthogonal polynomials. In the case that the eigenvalue probability density function involves a classical weight function, explicit formulas for the skew orthogonal polynomials are given in terms of related orthogonal polynomials, and the structure is used to give a closed-form expression for the sum. This theory treates all classical cases on an equal footing, giving formulas applicable at once to the Hermite, Laguerre, and Jacobi cases.     

用零相关相位板匀滑散斑的理论研究

对零相关相位板匀滑散斑的特性进行了理论分析和散值计算,结果表明尽管零相关相位板是针对入射场为平面波面而设计的,但在入射场的振幅和相位有一定起伏的情况下,其远场光斑的散斑对比度明显低于采用随机相位板的情形.因而用零盯关相位板匀滑散斑是一种更为有效的方法.     

Spatio-Temporal Evolution of Initial Coherent State Under the Action of Quantum Integrable and Nonintegrable Systems

According to the exactly formulated concepts of quantum integrability and nonintegrability,an initial coherent state |Φ⁰(γ)>evolving under the action of an integrable Hamiltonian having the same dynamical symmetry is expressed as an analytical function of γ and t. The expectation values of various dynamical variables should be expressed as correlated analytical functions of γ and t . Thus, the general characters of initial coherent state would be maintained during the spatio-temporal evolution under the action of such a system even if the wavepacket is slightly distorted. In contrast, when the integrability condition is destroyed, these features will be lost during the evolution. This theoretical prediction is illustrated with numerical results computed for the two-level Lipkin model with a dou ble-well potential and dynamical explanations are given. And the Eherenfest time is verified with this model.     

spin-Peierls系统低能量激发谱的理论研究

用玻色化技术和量子自洽方法研究了spin-Peierls系统的低能量激发谱,计算了二聚化相的基态、单粒子激发态和双粒子束缚态的能量、阻挫对其低能量行为的影响及其各自的自旋-自旋关联函数.结果表明,随着阻挫的增大,spin-Peierls系统中的基态能会逐渐减小,单粒子激发态能隙和双粒子束缚态能隙却会增大.双粒子束缚态和基态的关联函数具有类似的短程关联,而单粒子激发态的关联函数具有长程关联.因此导出,单粒子激发态为自旋三重态,双粒子束缚态与基态类似为自旋单态,它存在于双粒子连续激发态的下边.该结果与Ain等 关键词： spin-Peierls系统 束缚态 关联函数     

最小相关系数的多元校正波长选择算法

在近红外光谱的定量分析中,由于仪器的精密程度越来越高,采集的光谱数据通常具有很高的维度.因此,波长选择对于剔除噪声及冗余变量,简化模型,提高模型的预测性能是必不可少的.近红外光谱特征波长选择方法众多,但变量间的多重共线性问题仍是导致模型效果较差的一个关键问题.变量间共线性可以通过相关系数进行分析,当相关系数高于0.8,...     

FTIR光谱结合曲线拟合研究萌发水稻种子

种子的萌发是种子生命历程中的主要组成部分之一,了解种子萌发过程中经历的生理生化变化,准确确定种子的活力,对农业生产很重要,因而,研究种子萌发有重要意义。采用傅里叶变换红外光谱结合曲线拟合研究不同萌发程度的水稻种子,以探寻种子贮藏物质动员情况,对不同萌发时间的水稻种子进行傅里叶变换红外光谱、二阶导数光谱、二维相关红外光谱和曲线拟合研究。结果显示,原始红外光谱整体相似,光谱反映出水稻种子的主要贮藏物质为淀粉、蛋白质和脂肪;吸收峰强度比A_{1 659}/A_{1 019},A_{1 740}/A_{1 019},A_{1 157}/A_{1 019},A_{1 157}/A_{1 081}随萌发时间的增加而降低。814～1 000和1 028～1 340 cm-1范围内的二维相关红外光谱结果显示自动峰个数和最强自动峰的位置、强度随种子萌发时间的增加而变化,表明种子在萌发过程中糖类和蛋白质发生变化。二阶导数光谱在1 200～950 cm-1范围内出现七个峰,其中988 cm-1处的峰随萌发时间的增加向较高波数蓝移,而1 053和1 158 cm-1处的峰向较低波数红移,表明水稻种子在萌发过程中多糖的结构和含量可能发生了变化;在1 700～1 600 cm-1范围内出现九个峰,其中1 641和1 692 cm-1处的峰呈现随萌发时间的增加红移到较低波数的趋势,表明水稻种子在萌发过程中蛋白质的结构和含量可能发生了变化;在1 800～1 700 cm-1范围二阶导数光谱仅观察到1 712和1 744 cm-1处的两个峰,其中1 744 cm-1由脂类物质C═O伸缩振动引起,为脂肪的特征峰。为进一步研究水稻种子萌发过程中贮藏物质的具体变化,以二阶导数光谱确定的子峰位置和数目为依据,对原始红外光谱的1 200～950与1 800～1 600 cm-1区域进行曲线拟合分析。曲线拟合结果显示,随萌发时间的增加,多糖和蛋白质的相对含量总体上呈现下降趋势,脂肪的相对含量先降后升。研究表明,傅里叶变换红外光谱结合曲线拟合可作为研究种子萌发的有效手段。     

A labeling scheme for young tableaux spanning representations of permutation group S(N)

A structure‐dependent labeling scheme for the Standard Young Tableaux spanning the representations of the permutation group is outlined in the present work. This scheme is used to generate the representations of a select class of permutations such as dense cycles and general transpositions of the group using minimal storage requirements. Two distinct approaches are outlined for generating the tableaux in the present labeling scheme. Detailed application has been made to two‐column Young diagram representations that are extremely useful in electron correlation studies in molecules. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 185–190, 2000