Nonparaxial diffraction of vectorial plane waves at a small aperture

By using the vectorial Rayleigh diffraction integrals, a nonparaxial propagation equation of vectorial plane waves diffracted at a small rectangular aperture is derived analytically and some special cases are discussed. Numerical calculation results are given to illustrate the applicability and validity of our theoretical formulae. It is shown that for the apertured case the ratio of the aperture width and wavelength affects the beam nonparaxiality. The nonparaxial approach presented in this paper has to be used for diffracted plane waves if the aperture width is comparable with or less than the wavelength.     

核密度估计在预测风险价值中的应用

通过研究核密度估计理论,提出了一种适应估计金融时间序列分布的L ap lace核密度函数.在单变量核密度估计的基础上建立了风险价值(V a lua at R isk,简记为VaR)预测的预测模型.通过对核密度估计变异系数的加权处理建立了两种加权VaR预测模型.最后,通过上证指数收益率对建立的VaR预测模型进行了实证分析,结果显示两种加权方法对上证指数收益率的VaR预测具有较高的效率.     

可编程光电混合二值图象代数处理器

本文采用新的光学方法实现图象代数最基本的变换和操作,建立了基于液晶电视空间光调制器、CCD摄象机和微机的可编程光电混合二值图象代数处理器装置,并给出了其在图象处理、目标识别中的应用实例。     

Irreducibility and Compositeness in q-Deformed Harmonic Oscillator Algebras

A study of the reducibility of the Fock space representation of the q-deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is carried out by using the properties of the Gauss polynomials. When the deformation parameter is a root of unity, an interesting result comes out in the form of a reducibility scheme for the space representation which is based on the classification of the primitive or nonprimitive character of the deformation parameter. An application is carried out for a q-deformed harmonic oscillator Hamiltonian, to which the reducibility scheme is explicitly applied.On leave from     

C-2,3,4,6,7-位含氧取代的9,10-二氢菲类化合物的NMR谱研究

用2D NMR技术研究了获自朝鲜淫羊藿中的2-羟基-3,4,6,7-四甲氧基-9,10-二氢菲的结构,对其碳氢信号进行了全归属,并对文献报道的同类化合物的碳信号归属进行了评述.     

The reaction of the cyclooctatetraenyl dianion and chlorotrimethylsilane; synthesis and decomposition studies of 5,8-bis(trimethylsilyl)cyclooctatriene

On the basis of PMR decoupling experiments and thermal decomposition studies, the reaction of the cyclooctatetraenyl dianion and chlorotrimethylsilane produces 5,8-bis(trimethylsilyl)-l,3,6-cyclooctatriene, in contrast to a previous report which suggested 7,8-bis(trimethylsilyl)-l,3,5-cyclooctatriene. The product is stable at room temperature in vacuo but undergoes decomposition (isomerization) reactions at higher temperatures or in contact with air.     

Complexes of silver(III) with oxoanions

Silver(III) has a half-life at pH 11 of several hundred seconds in aqueous solutions in the presence of 0.1–1.0 M concentrations of certain basic oxoanions (Oxo) (phosphate, carbonate, borate, pyrophosphate, and arsenate). This compares with a lifetime of a few seconds at pH 11 in the absence of these oxoanions. UV-visible spectra and kinetic data for these solutions are interpreted as evidence for the following equilibria in the pH range 9–13.Ag(OH)₄^?1 + H₂O ? Ag(OH)₃H₂O + OH^? (1)Ag(OH)₄^?1 + Oxo ? Ag(OH)₃Oxo + OH^? (2)Ag(OH)₃Oxo + H₂O ? Ag(OH)₂(Oxo)H₂O + OH^? (3) Values of K₃ lie in the range 10^?3 < K₃ <10⁴ M for the systems studied. K₂ is estimated to be ～10² for phosphate and slightly smaller for the other systems. Ag(OH)₄^? undergoes an unusual reaction with pyrophosphate at pH ～ 8 to form a novel silver(II) complex, [Ag(P₂O₇)₂]^6?, for which EPR and electronic absorption spectral parameters are reported.     

Determination of hexacelsian by infrared spectroscopy

Hexacelsian has been determined by infrared spectroscopy with KBr discs and K(4)Fe(CN)(6) as internal standard. A KBr particle size of <40 mum gave better homogenization of the sample-KBr mixture than a particle size in the 40-70 mum range. For determinations of hexacelsian in synthetic samples containing amorphous phase or celsian, calibration curves were constructed. A least-squares fit yielded correlation coefficients of 0.998 and 0.997.