静态傅里叶变换红外光谱仪的公差分析

由于光谱分辨率或光谱信噪比只能作为光谱仪干涉系统的性能评价指标,但不能用于光学系统的公差分析与优化,所以将系统分为三个子系统:前置光学系统、干涉系统与后置光学系统,分别采用不同的评价标准分析系统公差。前置光学系统采用波像差为评价标准,给出波像差与光谱噪声的关系,分析误差对波像差的影响,间接给出各种误差对系统性能的影响。干涉系统直接采用光谱噪声作为评价标准,可直接给出各种误差对系统性能的影响。后置光学系统采用光斑尺寸作为评价标准。通过这种方法,计算出三个子系统的灵敏度矩阵,并且给出了前置光学系统与后置光学系统的公差分配。     

Thermo field dynamics of quantum spin systems

Thermo field dynamics of quantum spin systems is formulated, which gives a new variational principle at finite temperatures. The KMS relation is reformulated as identities among thermal vacuum states. Path integral formulations of the thermal vacuum state are given, which yield a new thermo field Monte Carlo method. Thermo field dynamics of finite-spin systems are studied in detail as simple examples of the present method. Pertubational expansion methods of the thermal state and time-dependent state are also given.     

熵测不准关系与光场的熵压缩

用熵作为光场量子涨落的量度,根据熵测不准关系,建立了熵压缩的概念,具体研究了光场与原子相互作用时的熵压缩,结果显示,熵压缩实现了对光场压缩效应的高灵敏量度。     

极端相对论性正负电子对等离子体中横振荡的色散关系

 由伏拉索夫方程和费米分布函数的相对论性修正形式推导出相对论性正负电子对等离子体中横波的色散方程,对等离子体中的横波进行解析研究,得到长波支和短波支的色散关系。从解析的色散曲线发现了与Mikhailovskii在极端相对论性情况下对于电子-离子等离子体中色散关系研究相类似的结果:在极端相对论性等离子体中横波的解析色散曲线具有不连续性。基于解析色散曲线的不连续性,进而采用数值计算的方法求解了完整的等离子体色散方程,得到其数值解,数值色散曲线可将解析上的长波和短波衔接起来,使其成为一条完整的色散曲线。     

A modified warping operator based on BDRM theory in homogeneous shallow water

In this paper, a modified warping operator for homogeneous shallow water based on the Beam-Displacement Ray-Mode (BDRM) theory is presented. According to the BDRM theory, the contribution of the beam displacement and the time delay to the group velocity can be easily considered in a shallow water waveguide. A more accurate dispersion formula is derived by using the cycle distance formula to calculate the group velocity of normal modes. The derived dispersion formula can be applied to the homogeneous shallow water waveguide. Theoretically, the formula is related to the phase of the reflection coefficient and suitable for various bottom models. Furthermore, based on the derived dispersion relation, the modified warping operator is developed to obtain linear modal structures. For the Pekeris model, the formulae for the phase of the reflection coefficient are derived in this work. By taking account of the effect of the bottom attenuation on the reflection coefficient, the formula for the phase of the reflection coefficient including the bottom attenuation is obtained for the Pekeris model with a lossy bottom. Performance and accuracy of different formulae are evaluated and compared. The numerical simulations indicate that the derived dispersion formulae and the modified warping operator are more accurate.     

圆环旋转粘性液膜射流三维不稳定性研究

利用线性稳定性理论进行了射流液体粘性对圆环旋转液膜射流稳定性影响的研究,推导出了三维扰动下具有固体旋涡型速度分布的圆环旋转粘性液膜射流的色散方程;在此基础上进行了类反对称模式与类对称模式下的圆环旋转粘性液膜射流的三维不稳定性分析。研究结果表明,在类反对称模式下,液体粘性超过一定值后,射流最大扰动增长率随液体粘性的增加而迅速减小;轴对称模态的射流特征频率产生一个突降变化;随液体粘性增加,轴对称模态不稳定波数范围减小,非轴对称模态不稳定波数范围呈现出先减小后增大趋势。在类对称模式下,液体粘性对射流最大扰动增长率的影响主要体现在对非轴对称模态的影响上;液体粘性只在粘性较大时才会对非轴对称模态射流特征频率产生一定影响;液体粘性超过一定值后,轴对称模态与非轴对称模态的不稳定波数范围都会快速下降。     

Ammeline–melamine–formaldehyde resins. Preparation and properties

Ammeline–melamine–formaldehyde resins (AMF Resins) containing 5–100 mol % of ammeline, were synthesized by polymerization of the preformed sodium salt of ammeline, melamine, and formaldehyde in basic medium by three methods. These resins, when cured, constitute a new class of thermosets. The rate of hydroxymethylation of the amino groups of the ammeline salt with formaldehyde was somewhat larger then that of the amino groups on melamine. At higher pH values ammeline insolubility was not a problem. The AMF resin composition was approximately equal to the mol ratio of the components originally charged. Both ammeline and melamine were consumed over the entire reaction period. Thus, it is possible to make approximately uniform random ammeline-melamine-formaldehyde resins (AMF) with any mol ratio of ammeline salt to melamine. By controlling the pH of the solution from which the resins were isolated, the (SINGLE BOND) O⁻ Na⁺/(SINGLE BOND) OH ratio could be varied. Resin melting points varied widely with the mol fraction of ammeline and the (SINGLE BOND) O⁻ Na⁺/(SINGLE BOND) OH ratio. AMF resin solubilities, shelf lives, cloud points, and water tolerance depended upon the method of preparation, pH, and other factors. The sodium salt of ammeline was hydroxymethylated in water more readily than ammeline. More highly methylolated ammeline species were readily formed in solution but upon precipitation only bis-N-hydroxymethylammeline was isolated. © 1996 John Wiley & Sons, Inc.     

卤代烷烃结构与折光指数关系的拓扑化学研究

本文根据分子拓扑学原理,用色图方法探讨了卤代烷烃结构与折光指数的关系,提出一个普遍适用于卤代烷烃折光指数的定量关系式。应用这一定量关系,不仅能够描述卤代烷烃折光指数的变化规律、预测卤代烷烃的折光指数,而且能够合理表征物质结构与性能之间的关系。     

量子等离子体中波的色散关系以及朗道阻尼

利用动理学理论研究量子等离子体中波的色散关系和电子朗道阻尼.从电子的量子流体动力学方程和动理学描述下的光子运动方程出发,研究量子效应对光子朗道阻尼的修正.研究发现量子效应只对纵波模式,即电子等离子体波的色散关系有修正,对横向电磁波的色散关系没有影响.量子效应减小了朗道阻尼,起着朗道增长的作用. 关键词： 量子等离子体 朗道阻尼 电子等离子体波 色散关系     

Backward Wave Oscillators With Coaxial Structures: Dispersion Relation and PIC Simulation

The dispersion relation of a corrugated—wall resonator with an inner coaxial structure has been analyzed as well as the effects of the corrugation period, amplitude and the radius of the coaxial structure on it. Furthermore, we got an output power of 2.1GW at frequency 11.09GHz in a non-uniform slow wave structure by using the PIC simulation software—MAGIC.