Non-Noether Conserved Quantity of Poincaré-Chetaev Equations of a Generalized Classical Mechanics

In the present paper the Lie symmetrical non-Noether conserved quantity of the Poincaré-Chetaev equations of a generalized classical mechanics under the general infinitesimal transformations of Lie groups is discussed. First, we establish the determining equations of Lie symmetry of the equations. Second, the Lie symmetrical non-Noether conserved quantity of the equations is deduced. Finally, an example is given to illustrate the application of the results.     

On Direct Transformation Approach to Asymptotical Analytical Solutions of Perturbed Partial Differential Equation

In this article, we will derive an equality, where the Taylor series expansion around ε = 0for any asymptotical analytical solution of the perturbed partial differential equation (PDE) with perturbing parameter ε must be admitted.By making use of the equality, we may obtain a transformation, which directly map the analytical solutions of a given unperturbed PDE to the asymptotical analytical solutions of the corresponding perturbed one. The notion of Lie-B(a)cklund symmetries is introduced in order to obtain more transformations. Hence, we can directly create more transformations in virtue of known Lie-B(a)cklund symmetries and recursion operators of corresponding unperturbed equation. The perturbed Burgers equation and the perturbed Korteweg-de Vries (KdV) equation are used as examples.     

高电荷态离子207Pbq+(24≤q≤36)与Si(110)固体表面作用的电子发射研究

报道了利用兰州重离子加速器国家实验室ECR源引出的高电荷态离子207Pbq+(24≤q≤36)入射到Si(110)表面产生的电子发射的实验测量结果.结果表明,高电荷态离子与固体表面相互作用产生的电子发射产额Y与入射离子的电荷态q、入射角度ψ和入射能量E都有很强的关联.首次发现,电子发射产额Y与入射角度ψ间有接近1/tanψ的关系.理论分析认为,这些过程与基于经典过垒模型的势能电子发射过程密切相关.     

Study of passive Q-switching for flash-lamp-pumped 1.34-μm Nd:GdVO4 laser

The static laser performance of a-growth Nd:GdVO4 crystal (a-cut, 4 × 4 × 25 (mm)) at 1.34μm pumped by flash-lamp is investigated with different transmissions of output couplers. With the output coupler transmission of T = 30%, the static output energy of 148 mJ is obtained when the pump energy is 35.2 J,and the corresponding electric-optical conversion efficiency is 0.42%. The Q-switched output of lasers with the output wavelength ranging from 1.3 to 1.6 μm can be realized by using Co2+ :LaMgAl11O19 (Co:LMA)as saturable absorber. A flash-lamp-pumped, passively Q-switched Nd:GdVO4 laser with Co:LMA as saturable absorber is demonstrated in plano-concave laser cavity. With the cavity length of 16.3 cm and pump energy of 19.8 J, the single-pulse output energy, pulse width, and peak power are obtained to be 4m J, 80 ns, and 5 × 104 W, respectively.     

Least-squares fitting of carrier phase distribution by using a rational function in fringe projection profilometry [corrected

A least-squares fitting technique for the carrier phase component in fringe projection profilometry is presented. The carrier phase distribution for an arbitrary measurement system can be perfectly described with a rational function, whose coefficients can be estimated by least-squares fitting to the measured reference phases, so that the restrictions and limitations in the existing techniques are eliminated.     

基于固体腔扫描法布里-珀罗干涉仪的大气温度绝对探测方法研究

大气温度是描述大气状态的重要基本特征参量之一.目前,基于Rayleigh散射的大气温度探测方法多应用于大气温度的相对探测,即温度反演时需要响应函数和校准程序.本文提出了利用固体腔扫描式法布里-珀罗干涉仪进行大气Rayleigh散射谱型的精细探测方法和残余米散射信号的抑制方法.根据Rayleigh散射谱特点,针对固体腔扫描式法布里-珀罗干涉仪的自由光谱区、固体腔几何长度、腔体介质类型、半高全宽、腔体反射率、扫描间隔等参数进行了优化设计.利用优化参数的固体腔扫描式法布里-珀罗干涉仪获取Rayleigh散射谱上离散点信息,并采用多项式插值方法获得拟合谱型,与根据标准大气模型和S6模型获得的理论谱型进行比对,大气温度探测不确定度小于0.8 K.当信噪比为10时,白天与夜晚的探测距离分别为4.5和7.9 km.该方法可实现大气温度廓线的全天时和高精度绝对探测,并对同类高光谱激光雷达分光系统研究具有借鉴意义,为我国高光谱激光雷达陆基及星载应用提供了一套可行的分光系统解决方案.     

α稳定噪声下一类周期势系统的振动共振

将多个低频微弱信号、高频信号和加性α稳定噪声共同激励的一类周期势系统作为研究模型,以平均信噪比增益(MSNRI)为性能指标,对α稳定噪声环境下周期势系统中的振动共振现象进行了研究,分别探究了α稳定噪声的特征参数α、对称参数β、加性噪声强度放大系数D、高频信号幅值B以及频率?对振动共振输出效应的影响.研究结果表明:1)在不同分布的α稳定噪声环境下,固定频率?(或幅值B),当幅值B(或频率?)逐渐增大时,MSNRI-B(或MSNRI-?)曲线出现多个峰值,即存在多个B区间(或?区间)可诱导振动共振,并且这些区间不会随噪声分布参数α或β的变化而变化;2)当加性噪声强度放大系数D发生变化时,幅值B和频率?的共振区间没有随着D的变化而变化,表明只有高频信号能量向待测低频信号转移,噪声能量并没有向待测低频信号转移.另外当幅值B、频率?固定时,随着D的逐渐增大,依然可以实现微弱信号的检测,表明振动共振可以克服工业现场噪声强度不可调控的缺点.本文研究结果提供了一种新的微弱信号检测方法,在信号处理领域有着潜在的应用价值.     

混沌光场光子统计分布及二阶相干度的分析与测量

利用通信波段双通道单光子探测器,采用Hanbury Brown-Twiss关联测量方案,理论分析并实验测量了光反馈半导体激光器产生的混沌光场的光子统计分布及不同混沌状态光场的二阶相干度.通过对混沌光场二阶相干度g~((2))(τ)的理论分析,得出随着延迟时间和相干时间的变化,其与相干光、热光及单光子态的二阶相干度可明显区分并呈现出不同分布.同时实验上产生了频谱宽度6.7 GHz的混沌光场,测量了不同光子数分布的结果,并用高斯随机分布、泊松分布、玻色-爱因斯坦分布对光子数分布进行理论拟合,发现随着入射平均光子数的增加,光子数分布从玻色-爱因斯坦分布过渡到泊松分布,但整个过程都与高斯随机分布符合较好,且光场的二阶相干度g~((2))(0)由2降至1.通过改变偏置电流(I=1.0Ith-2.0Ith)和反馈强度(0—10%),实验上研究了混沌光场由低频起伏到相干塌陷的过程中不同状态宏观动力学特性与二阶相干度的对应关系.结果表明:混沌光场在此过程中始终呈现出明显的聚束效应,并在频谱宽度最大时达到最强;同时给出了光子计数测量中聚束效应减弱的物理原因.实验表明该系统及方法能很好地揭示不同状态混沌光场的光子统计特性.     

嵌入式三色光变器

为了提升现有导模共振防伪光变器件的性能,设计了一种基于ZnS覆盖膜的一维单周期矩形结构三色光变器.当自然光入射角为45°时,可在0°,58°,90°方位角分别获得相应的蓝、绿、红三色反射峰,对研究结果进行了物理解释.分析并提出了该器件周期、槽深、膜厚以及入射角变化对反射峰的影响规律,对器件的设计、制作和测试有重要指导作用.三色光变器基于简单结构实现方位角调节的自然光三色光变效果,可运用传统激光全息产业的模压和蒸镀工艺进行制作,在光变图像防伪领域有重要应用.