A Compact Law of the Iterated Logarithm for Random Vectors in the Generalized Domain of Attraction of the Multivariate Gaussian Law

For a sequence of independent identically distributed random vectors, we prove that the limiting cluster set of the appropriately operator normed partial sums is, with probability one, the closed unit euclidean ball. The result is proved under the hypotheses that the law of the random vectors belongs to the Generalized Domain of Attraction of the multivariate Gaussian law and satisfy a mild integrability condition. The two conditions together are still weaker than finite second normed moment and are necessary and sufficient.     

Weyl Ordering Operator Formula Derived by IWOP Technique and ItsApplication for Fresnel Operator

Based on the technique of integration within an ordered product ofoperators, the Weyl ordering operator formula is derived and the Fresneloperators' Weyl ordering is also obtained, which together with the Weyltransformation can immediately lead to Fresnel transformation kernel inclassical optics.     

Cascaded Fresnel holographic image encryption scheme based on a constrained optimization algorithm and Henon map

We propose an image encryption scheme using chaotic phase masks and cascaded Fresnel transform holography based on a constrained optimization algorithm. In the proposed encryption scheme, the chaotic phase masks are generated by Henon map, and the initial conditions and parameters of Henon map serve as the main secret keys during the encryption and decryption process. With the help of multiple chaotic phase masks, the original image can be encrypted into the form of a hologram. The constrained optimization algorithm makes it possible to retrieve the original image from only single frame hologram. The use of chaotic phase masks makes the key management and transmission become very convenient. In addition, the geometric parameters of optical system serve as the additional keys, which can improve the security level of the proposed scheme. Comprehensive security analysis performed on the proposed encryption scheme demonstrates that the scheme has high resistance against various potential attacks. Moreover, the proposed encryption scheme can be used to encrypt video information. And simulations performed on a video in AVI format have also verified the feasibility of the scheme for video encryption.     

基于锂离子电池老化行为的析锂检测

析锂会极大地影响锂离子电池的寿命和安全性,锂离子电池的析锂检测十分必要. 本文根据锂离子电池的两种主要老化机理-SEI(Solid Electrolyte Interface)膜生长和析锂对老化行为上的不同影响,基于多应力作用下的锂离子电池循环老化实验结果,提出了两种检测析锂的方法,分别为内阻-容量轨迹法和阿伦尼乌斯准则法. 两种方法的判定结果具有良好的一致性. 之后,利用微分电压法区分了电池容量损失的不同来源,并进行了电池负极片EDS（Energy Dispersive Spectrometer）能谱分析,对析锂检测方法进行了验证. 本文方法只需利用电池老化过程中可测的容量和内阻等电学量,判断方法简便,可实现非解体检测;同时,利用了单次循环的微量析锂在时间尺度上的累积,对析锂工况的辨识具有较高的敏感性. 本文方法对锂离子电池的寿命加速测试、延寿使用、安全管理等具有重要意义.     

Quantum mechanical version of classical Liouville theorem

In terms of the coherent state evolution in phase space, we present a quantum mechanical version of the classical Liouville theorem. The evolution of coherent state from |z〉to |sz-rz^*〉angle corresponds to the motion from a point z(q,p) to another point sz-rz^* with |s|²-|r|²=1. The evolution is governed by the so-called Fresnel operator U(s,r) recently proposed in quantum optics theory, which classically corresponds to the matrix optics law and the optical Fresnel transformation and obeys the group product rules. In another word, we can recapitulate the Liouville theorem in the context of quantum mechanics by virtue of coherent state evolution in phase space, which seems to be a combination of quantum statistics and quantum optics.     

New ISO Guide 34 – How is the change affecting practice in the Czech Republic?

 The positive contribution of the ISO Guide 34 review is the idea of increasing responsibility of reference materials producers. The change of the main intention introduces some problems related to national legislation. There is a very important discussion going on about these problems among metrological bodies, accreditation institutes, reference material producers and laboratories.     

正多边形和狭缝的等效菲涅耳数

以正边形的内切圆半径和狭缝的半宽度为特性尺度,给出了匀幅平面波入射时正多边形和狭缝的等效菲涅耳数。     

来自分形粗糙面球面波近场散射特性

本文研究粗糙面球面波近场散射效应,分析计算了理想条件下由于路径相关引起的干涉效应;用带限分形函数来模拟二维粗糙表面,从动态和静态角度,揭示在许多不同条件下粗糙面单站近场散射的物理机理。     

菲涅耳直边衍射的边界波处理

本文运用边界波理论对菲涅耳边衍射问题进行了研究。分别对Ｅ偏振和Ｈ偏振情况下应用的场分布用边界波理论进行了分析和计算,并将它们与严格的电磁理论作了比较。结果表明,边界波处理方法中的基尔霍夫和瑞利－索末菲理论,分别与直边衍射的严格电磁理论解中的电场分布和磁场分布符合较好,前两者在远场时一致,而在近场衍射存在差别。同时也表明,边界波处理方法具有物理图像清晰,计算简洁的特点。     

菲涅耳衍射系统的分数级传递函数

基于分数傅里叶变换与菲涅耳衍射的等效性和线性系统理论,给出了菲涅耳衍射系统在分数傅里叶变换下光学传递函数的数学表达式,分析了其基本特征,阐述了其物理意义,证明了常规傅里叶变换下的光学传递函数为分数传递函数的特例,对光学分数傅里叶变换在光学测量、信息处理和像质评价等的应用具有实用价值。计算机模拟文验验证了结论的正确与可行。