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。     

基于菲涅尔双面镜的全反射成像光谱技术研究

针对时间调制型成像光谱仪需要高精度动镜驱动系统,无法承担高速光谱测量的弱点,研制了一种新型的基于菲涅耳双面镜的全反射式成像光谱仪。由于采用了全反射式的结构设计,同一套系统可以工作在可见光和红外不的同波段。通过试验结果分析了系统的基本性能。     

激光波带片衍射性质的数值模拟

根据亥姆霍兹-基尔霍夫积分,对菲涅尔波带片的高斯激光场在轴向、径向强度分布进行了理论分析,研究了高斯激光束照射下波带片的衍射场规律.数值计算表明：沿轴向光场呈系列焦点,各焦点附近光强分布有振荡现象,随焦点级次的增大光强迅速增大;有焦移现象,焦移量随焦点级次的增大而增大;焦深随焦点级次的升高按平方反比律减小,随波带数减小或焦距增大而增大.在焦平面上,光斑大小与最外环宽度成正比,与焦点级次成反比.     

连续相位变化毫米波衍射天线

基于菲涅尔原理及卡塞格伦天线设计方法,设计了一种口面直径为200 mm的卡赛格伦菲涅耳相位修正平面天线。天线采用连续相位修正方式,由一组同心菲涅耳相位修正圆环组成,与传统卡赛格伦抛物面天线相比,该天线具有平面化结构,大大减小了天线自身重量,天线辐射性能较离散相位衍射天线有大幅度提高。在95 GHz频率下,采用物理光学法进行仿真计算,并采用近场扫描系统进行了天线性能测试,天线3 dB波束宽度分别为0.95及1.05,天线实测增益为44.1 dB,天线口面效率为65%。     

Theoretical calculations of a square multilayer Bragg–Fresnel lens by quantum theory

A theoretical method based on the quantum scattering theory is presented to evaluate the performances of a two-dimensional (2-D) focusing square multilayer Bragg–Fresnel lens. The numerical application results of the square multilayer Bragg–Fresnel lens working at 0.7 nm wavelength (W/Si 25 periods with a double layer thickness of 5.38 nm, the size of the diffraction pattern is about 291×291 μm, the size of the center square in the diffraction pattern is 21.4×21.4 μm, and the size of the smallest square in the diffraction pattern is 0.39×0.39 μm) are given. Our theoretical results are compared with the experimental results of the linear Bragg–Fresnel lens reported by other researchers; an analysis and a discussion are carried out regarding the advantages of an optical system based on the 2-D focusing square multilayer Bragg–Fresnel lens, in contrast to a Kirkpatrick–Baez optical system on the basis of a two-linear Bragg–Fresnel lens.