Diffraction of terahertz waves after passing through a Fresnel lens

The spatiotemporal and spectral characteristics of ultrawide-band terahertz pulses after passing through a Fresnel lens are studied by using the scalar diffraction theory. The simulation shows that the transmitted terahertz waveforms compress with increasing propagation distance, and the multi-frequency focusing phenomenon at different focal points is observed. Additionally, the distribution of terahertz fields in a plane perpendicular to the axis is also discussed, and it is found that the diffraction not only induces focusing on-axis but also inhibits focusing at off-axis positions. Therefore, the Fresnel lens may be a useful alternative approach to being a terahertz filter. Moreover, the terahertz pulses travelling as a basic mode of a Gaussian beam are discussed in detail.     

Optical scaled Fresnel--Fourier transform obtained via intermediate coordinate-- momentum representation

Using the intermediate coordinate--momentum representation |x>_s,r, we introduce a new Hadamard transform. It is found that the operator U corresponding to this transform can be considered as a combination of the Fresnel operator F(r,s) and the Fourier transform operator F by decomposing U. We also find that the matrix element _s,r< x| U|f> just corresponds to an optical scaled Fresnel--Fourier transform.     

Correlation and fractal properties of speckles in the extremely deep Fresnel diffraction region

Based on the Kirchhoff approximation and the theoretical analysis of the random light fields,the speckle intensity distributions in the extremely deep Fresnel diffraction region are simulated.The fractal property of the speckles as well as the relation between the speckle intensity distribution and the corresponding random surface is investigated.We design a microscope system to detect experimentally the speckles in the extremely deep Fresnel diffraction region,and the experimental results prove the conclusions drawn from our simulations.     

衍射花样及其近似描述

导出了描述夫琅和费衍射的正确公式,讨论了菲涅耳衍射和夫琅和费衍射的物理意义、两者间的逻辑关系,以及倾斜因子ｋ（θ）对衍射花样的影响。指出一些傅里叶光学文献中的“菲涅耳衍射公式”和“夫琅和费衍射公式”均只能在观察距离ｚ不太小也不太大的近轴范围内近似成立,ｚ越大成立的角范围越小,当ｚ趋向于∞时,成立的角范围趋向于零。     

高功率激光自由空间传输调制特性的数值研究

利用快速双克尔变换算法研究了高功率激光在自由空间传输过程中形成低频调制的规律,给出了衍射调制深度与光速宽度及传输距离等参数之间的变化关系。对选择传输参数提供了参考依据。     

光学系统像点附近的光强空间分布

根据准确的菲涅耳衍射振幅和光强解析表达式推导出光学系统像点队近的光强空间分布。与采用洛梅尔函数计算不同,文中使用常用的贝塞尔函数准确地计算了光强空间分布,从而使计算更容易、结果更直观。并对菲涅耳数这一物理概念进行了论述。     

Quantum-mathematical model of edge and peak point in Fresnel diffraction through a slit

The intensity distribution in Fresnel diffraction through a slit includes numerous small fluctuations referred to as ripples. These ripples make the modelling of the intensity distribution complicated. In this study, we examine the characteristics of the Fresnel diffraction intensity distribution to deduce the rule for the peak position and then propose two types of quantum-mathematical models to obtain the distance between the edge and the peak point. The analysis and simulation indicate that the error in the models is below 0.50 μm. The models can also be used to detect the edges of a diffraction object, and we conduct several experiments to measure the slit width. The experimental results reveal that the repetition accuracy of the method can reach 0.23 μm.     

离轴非旋转对称叠加方形光斑均匀聚光菲涅尔透镜

针对传统点聚焦菲涅尔透镜聚光分布均匀性差以及聚焦光斑形状与太阳能电池片不匹配的缺点,采用离轴非旋转对称叠加方法进行了方形光斑均匀聚光菲涅尔透镜设计,透镜采用方形非旋转对称结构,设计过程中通过在透镜中心截取一方形小孔来降低聚焦光斑中心辐照度峰值,改善接收面聚光分布,以提高聚光均匀性.采用光线追迹法模拟并分析了小孔边长、离轴偏移量、离轴聚焦距等参量对聚光性能的影响,结果表明:采用该方法设计的透镜聚焦光斑形状为方形,聚光均匀度高达90%.     

二组分食用混合油的线性混合模型研究与应用

基于二组分混和食用油的吸收系数是各自组分吸收系数按照掺杂比例的线性组合的假设以及朗伯-比尔吸收机理,提出并推导了二组分食用混合油的线性混合数学模型。该数学模型可根据相同厚度的两种原料油和其二组分混合油对相同光源的吸收光强变化计算出混合油的组分比例。根据误差理论,利用全微分公式分析了组分比例计算值的误差,表明通过选择使两种原料油的透射光强和吸光度差值的乘积较大的波长位置,可以优选出检测波长。搭建了可见-近红外光谱检测系统,利用花生油掺杂玉米油、花生油掺杂大豆油和玉米油掺杂大豆油三种混合油对模型进行了验证。结果表明,该模型对掺杂10%以上的混合油的成分比例计算值和实际值的相对误差在5%以内,相关系数分别达到0.999 4,0.999 7和0.999 3,标准误差分别为0.006 9,0.005 1和0.007 6,并证实本研究的波长选取方法是合理的。此外,对3种按同样比例组合的、未混合的分立油样本进行了检测,计算组合比的相对误差也可控制在10%以内,同时揭示入射光源的平行度和待测装置的垂直度对检测精度有一定影响。试验证明,不同于传统的光谱结合化学计量学的检测方法,本方法可以仅通过检测原料油和混合油在选定波长上的吸收光强即可准确计算得到掺杂比例。     

基于菲涅耳变换的图像加密算法

针对相位截断加密算法无法抵御信息泄露问题,文章提出了一种基于相位截断菲涅耳变换与随机振幅掩模的加密算法,以抵御信息泄露问题;算法首先将原彩色图像分为3个独立的颜色通道,在对其进行菲涅耳变换后加入随机振幅掩模通道,将4个通道分别进行菲涅耳衍射截断处理;算法通过级联处理不仅提高了秘钥与密文间的关联性,还消除了信息泄露的风险;通过仿真试验与结果分析可知,本算法不仅在波长与自由空间传播错误距离参数、密文噪声、遮挡污染、密文泄露以及不同攻击等情况下有较好的鲁棒性,还解决了信息泄露问题。