Talbot效应的简单解释

从双缝干涉的简单理论出发,将光栅分解为许多组双缝,利用人们熟知的干涉条纹间距公式导出Talbot成像位置,结论与Talbot效应公式一致。并由实验证实,在(2 m 1)d2/λ(m为正整数)的位置得到的为横向平移d/2的周期像,并非原周期性物的负反差像。     

超短脉冲激光照射下光栅Talbot效应的实验研究

理论上研究了超短脉冲激光照射下光栅的Talbot效应,得到了超短脉冲激光照射下光栅Talbot图像的性质.实验上采用严格的实验方法(频率分辨光学开关装置测量超短脉冲激光、反射式扩束系统对超短脉冲进行扩束)很好地验证了理论分析结果.理论分析和实验结果表明,超短脉冲激光照射下光栅的Talbot图像的对比度会显著下降,而且超短脉冲激光的脉宽越短,Talbot距离越大,Talbot图像的对比度会进一步下降.     

啁啾超短脉冲光波照射下光栅Talbot效应的研究

应用傅里叶频谱分析法，给出了光栅在啁啾超短脉冲光波照射下菲涅耳衍射方程并分析了其Talbot效应. 数值计算表明，在Talbot距离处的衍射光强不仅与照射的超短脉冲光波的宽度有关，而且与脉冲光波的啁啾有关. 根据光栅在Talbot距离处衍射光强的变化，给出了一种检验超短脉冲光波是否含有啁啾的简单方法. 关键词： 光栅 菲涅耳衍射 Talbot效应 啁啾超短脉冲激光     

基于Talbot效应的周期性图像自修复

从惠更斯-菲涅尔原理出发,基于Talbot效应推导了周期性结构被破坏的物体衍射像自修复特性,并进行了理论模拟和实验验证.     

菲涅耳轴上衍射场的计算

给出了一种计算菲涅耳衍射的方法,它既能比较精确地计算轴上的衍射场,也能用来近似地估算轴外的衍射场。     

利用改进型衍射理论对直边衍射效应的解释

利用改进型衍射理论MTPO（Modified Theory of Physics Optics）对直边衍射现象做出了解释．用数值模拟方法得出了直边衍射场强随衍射角度的变化曲线，并与广泛采用的菲涅耳近似衍射方法结果进行比较，发现在很大的角度空间上，二者所得出的衍射场强与精确解吻合较好．但在入射波的几何传播方向上，即边缘上的衍射场强分布，MTPO方法则具有更高的准确度．     

基于分数Talbot效应的棋盘格状阵列照明器北大核心CSCD

基于分数Talbot效应,利用纯位相光栅设计了一种二维棋盘格状阵列照明器。利用菲涅尔衍射理论分析了平面光波照射下纯位相光栅衍射光场,得到位相调制为(0,π/2)的二阶纯位相光栅可以实现压缩比为2的棋盘格状阵列照明。利用二元光学器件制作技术,在光学玻璃基底上制作了位相光栅。在扩束激光光束照射下,在分数Talbot距离处获得了效率为83.2%的棋盘格状明暗相间光斑阵列。实验结果很好地验证了理论分析结论。研究结果对于光互连、光通信、光电混合处理领域中阵列微光束生成和应用都具有较高的理论和实用价值。     

一种设计二元衍射元件的优化方法

基于菲涅耳衍射原理和Gerchberg-Saxton的迭代算法,提出一种孔径分区设计二元衍射元件的优化方法.采用此方法设计的二元衍射元件产生的目标光强于输入激光的模式是不敏感的.具体设计与研制了用于CO₂激光表面(火卒)火处理的二元衍射元件,该衍射元件使CO₂激光束变形成12mm×2mm的矩形光斑.试验结果表明,产生的目标光斑满足设计要求.     

Talbot效应探究实验设计

以Talbot效应实验为例探索研究型实验教学模式,科学设计实验,实施研究型教学方法与手段,引导学生逐步建立Talbot自成像概念,总结自成像规律。并通过课外延展掌握Talbot效应原理,由现象到本质,真正进行探究性学习。教学实践表明,该探究实验提高了学生对实验课程的兴趣,学生的自主性得到充分发挥,科学探究能力得到了训练。     

菲涅耳圆孔衍射的解析处理

推导了傍轴条件下菲涅耳圆孔衍射场的级数解,进而讨论了一些具有重要理论和实验意义的问题。     

高斯光束照射下的近似Talbot自成像效应及其两种新应用

本文讨论了高斯光束照明下的Talbot近似自成像的性质.提出了利用Talbot自成像测量高斯光束发散角的简便方法;也提出在满足一定条件下,可得到自成像的超高倍放大率.     

Direct restoration of light amplitude and phase by the reproduced structure of intensity in the Talbot effect

We suggest a technology for restoration of light-beam amplitude and phase on the basis of the Talbot effect. As a result of numerical investigations we found that the determining role in the restoration of fronts is played by the magnitudes of the spreads of the phase front. When the spreads of the phase do not exceed a certain limit, independent highly accurate restoration of both fronts is possible. Admissible limits of the change in the spreads of each of the fronts are determined numerically. Exceeding of these values leads to a sharp decrease in the accuracy of restoration of phase and amplitude. Baltic State Technical University, 1, 1-ya Krasnoarmeiskaya St., St. Petersburg, 198005, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 2, pp. 660–663, September–October, 1997.     

分析光栅分数塔尔博特效应的一组新方程

对一维开口比为1/M(这里M为大于1的正整数)的短形光栅,建立了一组新 在分数塔尔博特(Talbot)距离上计算其菲涅 法射光场分布的简单方程.在该方程中考虑了光栅结构与分数塔尔博特距离的联系,显然比迭代方程和基于距离的方程更方便地描述分数塔尔博特效应.给出了一种研究光栅分数塔尔博特铲应的新途径.     

Influence of the size of the grating on Talbot effect

The Fresnel theory of the Talbot effect of the grating is reviewed in this paper, and the general formula of the Fresnel diffraction of the grating with finite aperture size is presented. The aperture effect of the grating on the Talbot image is discussed and a number of numerical calculations are performed. The variation rule of the diffraction intensity distribution at the Talbot distance with the aperture size of the grating and the case at different Talbot distances are obtained through the calculations, and the corresponding explanations of these phenomena are given in this paper. We think that these discussions provide the theoretic basis for the practical application of the Talbot effect of the actual grating.     

Experimental study of the Talbot effect under femtosecond laser illumination

Experimental results of the Talbot effect of an amplitude grating under femtosecond laser illumination are reported. Compared with Talbot image under continuous wave (CW) illumination, Talbot images under femtosecond laser illumination are different due to the wide spectral bandwidth and the Talbot images are more distorted at longer Talbot distances. The spectrums and the pulsewidths of femtosecond laser pulses are measured with the frequency-resolved optical gating (FROG) apparatus. Experimental results are in good agreement with the theoretical analysis.     

Talbot effect with Cantor transmittances

We show the Talbot effect for Cantor transmittances, which are obtained as a product superposition of periodic components. The self-images for each periodic component can be superimposed with the self-images or the optical noise corresponding to the remaining components. Due to the integer scaling factor among periodic components, there are also self-images positions for the complete fractal structure.     

The influence of the polarization effect in Talbot self-imaging of high-density gratings

The Talbot self-imaging of high-density gratings with different period at half Talbot distance for different polarization is analyzed with the finite-difference time-domain (FDTD) method. The numerical results indicate that the Talbot self-imaging of high-density gratings is obviously different for different polarization when the period d of the grating between 2λ and 3λ, which is verified through experimental results with the scanning near-field optical microscopy (SNOM) technique. Furthermore, the Fourier spectrum (far field) generated by the gratings is also given with the rigorous coupled-wave method, which is in agreement with the near field.