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The generalized Huygens–Fresnel diffraction integral for misaligned asymmetric first-order optical systems is derived by using the canonical operator method, which enables us to study propagation properties of anisotropic Gaussian Schell-model beams through misaligned asymmetric first-order optical systems.

广义惠更斯-菲涅尔衍射积分为歪斜的非对称一阶光学系统中,推导出用典型算子方法,使我们可以研究繁殖性能的各向异性高斯夏伟模型光束通过失调非对称一阶光学系统。

Because the transform matrix calculated with the Fresnel integral was non-unitary,YG algorithm was used to design the DOE realizing beam shaping in the fractional Fourier transform domain in this paper.

鉴于该变换矩阵非幺正,本文利用YG算法进行了光束整形器件的设计。

The Propagating property of flat topped multi-Gaussian laser beams passing through ABCD optical systems is discussed on the basis of generalized Huygens Fresnel Diffraction integral formula.

利用广义惠更斯-菲涅耳衍射积分公式,研究了平顶多高斯光束通过ABCD光学系统的传输特性,推导出光强分布的解析式。

Staring from Fresnel diffraction integral,we deduced the optical intensity distribution in the Fresnel zone of the diffraction field of the annular-aperture lens axicon.

从菲涅耳衍射积分公式出发,推导多色高斯光束被球差透镜衍射后光强分布的解析公式,进行数值模拟和物理分析。

Main contents of the thesis include point and edge extraction based on least-squares template matching; space circle template matching and reconstruction; outlier detection and elimination with fundamental matrix and trifocal tensor; improvement of Homography-based calibration technique, 2D-DLT and bundle adjustment based non-metric camera calibration technique with planar-scenes, point-line hybrid photogrammetry and visual inspection.

本文的主要研究内容包括影像格网点与直线段的自动最小二乘模板匹配;基于物方直接解的空间圆匹配与重建;利用基本矩阵和三视张量进行观测值粗差的剔除;同形矩阵摄像机标定算法的改进;基于二维 DLT 和光束法平差的非量测数字摄像机标定;点、线混合摄影测量模型与视觉检测精度分析等。

Based on the second-order moment of the power density, the far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams is derived and expressed in a sum of the series of the Gamma function.

基于功率密度的二阶矩方法,推导出了非傍轴旋转对称拉盖尔-高斯光束远场发散角的解析公式,并表示为伽玛函数的幂级数求和形式。

A theoretical model of CO2 laser cutting non-metal materials is built up based on energy balance equation in view of gauss beam distribution.

基于能量平衡方程,考虑高斯光束分布,建立了CO2激光切割高吸收率非金属材料的解析模型。

The energy distribution of the focused laser spot has Gaussian profile, and if the exposure dose threshold of the photoresist is less than and far away from the peak of that Gaussian curve, the linewidth will be less affected by the variation of exposure dose or exposure dose threshold, and so, will improve the linewidth stability.

准直光束经物镜会聚后光斑的能量呈近似高斯分布,当胶层的曝光量阈值远离高斯型曝光量曲线的头部时,可以弱化线宽对实际曝光量或胶层曝光量阈值等变化的敏感度,从而提高线宽的稳定度。

In this paper,the ray-tracing method is used to analyze the Gaussian beam lens trannspositional process.

使用光线追迹法分析高斯光束的透镜变换过程。

Based on the method that a rectangular function can be expanded into a sum of complex Gaussian functions with finite numbers, the propagation characteristics of a Gaussian beam passing through apertured spatial filter systems are analysed and the corresponding analytical formulae are obtained respectively.

根据矩形函数可以展开为有限复高斯函数之和的方法,从柯林斯衍射积分公式出发,对高斯光束通过受限空间滤波器传输特性进行分析,得到了相应的近似解析式。利用Matlab对其解析式进行数值模拟,得出一组直观的结果。

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