用量子理论推导的平面孔衍射积分，和现有的衍射理论完全一致。
A general diffraction formula for plane apertures is derived by quantum theory and the results are in keeping with the present diffraction theories that attained by other methods.
从光线矩阵元表达的衍射积分出发，导出了复杂光学系统的光学传递函数。
Starting from the diffraction integration in terms of ray matrix elements, the optical transfer functions have been derived for complicated optical system.
对复杂光学系统证明了光线矩阵元表达的衍射积分是旁轴波动方程的准确解。
It is proved in a complicated optical system that the diffraction integration in terms of ray matrix element is the right solution 'for paraxial equation.
采用光波的衍射积分理论，对具有波纹调制激光束的准聚焦特性进行了理论分析。
Based on the diffraction integral theory, the quasi-focused characteristics of a laser beam with waviness modulation have been studied theoretically and numerically in the paper.
利用惠更斯菲涅耳衍射积分理论推导了涡旋光束经过轴棱锥聚焦后所获得的聚焦光强分布。
The focusing intensity distribution of vortex beams with axicon by using Huygens-Fresnel diffractive integral is investigated.
使用基尔霍夫衍射积分公式和菲涅耳衍射积分公式对高斯光束通过方孔光阑的衍射进行了研究。
The diffraction of Gaussian beams at an square aperture is studied based on the Kirchhoff and Fresnel diffraction integrals.
本文采用将高斯波束法，射线追迹和矢量衍射积分相结合的方法来分析单波束的点聚焦透镜天线。
We adopted Gaussian beam, ray tracing and vector diffraction integration together to analyze single beam spot-focusing lens antenna.
用广义惠更斯菲涅耳衍射积分对扭曲高斯谢尔模型光束通过有限尺寸透镜的聚焦特性作了详细研究。
In this paper, using the generalized HuygensFresnel diffraction integral, the focusing properties of twisted GaussianSchell model beams through an aperture lens have been studied in detail.
用由广义惠更斯菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔·高斯光束及其传输特性。
The elegant Laguerre-Gaussian (L-G) beams and their propagation properties are studied in detail using the propagation equation derived from the generalized Huygens-Fresnel diffraction integral.
从广义惠更斯-菲涅耳衍射积分出发，导出了洛伦兹光束通过一阶轴对称光学系统传输变换的解析公式。
Based on the generalized Huygens-Fresnel diffraction integral, the analytic propagation expressions for Lorentz beams passing through first-order axisymmetric optical system are derived.
从衍射积分公式出发，利用贝塞尔函数，求得夫琅禾费环孔衍射积分的精确解，并对衍射图样进行了分析。
Diffracton integral equations and Bessel Functions are used to get perfect solution of Fraunhofer ring aperture diffraction, and the diffraction pattern is analysed.
基于瑞利衍射积分公式，推导出非傍轴离轴高斯光束相干合成和非相干合成在自由空间中传输的解析公式。
Starting from the Collins formula, the properties of the off-axis Gaussian beam (OAGB) propagating through a paraxial ABCD optical system with an aperture are studied in detail.
本文从衍射积分公式出发，利用贝塞尔函数，求得夫琅禾费环孔衍射积分的精确解，并对衍射图样进行分析讨论。
In this paper, diffraction integral equations and Bessel Functions are used to getting perfect solution of Fraunhofer ring aperture diffraction, and the diffraction pattern is analysed.
利用惠更斯-菲涅尔衍射积分公式导出了部分相干平顶高斯光束（PCFGB）通过ABCD光学系统的传输公式。
The propagation formula of the cross-spectral density of partially coherent flattened Gaussian Beam(PCFGB) through ABCD optical system was derived using Huygens-Fresnel diffraction integral formula.
为了解决非均匀介质中的光传输问题，利用光学相位共轭波的时间反演特性，实现了对克斯林衍射积分公式的改进。
In order to study laser propagation in inhomogeneous medium, Collins formula was improved by using time inversion characteristic of optic phase conjugation wave.
采用矩阵分解的方法，从柯林斯衍射积分公式出发，对高斯光束通过失调空间滤波器的传输特性进行了分析，得到了相应的解析式。
Based on the method of matrix decomposition, and the Collins diffraction integral formulae, the propagation characteristics of a Gaussian beams passing through misaligned spatial filter are studied.
利用菲涅耳基尔霍夫衍射积分和非线性近轴波动方程，在远场近似及光学薄近似条件下，得出了位相调制产生“热像”出现的位置及强度满足的解析关系。
According to the Fresnel-Kirchhoff diffraction integral and nonlinear paraxial wave equation, we derive the functional relationship of the intensity of hot image and its location.
分别用矢量图解法和积分法导出了菲涅耳圆孔衍射中心场点的光强的解析表示，方便了此类问题的分析。
An analytic expression for the intensity of the central point in Fresnel's circular aperture diffraction was derived using the methods of vector map and integration respectively.
通过计算两个简单的积分值，可近似表示菲涅耳单缝衍射的相对光强。
The relative intensity of Fresnel single-silt diffraction can be expressed approximately by means of two simpler integrals.
在解二维电磁波衍射问题时，经常导出一对孪生积分方程。
A pair of dual integral equations can be obtained often by solving electromagnetic wave diffraction problems in two dimensional case.
在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。
Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.
它直接从位相物体振幅透过率的一般公式出发，运用傅里叶积分，求得二进制位相光栅各级衍射光强度的通式。
The series density formulae of the binary phase grating are obtained from the general complex amplitude transmittance formulae through Fourier integral.
利用费曼路径积分理论，对夫琅和费圆孔衍射的光子衍射态进行定量分析，阐明圆孔衍射的量子本征。
Feynman's path integral is used to analyze quantitatively the Fraunhofer circle aperture diffraction. The quantum eigenstate of circle aperture diffraction is elaborated.
提出一个利用多层膜小角X射线衍射谱衍射峰积分强度计算多层膜界面粗糙度的公式。
A simple formula for calculating the interfacial roughness of multilayer by using the small Angle X ray diffraction curves of the samples is given.
用原子力显微镜（AFM），扫描电子显微镜（SEM），X 射线粉末衍射仪（XRD），BET 比表面积分析仪对其结构进行了表征。
The structures of RDX/RF aerogel were characterized by atomic force microscopy(AFM), scanning electron microscopy(SEM), X-ray powder diffraction(XRD), and BET method.
用原子力显微镜（AFM），扫描电子显微镜（SEM），X 射线粉末衍射仪（XRD），BET 比表面积分析仪对其结构进行了表征。
The structures of RDX/RF aerogel were characterized by atomic force microscopy(AFM), scanning electron microscopy(SEM), X-ray powder diffraction(XRD), and BET method.
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