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.
文中导出了四种情况下刚度矩阵的简化计算公式，这些公式比对应的高斯积分算法节省计算工作量94—98%。
Simplified formulae for computing the stiffness matrices in four cases are derived, which, compared with corresponding Gauss integration algorithm, can cut 94-98% computing time.
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.
告诫学生使用高斯公式计算曲面积分时一定不能忽视条件，否则可能导致错误。
It reminds the learners to notice the formula premise when using Gauss Formula, to avoid obtain a wrong result.
给出确定利用最大熵原理建立的功能函数概率分布密度的待定参数时由高斯积分表达的离散化公式。
Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory.
电场的数学基础包括：库仑定律的积分形式、高斯定理的积分形式，拉普拉斯公式和泊松公式，散度定理。
Topics for the electric field mathematics include: The integral form of Coulomb's Law, Gauss's Law, the equations of Laplace and Poisson, and the divergence theorem.
牛顿-莱布尼茨公式、高斯公式、格林公式和斯托克斯公式是积分学中非常重要的公式，相互间的联系非常紧密。
Newton-Leibniz's, Green's, Gauss's and Stokes's formula are important for integral theory and there is close relation each other.
特别本文采用的高斯积分离散化公式使在同样的精度下计算量大为减少，解决了四阶矩可靠度分析的费时问题。
Particularly, the discrete formulas used in this paper largely reduce calculating work with the same precision, so that the time-consume …
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.
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.
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