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The computing precision with this method is high, which is higher than 10〓 in whole complex plane and is higher than 10〓 in great majority of the complex plane. In addition, the symmetry relations of the two functions and complex zeros of Fresnel integral are studied also.

此外,本章还研究了菲耳积分和过度函数在复平面上的对称性、零点、变化规律等,绘出了复平面上的三维立体图和二维等值线图,使人们对这两个特殊函数在复平面上有一个清晰的直观的认识。

In this paper, we have been solved Fresnel integral equations by the numerical iterative method in virtual confocal unstable cavity with the strip mirrors of cylindrical surfaces.

用数值迭代方法求解了柱面条状虚共焦非稳腔的积分方程组。对相同及不同的菲耳数NF和不同的放大率m等情况进行了数值计算。

Based on the Fresnel diffraction integral, the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed.

摘要基于菲耳衍射积分公式,推导出了会聚球面波通过环形光阑后场分布的解析公式,并讨论了一些特殊情况。

The spatial propagation properties of output annular laser beam from an unstable resonator are studied based on Fresnel diffraction integral.

本文从菲耳衍射积分公式出发研究了激光器非稳腔输出环状光束在空间的传输规律。

Based on the Fresnel diffraction integral and the complex Gaussian expansion for the hard-edge aperture function, a simple and analytical expression for calculating the diffraction field distribution of an apertured lens is presented.

基于菲尔衍射积分和将硬边孔径函数展开成有限项复高斯级数方法推导出了计算透镜衍射光强分布的解析表达式。

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。

When an image digital holographic microscopy layout is employed, the Fresnel integral cannot be used in separating the reconstructed image from its conjugate image and background.

在像面数字全息中,用菲尔衍射积分进行复振幅再现的方法已不适用,将相移同轴技术与数字全息显微术结合,研究了以平行光为参考光记录相移同轴像面显微数字全息图及其幅度和相位再现方法。

However, combining image plane DHM with the phase-shifting in-line technique, the complex amplitude of reconstructed image can be obtained without using Fresnel integral, moreover the approximate error of reconstruction calculation is easily eliminated and the signal-to-noise ratio of reconstructed image is significantly improved.

理论分析和实验证明,用这种方法无需使用菲尔积分即可直接获得再现像的复振幅,提高了再现像的信噪比,避免了再现中的近似误差。

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。

Chapter 4 The Computation of Complex Argument Fresnel Integral and Complex Ar gument Transition Function and Their Properties The computation of complex argument Fresnel integral and complex argument transition function is a difficult problem meeted in electromagnetic scattering of lossy dielectric wedges.

第四章 复宗量Fresnel积分和复宗量过渡函数的计算及其性质复宗量菲耳积分的计算和复宗量过渡函数的计算是有耗介质劈电磁散射中遇到的一个难题,目前无表可查,对其性质也知之不详。

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