Moire interference spectra were processed by phase unwrapping technique with Fourier transform, so the space phase distribution of Moire deflectograms was extracted. 采用傅里叶变换对莫尔条纹展开技术处理,获得了莫尔条纹的相位分布。
An Elementary Method of the Fourier Transformation of Tempered Distribution on the Space S 空间S上缓增广义函数付氏变换的一个初等方法
Using the Fourier transform due to boundary conditions of simply support, solutions of a single magneto-electro-elastic layer in the form of initial state vector and transfer matrix are obtained in Fourier transform space from the state vector equations. 对状态变量方程进行Fourier变换,得到了状态变量表示的单层压电压磁弹性层合板在Fourier变换空间中的解,导出了多层压电压磁弹性层合板的表达式。
Studying printing moire phenomenon by the basic theory of geometrical optics and Fourier optics, bonding the principle of space visual compounding. 应用几何光学和傅立叶光学分析法,并结合空间视觉混合原理研究印品龟纹现象。
Using Fourier series expansion and Laplace transform, a global dynamic equilibrium equation in the spatial state space form is obtained. 文中利用Fourier级数展开,Laplace变换,推导了变厚度圆锥壳状态空间形式的运动微分方程。
Using the phase factor, we analyze the equivalency between fractional Fourier transform and Fresnel diffraction in the free space. The object is illuminated by sphere light wave. We give out the constraint condition which fractional Fourier transform change into Fresnel diffraction. 用波前相因子判断法,分析了分数傅里叶变换频谱分布与球面波照明物体的自由空间菲涅耳衍射光场分布的等效性,给出了分数傅里叶变换与菲涅耳衍射相互转化的约束条件。
For a coupled nonlinear oscillator system with diffusion and gradient couplings, spatial Fourier transformation is performed and the dynamic equations of various space modes are derived. 对于一类同时存在扩散耦合和梯度耦合的非线性振子系统,通过空间傅里叶变换,得到具有不同波矢的各运动模式的相互独立的运动方程。
This paper provides deep research on the principle and distribution law of moire 'in respect of geometrical optics and Fourier optics, produces a mathematical models of moire' in geometrical space area and frequency area. 首先分别从几何光学的角度和傅立叶光学的角度对莫尔条纹的形成原理及分布规律进行深入的分析,并分别推导出莫尔条纹在空间域和频率域中的数学模型。
With the matched layer boundary conditions being introduced, only the 1-D Fourier transform in space is needed for the PS method, greatly improving the computational efficiency. 此外,在伪谱法中引入匹配层边界条件后,只需对空间做一维傅里叶变换,大大提高了伪谱法的计算效率。
The paper only compared four representative methods, that is Split Step Fourier ( SSF), Fourier Finite Difference ( FFD), Generalized Screen Propagators ( GSP) and Finite Difference in Space Frequency Domain ( XWFD). 本文仅比较了其中四种具有代表性的方法,即分步傅里叶法(SSF)、傅里叶有限差分法(FFD)、广义屏法(GSP)和空间&频率域有限差分法(XWFD)。
This paper demonstrates that in the Galerkin method analysis of waveguide slot's characteristics the matrix element expression, obtained by the Fourier method, of the half space field on the exterior surface of the waveguide slot is equivalent to that obtained by the general integral method. 本文证明了用Galerkin法对波导缝隙特性分析时,Fourier变换法导出的缝隙外部半空间场的矩阵元素公式与一般积分法导出的公式是等同的。
The spectrum plane is tow slits while CCD and its lens acting converse Fourier Transform System. When changing the space of lens which are positive and negative Fourier Transform, CCD moving locating focus is controlled by automatic comparing interval change of tow crests on CCD. CCD和其透镜作为逆付里叶变换系统,输入面为两个狭缝,改变正、负付里叶变换透镜的距离,自动比较CCD上两个波峰的间隔变化来控制CCD移动定焦。
This paper develops a technique of vertical integrations of numerical models of the atmosphere using generalized Fourier expansion in which orthogonal functions are analytic vertical normal modes, that construct a complete Hilbert space, two systems of vertical normal modes are used. 本文提出了一个用大气自由振荡解析的垂直正规模为正交函数系构成一个完备的Hilbert空间,利用广义Fourier展开的概念,在垂直方向进行广义Fourier展开,对大气数值模式进行垂直积分。
Using Fourier pseudospectral method in space direction, and mid-point Euler method in time direction to discrete nonlinear "good" Boussinesq equation, a multi-symplectic Fourier pseudospectral scheme was constructed. 在空间方向用Fourier拟谱方法离散非线性goodBoussinesq方程,然后在时间方向用中点辛格式对半离散方程进行数值求解,得到了非线性goodBoussinesq方程的多辛Fourier拟谱格式。
This paper makes an improvement of the new condition which is used to deal with the convergence judgement of Fourier series in the real valued function space which can contain both the case of O-regularly varying quasi-monotone and the case of rest bounded varication. 在实函数空间中,对用于判定Fourier级数收敛性的一个能同时包含O-正则变化拟单调类和剩余有界变差类的GBV条件作了进一步推广。
Based on the relation between Fresnel diffraction and fractional Fourier transform. optical fractional Fourier transform Formulas are been established and by using this formulas, propagating of spherical light wave in free space is analyzed. 基于菲涅耳衍射与分数傅里叶变换的关系,得出了描述菲涅耳近似下光波传播的光学分数傅里叶变换基本公式,并用分数傅里叶变换相加性证明了球面波的传播过程。
A Fourier pseudo-spectral method which adapts to periodic boundary conditions in space is introduced. 介绍了空间方向满足周期边界条件的函数的Fourier谱方法;
The form of eigenfunctions obtained in the Fourier space are very simple, this result might be used as a convenient start point for further investigation of the unstable optical resonator. 本文所得Fourier空间中的本征函数形式很简单,可为进一步研究不稳定腔提供一个简便的出发点。
Due to collected data is non-uniform and sparse in Fourier space, the presented algorithm processes data in polar grid format, which can make full use of original precise data, so the quality of final image is improved. 由于采集的数据非均匀分布且数据量很少,本文采用极坐标格式对数据进行处理,充分利用了原始精确数据,有效提高了成像质量。
By using Fourier transformation for space variable, Laplace transformation for time variable and convolution theorem for their inverse transformations, a general solution for dynamical problem of infinite beam on an elastic foundation is obtained. 然后对空间变量和时间变量分别进行Fourier变换和Laplace变换,利用逆变换褶积积分,得到了弹性地基无限长梁一般动力问题的解析解。
Time parameter estimation of control system equipment in missile based on measuring data, a recursive Fourier transformation was used for real. time data analysis. A method for real-time parameter estimation based on linear dynamic state space model was developed. 研究导弹控制系统仪器测试时动态模型的实时参数估计,利用递归傅里叶变换作实时数据分析,提出了一种基于线性状态空间模型的实时参数估计方法。
The method of double Fourier transform has been introduced for the analysis of rectangular foundation loaded with vertical steady vibrations on an elastic half space. 采用双重Fourier变换分析位于弹性半空间上,受竖向稳态荷载作用下矩形基础的振动问题。
According to further analysis of the test result of Fourier translation infrared spectroscopy ( FT-IR), the influence of thermal aging condition on space charge of PE was analyzed. 结合红外光谱测量结果,分析了热老化条件及程度对低密度聚乙烯空间电荷的影响规律。
We found analytical reconstruction algorithm was less effective than iteration reconstruction technique when three-dimensional Fourier space sampling was incomplete through static phantom simulation. 通过静态模型仿真实验我们发现在三维傅里叶空间中采样不完全时,不利于使用解析法重建,而迭代重建法重建效果较好。
According to the slots on the outer conductor of LCX, the radiation theory was discussed; the radiation mode and the radiation direction were analyzed. By the method of cylinder fourier transform, the radiated field of LCX with different slots in free space was obtained. 然后根据其外导体上的开槽结构进行辐射原理的探讨,分析了其辐射模式、辐射方向,并运用柱面傅里叶变换等原理得到了不同开槽口情况下漏缆在自由空间中的辐射场。
One widely used technique of docking is the fast Fourier transform ( FFT) method which can globally search the rotational and translational space of ligand quickly. 基于快速傅立叶变换的蛋白-蛋白对接方法是一个广泛应用的对接技术,它能够快速的对复合物中配体相对于受体的旋转和平移空间进行全局搜索。
To solve the reversible propagation between vertical plane and incline plane, several propagation methods have been researched. According to the rotation of wave vector in Fourier space, we have found a reversible transform of spectrum rotation solving the hard problem. 本文首先研究了几种正面到斜面的传输方法,并根据Fourier空间内波矢的旋转变换,综合出了可逆的谱旋转方法,解决了正面到斜面的可逆传输问题。
Proposed an order analysis method in which Discrete Fourier Transform is applied to the torsional vibration signal obtained by equal space angle sampling processing ( EASP). 针对双质量飞轮及传动系统,提出了一种基于等角度采样后进行离散傅立叶变换的扭振阶比分析方法。
The Fast Fourier Transform technique is used to convert the responses of the track/ subgrade from the wavenumber domain into the space domains. The effects of the train speed and the frequency of excitation on the subgrade displacement are investigated using this model. 3. 利用快速傅立叶变换,将波数域内解转换为空间域内的解,通过算例分析了荷载速度与频率对路基表面位移的影响。
Fourier transformation can obtain a better resolution in the frequency domain, but not in the time/ space domain. 傅立叶变换能够在频域内得到非常高的分辨率,但是在时(空)域内却失去了分辨能力。