Fourier Integral

Study the Fourier Integral Algorithm

傅立叶积分算法研究

The series density formulae of the binary phase grating are obtained from the general complex amplitude transmittance formulae through Fourier integral .

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 initial value problem is treated by using the Fourier integral transformation .

利用Fourier积分变换求解了扭转波的初值问题。

Calculation of surface movement caused by excavations with Fourier integral transformation

使用富氏积分变换计算开挖引起的地表移动

A new proof method of Fourier integral theorem

付里叶积分定理的一种证法

Solving Plane problems of Anisotropic Body with Center Through Crack by Fourier Integral Transform

用Fourier积分变换解各向异性体中心穿透裂纹平面问题

By using MATLAB symbolic operation , the Fourier integral transform and its applications are discussed .

利用MATLAB符号运算功能讨论Fourier积分变换及积分变换的应用。

Approximations theorems by G means of double Fourier integral

二重Fourier积分G平均的逼近定理

Solution of Crack Problem of an Elastic Plane under Antisymmetrical Load with Fourier Integral Transformation Method

平面弹性中反对称载荷时裂纹问题的Fourier积分变换解法

On Riesz spherical means of conjugate multiple Fourier integral ( I )

关于多重共轭FOURIER积分的RIESZ球平均（Ⅰ）

Application of Fourier Integral Operator in Hyperbolic System The differential equations are solved by means of Fourier integral transformation .

富利叶积分算子在双曲方程组中的应用通过富氏积分变换、引进算子，并利用算子的周期性，得到系统的频率方程。

Analytical solutions for dynamic responses , including displacement , velocity and acceleration , were developed by Fourier integral transform .

首先采用积分变换法推导了移动线源非均布荷载作用下粘弹性半空间体动力响应的二维积分解析解，包括位移、速度和加速度。

By use of the Fourier Integral Transform , the initial function solution of single transversely isotropic elastic layers is worked out .

本文应用Fourier积分变换，求出单层横观各向同性弹性地基位移和应力的初始函数解答。

Boundedness of Fourier Integral Operator on Herz Spaces

Fourier积分算子在Herz型空间上的有界性

It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity .

证明了变量替换映射是一个具广义亚椭园性的适的富里叶积分算子。

In his previous researches Sneddon adopted Fourier integral transformation were used to solve crack problem and only those under symmetrical load were dealt with .

在用Fourier积分变换解决裂纹问题的著作中，都讨论对称载荷情况下的裂纹问题。

First we introduced a class of new special function , then Using it we constructed Fourier integral operator and by special means followed the parametices of Cauchy problem .

首先引入一类新的特殊函数，继之利用它构造了Fourier积分算子，并运用特殊手段导出Cauchy问题的拟基本解。

Thus the calculation of multi-strata ground pressure and rock movement is summarized into an operation of a small matrix and into a calculation of double Fourier integral inverse transformation .

从而将多层层体矿压与岩层移动的计算归结为小体积矩阵的运算和二重Fourier积分逆变换的数值计算问题。

The controlling equations expressed by the displacement of elastic and viscoelastic materials were deduced separately after using Laplace and Fourier integral transforms of the basic ( equations ) .

利用积分变换方法、Fourier和Laplace变换，分别推导出了弹性和粘弹性问题的控制方程组；

These results of this paper are in agreement with the results of which are obtained by means of fourier integral transformation , and the results of which are derived in terms of Green 's function .

用此定理解标量达兰贝尔方程科西问题所得结果，与用积分变换法和用格林函数法所得的结果一致。

The approach of normal component of the electrical field on the periodic notched structure being expanded into the Fourier integral has been used and the functional equations are set up according to the boundary condition .

本文采用的数学方法是将周期开槽结构表面上电场法向分量展成Fourier积分，根据边界条件建立函数方程。

This paper is started with small perturbation technique of distorted Bern 's approximation , presented the principle of using generalized Radon transform ( GRT ) and Fourier integral operator to inverse discontinuities in media .

本文从畸变的Born近似的微扰技术出发，给出了利用广义Radon变换和Fourier积分算子的理论反演介质间断性的原理。

And then by coordinate transformation method and two kinds of integral transformations : Fourier Integral Transformation and Hankel Integral Transformation ( suitable for Bessel function ), the differential equation is solved and the analytic solution is obtained .

通过坐标变换和两个积分变换：Fourier变换和适用于圆柱函数（Bessel函数）的Hankel变换，求出了此条件下扩散方程的解析解。

The approach to the solution of the Fourier integral in closed form is adopted for pulse propagation through rain medium . And pulse distortion , in terms of percentage changing in pulse width , is studied in this paper .

在此基础上应用傅立叶时域积分近似解的方法研究了毫米波段脉冲波通过雨介质时，脉冲畸变随频率、降雨率、传播距离及脉冲宽度变化的关系。

By means of Fourier integral transformation of generalized function , the fundamental solution for the bending problem of plates on two-parameter foundation is derived in this paper , and the fundamental solution is expanded into a uniformly convergent series .

本文应用广义函数的Fourrier积分变换导出了双参数地基上板弯曲问题的基本解，并将基本解展成一致收敛的级数形式。

In this paper three solving formulae of mixed problems about heat conduction equations on ray are obtained under . The third , second and first boundary conditions by using superposition principle , extension method , Homogenization principle and Fourier integral transformation as means .

本文以迭加原理、开拓法、齐次化原理及傅里叶积分变换为工具求得了半直线上第三类、第二类及第一类边界条件下热传导方程混合问题的三个求解公式。

Hypoelliptic operators and pseudo-local property are definited for operators mapping from a distribution space into another distribution space , their elementary properties are analysed and a sufficient condition that a Fourier integral operator is hypoelliptic is given .

对映一个广函空间到另一个广函空间的算子定义了亚椭园性和拟局部性，分析了它们的基本性质，并提出富里叶积分算子具有亚椭园性的一个充分条件。

Sing Fourier Integral and δ - function an analysis of unsteady heat conduction for semi-infinite body is given in detail , assuming that the coefficient of convective heat transfer on the boundary surface between solid body and fluid is definite or infinite .

在物体壁面与流体间的换热系数为有限值或无限大情况下，用傅里叶积分和δ函数对半无限大物体非稳态导热作了全面分析。

Under the guidance of Fourier integral theory , the time-distance surface of synthetic seismic data at a sin - gle diffracting point is analysed , and simple geological models of a single diffracting point and dipping reflector are calculated . The algorithm has been proved correct .

文中依据Fourier积分理论分析了单个绕射点的合成记录的时距曲面，并计算了单个绕射点和倾斜反射层的简单地质模型，验证了此算法的正确性。

A Fast Algorithm for Calculating the Fractional Fourier Transform Diffraction Integral

求解分数傅里叶变换衍射积分的一种快速算法