查询词典 Bessel

Then the scattering waves are represented bythe series of Bessel functions expansions.

它是用一个半径足够大的大圆弧拟合半空间表面，再将所有的散射波展开成Fourier-Bessel级数的形式。

The results about the magnetic vector potential of current-carrying ring and the electric potential of uniform charged ring which are expressed by Bessel functions are further calculated and analyzed.

用Bessel函数积分对圆环电流磁矢势及均匀带电圆环电势作进一步的计算分析，引申出磁感应强度及电场强度新的级数表达式，分析讨论了所得结果。

The spontaneous emission spectrum of a novel wiggler with its magnetostatic-fiele indepen dent of the axialcoordinate is calculated by means of generalized Bessel functions,and the re sult is analysed.

利用广义Bessel函数计算出了ShlomoPinhas提出的磁场与纵向坐标无关的摆动器的自发辐射谱，并对结果进行了分析。

This is a vast collection of computational algorithms ranging from elementary functions like sum, sine, cosine, and complex arithmetic, to more sophisticated functions like matrix inverse, matrix eigenvalues, Bessel functions, and fast Fourier transforms.

MATLAB 的工具箱函数库收集了大量的数学函数，从求和，正弦，余弦以及复杂的算术运算等基本函数，到矩阵求逆，矩阵求特征值，贝塞尔函数和快速傅里叶变换等复杂函数。

The squares of Bessel functions are plotted about O on the equator and on the first , second, third an fifth layer lines for half of the nucleotide mass at 20 A. diameter and remainder distributed along a radius, the mass at a given radius being proportional to the radius.

的平方贝塞尔函数绘制关于澳赤道和第一，第二，第三行的第五层的一半，在20个核苷酸大众答：直径和其余分布在半径，大众在某一半径正在比例到半径。

The mathematical method for calculating the infinite oscillating integration with complex argument modified Bessel functions is discussed. The borehole correction charts of the coils with metal mandrel are given.

给出了含复宗量变型Bessel函数无穷限振荡积分的数值计算方法和含金属心棒线圈系的井眼校正图版。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

Steady-state harmonics and transient performance of the conventional static synchronous compensator controllers are first investigated. Based on the sensitivity analysis of the STATCOM output power, it is found that the voltage magnitude is more effective than the phase angle in controlling the reactive power output. An analytical approach to harmonic analysis of a STATCOM based on Bessel functions of the first kind is described.

本博士论文首先分析传统静态同步补偿器(Static Synchronous Compensator， STATCOM)控制器的优缺点，利用对静态同步补偿器输出功率的灵敏度分析，得知要控制补偿器输出虚功大小时，直接对静态同步补偿器输出电压大小作控制，会比对相角作控制来得有效。

To match the boundary conditions, the modified Bessel functions are expanded to the planar wave in the interface. Then the eigenvalue equations of different polarizations are obtained by scalar approximation. At last, the relations between propagation losses and the states of polarizations, the geometric structures of the fiber, the refractive index and thickness of the polymer are calculated.

论文首先给出其等效折射率数学模型，在纤芯和包层中，光场用贝塞尔函数及虚宗量贝塞尔函数的求和表示，在聚合物和金属中用指数函数的求和表示，交界面上采用将虚宗量贝塞尔函数用平面波展开的方法匹配边界条件，然后利用标量近似求出极化D型光纤不同偏振态光场模式的本征值方程，最后通过数值计算得到光纤的传输损耗与抛磨平面和纤芯之间的距离，聚合物粘接材料的折射率和厚度，以及偏振态之间的关系。

Through the Laplace and Z transformations, it represents the varying features of electromechanical disturbance in a uniform chain network using the family of Bessel functions; the growing or attenuating laws are the same as that of electromechanical wave in a continuum model along the corresponding transmission media. Furthermore, the time of electromechanical disturbance arriving at any bus in the discrete model is also the same as that of electromechanical wave arriving at the corresponding bus in the continuum model.

通过Laplace和Z联合变换，用Bessel函数表示出机电扰动在均匀离散系统中的变化特征，得出扰动的增衰规律与连续体模型中机电波的增衰规律完全相同，而且离散系统中扰动传播到每一条母线所需要的时间与连续体模型中机电波传播到相应母线所需时间也完全相等。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。