查询词典 Bessel

Applying the theory of Bessel function, the exact transfer matrix formulae of the asymmetric free vibration of the circular and annular plate elements with uniform thickness can be obtained.

应用贝塞尔函数理论，求得等厚度圆板和环板单元非对称自由振动传递矩阵的正确公式。

Description of bottle beam and reconstruction of Bessel beam based on diffraction integral theory .

衍射理论对局域空心光束及无衍射光束重建的描述。

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

On the base of Lord Kelvin point-source solution, the integral of Bessel function, Poisson superimpose formula and boundary element method, we resolve it and obtain the boundary element basic solution.

受求解方法局限性的限制，目前经典渗流力学理论还无法精确求解复杂外边界油藏中生产井层部分射孔问题。

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

Using the continued fraction method other than the traditional recurrence methods to generate the Bessel function, we built an accurate code for calculating the Mie scattering.

2利用Mie散射模式计算气溶胶散射相函数的展开式系数，直接提供逐次散射计算中所需要的立体角积分网格上的相函数，避免为获得相函数而进行内插。

Unstable Bessel optical resonator consisted of an axicon and a convex spherical mirror is studied.

研究了由圆锥透镜和凸面镜组成的非稳贝塞尔光学谐振腔。

In this thesis, the research on"the Nodal Green's Function Method For Cylindrical Geometry on Neumann Boundary Condition Based on Bessel Functions" is a pioneer work.

以上工作的完成，使该程序系统成为清华大学核研院堆芯物理设计和燃料管理的核心程序。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

Based on wave function expansion method, the potential functions of scattered waves are expanded into Fourier-Bessel series; and a set of cylindrical coordinate systems is utilized in such a way that it allows to solve the problem of multiple scattering; the solution is determined by imposing continuity and equilibrium conditions at the soil-pile interfaces.

采用波函数展开法，将散射波的势函数展开成Fourier-Bessel级数的形式，利用一组可以求解多散射问题的圆柱坐标系统和桩土界面处位移连续的条件，以及刚性桩的动力平衡条件，得到问题的理论解。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。