In this paper the transmission of paraxial light beams was analyzed based on the gradient vector potential of electromagnetic field .

本文运用电磁场的梯度 矢 势分析了一般情况下傍轴光束的衍射传输问题。

For the later the s-wave bound solutions of both Dirac equation and Klein-Gordon equation are given when the scalar potential is equal to the vector potential .

对于后者，在 矢量 势和标量势相等的情况下，我们给出了其Klein-Gordon方程和Dirac方程的s波束缚态解。

The Lorentz invariant relativistic optical potential have been discussed at energies below 300 MeV . The Dirac equation with scalar and vector potential is solved by exact partial wave method .

在能量低于300MeV的能区中讨论了含有罗仑兹不变性的相对论性光学势.并用严格的分波方法求解含有标量势和 矢量 势的Dirac方程。

According to the principle of virtual-work the formula of electromagnetic force based on magnetic vector potential is deduced .

根据虚位移原理，推导出基于 矢量磁 势的电磁力计算公式。

The boundary value problem on the magnetic vector potential A is derived by introducing the magnetic vector potential A and using Maxwell 's equations .

通过引入矢量磁位A并利用麦克斯韦方程组推出了以 矢量磁 位A为求解对象的边值问题。

It is found that both parallel magnetic vector potential and electrostatic potential can decisively shift Dirac point in a different way which may be an efficient way to achieve electron or hole filter .

研究结果发现平行的磁 矢 势和静电势两者可以以截然不同的方式移动狄拉克点的位置，这有可能成为一种实现电子或空穴滤波器的有效方式。

General expressions of the magnetic vector potential for multipole fields are derived .

推导出了用多极场空间谐波函数表示的磁 矢 位的通项表达式。

With the vector potential longitudinal wave accompanying electromagnetic field is zero therefore the interaction should be very weak .

与 矢 势纵波相伴的电磁场为零，故相互作用很弱。

If using the scalar potential instead of the vector potential to analyze the current-carrying regions in a3D magnetostatic field the computing time can be greatly reduced .

在三维有限元磁场中，如果对电流区域进行适当处理，采用标量磁 位进行分析，与采用 矢量磁位相比，可大大提高计算速度。

When the double and array dipoles are put in the conductive media the formula of radiation field of them have been derived from vector potential equation of single dipole .

利用电偶极子辐射场的 矢 势导出了阵列偶极子在导电媒质中辐射场的一般形式，所给出的公式不仅适用于近区、感应区，而且还适用于远区。

The magnetic induction intensity distribution B is obtained by solving its magnetic vector potential A distribution of current-carrying circular circuit in anisotropic medium .

提出一种求解各向异性磁介质中电流磁场的新方法，通过求解各向异性磁介质中圆电流环的磁 矢 势A分布，求出其磁感应强度B分布。

In the space without any electricity the static electric field can be described not only by scalar potential but also by vector potential .

讨论了在无电荷存在的自由空间，不仅可以用标势描述静电场，而且可以引用 矢 势描述静电场。

In this paper we obtain vector potential and scalar potential of static electric field static magnetic field and electromagnetic field in the no boundary isotropy linear symmetrical medium directly by utilizing foregone physical knowledge combining quasi-quantitative physical analysis and adopting appropriate scientific methods .

利用已知的物理知识，结合半定量的物理分析，采用适当的科学方法，直接得出了无界的各向同性线性均匀介质中静电场、静磁场和电磁场的标势和 矢 势。

The factors affecting permanent magnet eddy current loss calculated by using FEM method have been researched . The magnetic vector potential wave the density wave of eddy current and the distribution of eddy current are obtained .

研究了运用有限元计算永磁体涡流损耗的影响因素，得到了永磁体内的磁 矢 位波形、涡流密度波形和涡流分布。

The distribution of magnetic flux of track eddy current braking device is calculated by using vector potential method .

采用 矢量 位 A法对线性涡流制动装置的磁场分布进行了有限元理论计算。

It is proven that the MT can get the unique solution for magnetic vector potential boundary value problems that has a unique solution .

数学分析结果表明，对于具有唯一解的 矢量磁 位静磁场边值问题，多极理论所获得的解是唯一的。

The transient electromagnetic field in 1D layered medium model was calculated . The solving method of vector potential of vertical and horizontal magnetic dipole source were deduced by method of separation of variables .

1D水平层状介质模型的瞬变电磁场，用分离变量法推导了垂直和水平磁偶极子源的 矢量 位求解方法。

This paper gives the expression of the vector potential produced by a dipole magnet with a symmetry plane .

推出具有对称平面二极磁铁产生磁场 矢 位A的表达式。

Introduction and Discussion of Electric Vector Potential in Region with Charge-free

无电荷分布区域中电 矢 势的引入及其讨论

When the vector potential function and the differential of the scalar potential function are computed singular points would occur on TPM .

但在计算 矢量 位函数和标量位函数的微分过程中，TPM模型将产生奇异点。

On the Boundary Conditions for Vector Potential and Quasi-vector Potential at Static Magnetic Fields

论恒定磁场中 矢 势和准矢势的边界条件

We introduce generally vector potential A and scalar potential φ to discuss the radiation of the electromagnetic wave and use the Coulomb gauge and Lorentz gauge to simplify the equations of electromagnetic field and its solutions .

讨论电磁波的辐射时，通常引入 矢 势■和标势φ。并采用库仑规范和洛仑兹规范使电磁场方程和求解简单化。

On Discuss of the Method of Auxiliary Sources and the Vector Potential Method

关于辅助源法和 矢 位法的讨论

At first the three-dimensional vector potential and vorticity function are introduced and the vector potential and vorticity equations are obtained in the case of arbitrary variation between density and temperature of water .

本文应用三维 矢量 势和涡函数，导出了水的密度和温度之间任意变化情况下的矢量势和涡方程。

In this paper the boundary value problem of the magnetic vector potential is derived by use of the character of the axisymmetrical electromagnetic field .

利用轴对称电磁场的性质得到了以 矢量磁 位为求解对象的边值问题。

There was a hypothesis that this vector potential represents the real flow of something in the ether .

有一种假说认为这种 矢量 电势代表着无线电中真正流动的东西。

A vector integral resolution of the vector potential integral has been gained under the given current distribution and the sphere or sphere shell region using the transform of coordinate shift and coordinate rotation .

利用坐标平移和旋转变换法，给出了 矢 势积分在给定电流分布和球壳球体两种区域下的解析解。

To improve the efficiency of eddy field calculation with magnetic vector potential necessary simplification is applied .

为了实现高效的计算，涡流场的计算引入磁 矢量 位法，进行必要、合理的化简。

This indicates that there is more profound physical meaning of the gradient vector potential of electromagnetic field .

因此，它表明电磁场的梯度 矢 势具有更明显的物理意义。

For a steady current-carrying tightly wound thick-wall solenoid with a finite length the expression of vector potential is derived by using the method of cylindrical function expansion .

对于通以恒定电流的有限长厚壁螺线管，用柱函数展开法推导出 矢 势的表达式，再根据磁感应强度与 矢 势的关系式得出磁场的积分形式表达式。