似稳场中的涡旋电场和电流源的关系

推导了涡旋电场与它的电流源之间的关系，利用此关系和磁场矢势计算了球形线圈内外的磁感应强度，并证明了两个闭合回路之间的互感系数相符。     

一类二维时变磁场激发涡旋电场的静电场类比计算

通过二维涡旋电场与二维静电场分布的比较，求解椭圆柱区域磁场随时间变化所激励的涡旋电场的场强转变为求解电场的势，从而使问题简化。     

抗磁质磁化过程的讨论与分析

运用涡旋电场的概念讨论分析了抗磁质在外磁场中磁化过程抗磁性的起因。     

静电场与涡旋电场无限大平面的电通量

讨论了静电场和涡旋电场在无限大平面上的电通量。提出了关于涡旋电场无限大平面电通量等于零的假设。     

圆形区域变化磁场激发 涡旋电场的问题剖析及案例分析

剖析涡旋电场的分布以及涡旋电场中非导体约束和导体约束条件下的电势问题, 给出在限定的圆形区 域内均匀变化磁场中的涡旋电场、 感生电动势与电势的分布规律, 以及在这限定的圆形区域内均匀变化的磁场中, 非导体约束和导体约束条件下电势的计算与比较. 通过在涡旋电场中对电源、 电势及电压等概念的引入,澄清了一 些在大学物理教学中涉及涡旋电场的容易模糊、 难于理解的概念. 对涡旋电场的一个具体案例进行了详细分析     

浅谈电磁学中的3种电场

在普通物理学的电磁学理论层面上对电场的描述可以是3种电场, 分别是静电场、 稳恒电场和涡旋电 场, 它们既具有电场的共性, 又有各自的特征. 讨论了3种电场的本质属性、 基本特征及其相互联系, 以利于电磁学 的教与学     

静磁外部球谐多极矩展开

本文讨论静磁球谐多极矩展开,包括静磁标势和静磁矢势的外部球谐多极矩展开.在磁矢势外部球谐多极矩分析中介绍了两种不同的方法,方法一基于磁标势外部球谐多极矩展开求惯用磁矢势外部球谐多极矩展开,方法二从电流对远源场点磁矢势场贡献出发借助德拜势直接求得静磁矢势外部球谐多极矩展开的惯用表示.     

用对比法研究涡旋电场

从电流的磁场公式和涡旋电场的环流公式出发．用对比方法得出计算涡旋电场的一般公式，并解答几个基本问题。     

长直导线通以变化电流产生的涡旋电场

本文对长直导线通以变化电流时所产生的涡旋电场作了分析，给出涡旋电场分布公式，并通过例题对应用该式计算有关感生电动势作了说明．     

涡旋电场中导体中上的电势

在似稳条件下，处于涡旋电场中导体上的电势差是导电体内无旋电场的线积分，不是合电场的线积分。     

变化磁场产生涡旋电场的一般形式

本文中引入矢量电势以给出变化磁场产生涡旋电场的一般表达式以及二维情形中的形式．并用来对熟知的圆柱形磁场分布作了计算和讨论     

涡旋电场中导体上的电势

在似稳条件下，处于涡旋电场中导电体上的电势差是导电体内无旋电场的线积分，不是合电场的线积分     

Macroscopic far-field observation of the sub-wavelength near-field dipole vortex

The energy flow lines of the radiation emitted by a rotating electric dipole moment have a vortex structure near the source. The spatial extend of this vortex is well below an optical wavelength. This near-field vortex has a macroscopic effect which could be observed in the far field.     

Far-field detection of the dipole vortex

The energy flow lines (field lines of the Poynting vector) of electric dipole radiation exhibit a vortex structure in the near field when the dipole moment of the source is in circular rotation. The spatial extend of this vortex is smaller than a wavelength and may not be observable by a measurement in the near field. We show that the rotation of the field lines close to the source affects the image of the dipole in the far field, and this opens the possibility for observation of this vortex by a measurement in the far field.     

Second-harmonic wave induced by vortex beams with radial and azimuthal polarizations

The author investigated second-harmonic (SH) wave patterns generated by focused vortex beams with radial and azimuthal polarizations. Expressions for electric field components near the focus through a dielectric interface were obtained based on vector diffraction theory. Furthermore, the (110) and (001) planes of a crystal classified in the symmetry group 4?3m were considered as second order nonlinear optical medium to analyze nonlinear polarization and the intensity distributions of the SH wave in the far-field were simulated for topological charge m = 1 and 2. Numerical simulations indicated that the intensity and emission pattern of the SH wave depended principally on the electric field component and distribution near the focus. In particular, for the (001) plane, the intensity of the SH wave was strongly correlated with the existence of a longitudinal electric field.     

Reversal of the dipole vortex in a negative index of refraction material

When a small particle is illuminated by a circularly polarized laser beam, the induced electric dipole moment rotates in a plane. The flow lines of the emitted electromagnetic energy are the field lines of the Poynting vector. When the particle is embedded in a dielectric, these field lines have a vortex structure, and the rotation in the vortex has the same orientation as the rotation direction of the dipole. We show that when the embedding medium is a negative index of refraction material, the direction of rotation in the vortex is reversed.     

Impact of equilibrium radial electric field on energy loss process after pedestal collapse

An impact of the equilibrium radial electric field on energy loss processes after pedestal collapse is numerically investigated using the BOUT++ framework. Using linear stability analysis, the resistive ballooning mode is shown to be stabilized by the radial shear of the equilibrium radial electric field. On the other hand, the energy loss level after the pedestal collapse increases if the equilibrium radial electric field is taken into account. The spatio-temporal and phase diagram analyses show that the equilibrium radial electric field partially cancels the fluctuation-driven toroidally axisymmetric radial electric field and weakens the E × B shearing rate after pedestal collapse, weakening the turbulence suppression by vortex shearing. The equilibrium radial electric field therefore increases turbulence intensity in nonlinear cyclic oscillations among pressure gradient, E × B shearing rate, and turbulence intensity, which gives rise to subsequent bursts of turbulent transport and increases the energy loss level.     

双折射晶体入射、折射光电场矢量的琼斯描述及界面处菲涅耳方程的修正

为了用琼斯矢量更明确地表示双折射晶体入射光和折射光的偏振状态,利用波法线椭球和物质方程,将入射光和折射光的电场矢量均视为由o振动和e振动两个方向的分量叠加而成,并将之投影到垂直于和平行于入射面的两个方向上。其中,入射光和折射光电场分量之间的关系用菲涅耳方程中的透射系数表示。考虑到e光电场矢量与电位移矢量的差别,对菲涅耳方程进行了一定的修正以满足e光的边界条件。最终给出了入射光和折射光电场矢量的琼斯矢量形式。并通过具体的数值计算说明,菲涅耳方程修正前后e光的透射系数有一定的差别,且e光的电场矢量和电位移矢量之间的分裂不可忽略。     

Control of vortices by homogeneous fields in asymmetric ferroelectric and ferromagnetic rings

Effective Hamiltonians have been used (i) to demonstrate that the shape asymmetry of ferromagnetic rings is essential to the recently discovered switching of the chirality of their vortices by homogeneous magnetic fields, via a transition into onion states; (ii) to reveal that an electric vortex can also be controlled by a homogeneous electric field in asymmetric ferroelectric nanorings, via the formation of antiferrotoroidic pair states rather than onion states; and (iii) to provide the fundamental reason that allows such control, namely, two new interaction energies involving a vector characterizing the asymmetry, the applied field, and the toroidal moment.