环电流磁场的数值积分法与解析解的比较和可视化

本文推导了环电流产生的磁感应强度在直角坐标系中的积分表达式,将公式无量纲化,用数值积分计算场强,画出磁感应强度两个分量以及合场强和方向曲面,画出磁感应线.本文提出了磁感应强度在直角坐标系中的解析式,通过作图验证了公式的正确性.     

无限长载流薄板磁场的矢势与磁感应强度计算及可视化

推导了无限长均匀薄板电流磁场的矢势和磁感应强度的解析式,将公式无量纲化,计算矢势和磁感应强度,画出中垂面上和板平面上矢势和磁感应强度曲线,并与直线电流磁场的矢势和磁感应强度进行比较,画出矢势和磁感应强度两个分量以及合磁场和方向曲面,画出了二维磁感应线,显示了磁感应强度分布规律.     

对一类静电问题的进一步计算分析

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.     

两种均匀磁介质分界面上有长载流导线的场和电流分布

分析两种均匀磁介质分界面上有长载流导线的场和电流分布，指出磁感应强度B=B(r)φ径向对称分布是由径向对称分布的总电流j=j(r)ez(包括传导电流和磁化电流)所激发,探讨了传导电流的分布与磁感应强度B、磁场强度H和磁化电流的分布的关系。     

圆形线电流的磁感应强度

用磁标势法计算了圆形线电流的磁感应强度。利用这个结果证明了圆形线电流平面中心的磁感应强度有极小值,给出了圆环回路的自感系数的计算公式。     

用Mathematica研究环形电流平面内磁场

本文借助于Mathematica分别对圆形和椭圆形电流在所处平面产生的磁感应强度作了解析和数值计算,并给出了磁感应强度随位置变化的图像,可以让学生更好的了解环形电流所产生的磁场。     

叠加法求均匀带电球体电场问题

现有教材中计算均匀带电圆盘轴线电场强度公式,只得到场强大小,没有明确给出场点和圆盘的相对位置与场强方向之间的关系。若根据场强叠加的方法利用此公式计算均匀带电球体的场强分布,容易得到错误的结果。将符号函数引入均匀带电圆盘轴线上电场强度计算式,可以得到场强大小及相对于圆盘的方向,清楚而准确地给出均匀带电圆盘轴线电场强度。利用该公式再次求解均匀带电球体电场,结果与利用高斯定理得到的结果完全相符。     

永磁魔环磁感应强度的仿真模拟

本文通过对永磁魔环结构的磁感应强度的模拟,得到了特殊磁化方向下环形空腔内外磁感线的分布规律,得出在该条件下磁环腔内部场强大于外部场强且具有较好的方向性的结论,进一步对永磁魔环磁感应强度进行仿真模拟,为阿尔法磁谱仪研究提供了一定的参考.     

探究均匀带电直线和圆弧产生电场的关系

利用微元法和对应性推证了均匀带电直线与均匀带电圆弧产生的电场等效; 利用微元法和对称性推 导了均匀带电圆弧在圆心的场强公式; 利用结论巧妙解答有关线性带电体的场强计算问题     

环形电流磁场分布及磁感线基于C++的数值模拟

磁场的测量及磁感线的描绘是大学物理重要的实验,然而一般教材往往只给出磁感应强度在特殊位置的理论值,对于磁感线的分布也就更少涉及。原则上基于毕奥-萨伐尔定律可以计算任意载流线圈在空间任意位置的磁感应强度,然而限于复杂的矢量积分,严格的解析解通常很难得到,利用计算机编程进行数值计算可以很好地解决这个困难。对于简单的环形电流,考虑到磁感应强度分布的轴对称性,在柱坐标的形式下给出环形电流的磁感应强度的一般表达式。利用C++编程对磁感应强度及磁感线的空间分布进行模拟。     

Electronic structures of GaAs/AlGaAs concentric double rings in applied electric and magnetic field

The electronic structures of GaAs/Al_0.35Ga_0.65As concentric double rings are calculated based on the effective mass envelope function theory, with and without the applied electric and magnetic field along the growth direction. The Hamiltonian matrix elements are determined through the Fourier transform method. As the heterostructure evolves from a single ring to the concentric double rings, our simulation is performed on the bound state energies of the electron and the hole. The results show that the energy levels undulate with the evolution of the ring. The applied magnetic field increases the ground state energies both of the electron and of the hole, as well as the transition energy between the first conduction subband and valence subband. However, the electric field decreases the electronic energies linearly.     

Quantum rings in tilted magnetic fields

The electronic states of semiconductor quantum rings (QRs) under tilted magnetic fields are studied in the framework of the effective mass and envelope function approximations. For an axial field, the orbital Zeeman contribution prevails leading to the well-known Aharanov–Bohm spectrum, but it slowly decreases as the magnetic field direction declines. For an in-plane field, only the diamagnetic shift survives and it leads to the formation of double quantum well solutions, this result being relevant for experimental techniques which use in-plane magnetic fields to determine the spin of QR ground states. We also investigate the magnetic response of partially overlapped QRs, which are characteristic of high-density samples of self-assembled rings, and find that the spectrum is quite sensitive to ring coupling.     

介观金属双环系统中的持续电流和量子能谱

基于电荷的不连续性,对处于外磁场中的介观双环系统进行量子化.假设系统在电荷表象中具有变换的对称性,通过求解电流和Hamilton算符的本征值方程,给出介观金属环互感系统中的量子电流和能谱关系;分析和研究了介观金属环中量子电流和能谱的性质.结果表明,持续电流和量子能谱不仅与外磁场、介观双环参数有关,而且还明显地依赖于电荷的量子化性质.     

利用轴向磁化的永磁环制造轴向梯度磁场

首先叙述了由单个轴向磁化环所产生的磁场,并就两个永磁环所产生的纵向磁场进行了分析.对于两个沿同一方向磁化的永磁体环,沿磁环中心线将会产生一个强度较为均匀的轴向磁场.如果两者的磁化方向相反,则在两磁铁间的区域将产生一个纵向的梯度磁场,其磁场强度介于-B₀到+B₀之间.设计制造了一个高梯度的轴向磁场,其磁场梯度为47.2Tm,测量结果与计算结果非常一致.文中还讨论了产生变梯度磁场的方法.由于永磁环所产生的磁场和螺线管的磁场较为相似,磁铁外部空间将有较大的漏场,最后还讨论了屏蔽漏场的问题.     

Magnetoexciton in semiconductor concentric double rings

We investigate theoretically the magnetoexciton states in semiconductor concentric quantum double rings using the multi-band effective mass theory. We find that a perpendicular magnetic field can lead to oscillations in the exciton energy which appear as kinks in the magneto-photoluminescence (PL) spectra as the magnetic field increases. The spatial distribution of the exciton over the rings depends sensitively on the thicknesses of the inner and outer rings. The tunneling coupling between the inner and outer rings and the heavy-hole and light-hole mixing results in different anticrossing behaviors. Exciton can be converted into a spatially separated type-II exciton by tuning the thickness, the inner and/or outer ring radius and the magnetic field. We show that this type I–type II transition is reflected in the oscillator strength of the PL spectrum which will be the experimental signature that will provide us with information about the spatial distribution of the exciton.     

Multi-bubble motion behavior of uniform magnetic field based on phase field model

Aiming at the interaction and coalescence of bubbles in gas–liquid two-phase flow, a multi-field coupling model was established to simulate deformation and dynamics of multi-bubble in gas–liquid two-phase flow by coupling magnetic field, phase field, continuity equation, and momentum equation. Using the phase field method to capture the interface of two phases, the geometric deformation and dynamics of a pair of coaxial vertical rising bubbles under the applied uniform magnetic field in the vertical direction were investigated. The correctness of results is verified by mass conservation method and the comparison of the existing results. The results show that the applied uniform magnetic field can effectively shorten the distance between the leading bubble and the trailing bubble, the time of bubbles coalescence, and increase the velocity of bubbles coalescence. Within a certain range, as the intensity of the applied uniform magnetic field increases, the velocity of bubbles coalescence is proportional to the intensity of the magnetic field, and the time of bubbles coalescence is inversely proportional to the intensity of the magnetic field.     

磁场对介观耦合金属环中持续电流的影响

在考虑电荷是量子化的基础上，研究了外加磁场对介观耦合金属环中持续电流的影响.结果表明：由于存在耦合，介观金属环中总是存在附加的持续电流，附加的持续电流与电路参数及耦合系数有关.当外加磁通量按正弦规律变化时，介观耦合金属环中出现倍频与分频效应. 关键词： 介观耦合金属环 持续电流 磁场     

Studying quantum current magnification in mesoscopic coupling metallic rings

We propose a quantum Hamiltonian and obtain the relationship between external magnetic field and currents of three mesoscopic coupling rings. The impact of coupling on quantum current magnification in the system is studied. It is found that the quantum current magnification effect strongly depend on both the external magnetic flux and the coupling factors. As a result, by taking use of coupling rings, we can design some circuits to transfer and communicate signals.     

Magnetopolaron state of particles in quantum rings of finite width

The energies of the electron and hole weak-coupling polarons are determined in quantum rings of finite width in a uniform magnetic field. It is shown that polaron corrections exhibit oscillatory behavior as a function of a magnetic field. The effect of polaron corrections on the absorption and emission spectra of light by excitons in a quantum ring is considered.     

Eccentricity effects on the quantum confinement in double quantum rings

This work presents a theoretical study of the energy spectrum of GaAs/AlGaAs concentric double quantum rings, under an applied magnetic field directed perpendicular to the ring plane. The Schrödinger equation for this system is solved in a realistic model consisting of rings with finite barrier potentials. Numerical results show that increasing the magnetic field intensity leads to oscillations in the ground state energy which, in contrast to the usual Aharonov-Bohm oscillations, do not have a well defined period, due to the coupling between inner and outer ring states. However, when one considers an elliptical geometry for the rings, the energy spectra of the inner and outer ring states are decoupled and the periodicity of the oscillations is recovered.