载流有限长密绕螺线管的磁场分布

对于通以恒定电流的有限长螺线管,首先用柱函数展开法推导出矢势的表达式,再利用磁感应强度与矢势的关系式,得出积分形式的磁场表达式.然后用直接积分的方法计算出磁场分布的级数表达式.最后讨论了某些特殊位置处的磁场.     

有限K厚壁载流螺线管的磁场分布

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.用直接积分的方法,计算出厚壁螺线管内部和外部的磁场分布的级数表达式.另外还用本文得出的公式求得中轴线上的磁场.     

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。     

有限长厚壁载流螺线管的磁场分布

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．用直接积分的方法,计算出厚壁螺线管内部和外部的磁场分布的级数表达式．另外还用本文得出的公式求得中轴线上的磁场．     

无限长平面电流的磁场分布及计算机模拟

推导出了无限长平面电流磁场分布的一般公式,并利用计算机数学软件MATLAB画出了二维的等磁感应强度曲线和三维的磁感应强度分布曲面。     

圆形载流导线的磁场

给出了圆形载流导线产生的矢势，并利用磁感应强度与矢势的关系导出了此导线在空间任意点的磁场．     

对求解通电螺线管磁场两种方法的讨论

分别利用磁标势法和磁矢势法求解通电螺线管空间点磁场的磁感应强度,将两种方法进行比较和讨论,得出求解通电螺线管空间点磁场时选用磁标势法或磁矢势法的一般规律。     

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.     

线电流与无限长磁介质圆柱系统的磁矢势的计算及讨论

用镜象电流法和分离变量法计算了线电流与无限长磁介质圆柱系统的磁矢势,指出线电流与无限大磁介质分界平面、线电流与超导体圆柱、均匀外磁场中有磁介质圆柱系统时的磁矢势都可以由线电流与磁介质圆柱系统的磁矢势的极限情形给出.     

求解稳恒磁场的谐函数展开法

推导出稳恒磁场矢势的谐函数展开式,当稳恒电流的分布适宜于用直角坐标系表示时,可应用该展开式求解磁场,给出了应用该展开式求解稳恒磁场的例子。     

任意两共轴圆线圈间的互感系数及磁感线的分布

从一个圆电流的矢势出发,导出了任意两共轴圆线圈间互感系数的函数表达式,根据其函数表达式,由数学软件MatLab绘出了互感系数随两线圈间距离及两线圈半径变化的分布图.然后再从一个圆电流的矢势出发,导出了任意两共轴圆电流线圈磁感线所满足的方程,按照磁感线方程也绘出了其磁感线在空间的分布图.     

线电流与条形铁磁质板所形成的磁场

利用已有的儒可夫斯基变换结论,通过圆柱镜像法,计算线电流与薄条形铁磁质板所形成的磁场,给出其磁矢势的分布和磁感线方程,并利用数学软件MATLAB绘制出磁感线图.     

利用磁矢势计算分离均匀载流薄圆筒周围的磁场强度

根据一对反平行无限长载流直导线周围等磁矢势线的特点,与分离载流薄圆筒表面的等磁矢势线进行类比,采用等效替代法方便地得到分离载流薄圆筒周围的等磁矢势线函数与磁场强度函数.     

Calculation of Magnetic Configuration and Resistance for Nanomagnets

Based on a classical Heisenberg lattice model with dipole interaction and the method of spin dynamic simulation,the magnetic configurations (MC),hysteresis loop (HL) and magnetic resistance (MR) of the nanomagnets with different geometries,such as circle,square and rectangle,are studied for different directions of applied field.In the case of perpendicular field to the plane,the magnetization and MR are reversible and have not hysteresis.When the field is applied in the plane,the HL is irreversible and is qualitatively well agreeable with the current experimental results.The MR loop is also irreversible and appears two peaks distributed at two sides around zero field.The peaks of magnetic resistance are relative to the vortex state of similar configuration.Large easy-axis anisotropy will suppress the MC anisotropy,and the large magnetoresistance effect disappears.     

Magnetic resonance signals from the optically oriented two-level spin system in the presence of nonresonant fields

A theoretical and experimental investigation into the motion of the magnetization vector in the presence of two additional circularly-polarized nonresonant rf fields, when these fields rotate in the plane analogous to that of resonant rf fields with the frequency ω, has been performed. The nonresonant fields are equal in magnitude; their frequencies differ from the resonant frequency ω by the value of ±Ω, which essentially exceeds the magnetic resonance line width.     

线电流与楔形铁磁质所形成的磁场

利用复数坐标系z上的保角变换,计算长直线电流与无限大楔形铁磁质所形成的磁场,给出其磁矢势的分布,并利用数学软件MATLAB绘制出磁感线分布图.     

Polarimetric Measurement of Plasma Poloidal Magnetic Field via Heterodyne Phase Shift Methods

The rotation of the plane of polarization of radiation propagating through a magnetized plasma (Faraday effect) yields the line integral of the electron density times the longitudinal magnetic field component. A commonly used technique for this measurement senses the change in intensity of a laser beam after passing through a linear polarizer. Two methods often employed to facilitate detection are 1) to mix the transmitted beam with a frequency-offset reference beam to allow heterodyne detection and 2) to oscillate the polarization direction of the laser beam. In addition to being sensitive to spurious amplitude variations, such amplitude measurements are sensitive to small polarization ellipticities introduced by optical components as well as by transverse magnetic fields within the plasma. By the addition of a quarter wave plate, the Faraday rotation can alternatively be sensed as a phase shift of the heterodyne beat of two frequency-offset input beams relative to the case of no plasma. This scheme has the advantage of phase modulation over amplitude modulation, i.e., independence of absolute amplitude and weak dependence on amplitude change. We demonstrate with Jones matrix algebra how the measured phase shift depends only weakly on imperfections and angular alignments of the optical components. Moreover, the phase shifts can be increased more than an order of magnitude by deliberate modifications in the basic optical configuration at a sacrifice of comparable amounts of the amplitude modulation of the carrier from which the phase shift is determined.     

行波管周期永磁聚焦系统模拟软件的研制

 通过对行波管周期永磁聚焦系统(PPM)的理论分析,开发了2维模拟软件UESTC_PPM。该软件主要用于模拟轴对称的永磁结构,在圆柱坐标系下,采用有限差分的方法迭代求解磁钢内外任意位置处的磁感应强度分布。模拟了单磁环结构以及单周期结构,将结果与Ansoft Maxwell 3D的模拟结果进行了对比,结果表明：轴上、轴向以及径向磁感应强度的分布图均很接近,但UESTC_PPM软件耗时较短,验证了UESTC_PPM的正确性,并具有一定的精确度。