二次曲面线圈中的均匀磁场

基于对旋转椭球内部磁场的讨论,采用Matlab数值计算的方法计算了旋转椭球的内部磁场.对于旋转抛物球和双曲球面,用相同方法绕制线圈也能得到均匀的磁场.印证了内部磁场计算的公式,并提出了一种产生大范围均匀磁场的方法.     

目标场法在悬浮超导球体的球形线圈设计中的应用

文中把目标场法引入到悬浮超导球体的球形线圈设计中,根据目标场法产生均匀磁场的原理,通过离散化绕组来近似处理球形线圈在超导球体和球形线圈的间隙内产生均匀磁场的电流密度分布规律。利用有限元分析和验证,在超导球体与球形线圈之间的间隙内产生了具有很好均匀性的悬浮磁场,这会明显提高超导球体悬浮的刚度和稳定性。     

椭球形线圈磁场均匀性的研究

用我们提出的数字图像法研究了载流椭球形线圈内部磁场的均匀性.利用Mathematica杰出的计算能力和数字绘图功能,绘制了疏绕旋转椭球形线圈磁场的三维分布图,给出了满足各种指定均匀度所对应的椭球区域,指出了现有文献研究圆柱形均匀区的不合理性.本文为电磁场均匀性研究提供了一种方便可靠的方法.     

亥姆霍兹线圈磁场的均匀性分析及误差估算

分析了亥姆霍兹线圈中心区域轴向磁场的分布,给出估计线圈磁场均匀区的计算方法,得到均匀区分布曲线图.     

四个平行共轴等大载流方线圈磁场的均匀性分析

匀强磁场广泛应用于科学研究和工程技术.以毕奥-萨伐尔定律和磁场叠加原理为基础,建立了4个平行共轴等大载流方线圈磁场磁感应强度的表达式;用泰勒级数展开方法,发现了线圈系统磁场均匀性最好的条件;借助于数值计算,讨论了3种具体情况下线圈系统磁场的均匀性.结果表明:在最佳状态下,线圈系统能够在较大空间区域产生相对偏差小于0.01%、方向偏差小于0.01度的均匀性极高的磁场,并且磁场的均匀性和空间范围都明显优于方形亥姆霍兹线圈的磁场.     

电子成像均匀约束磁场的产生及测试分析

为增加离子与原子碰撞成像系统中探测电子的立体角，设计了一约束电子的复合型亥姆霍兹线圈装置.对复合型亥姆霍兹线圈的磁场分布进行了理论计算和分析，并对制作的复合型亥姆赫兹线圈产生的磁场进行了实验测量，得出磁场的均匀性好于±0.6%. 关键词： 亥姆霍兹线圈 磁场分布 磁场均匀性     

3个共轴圆线圈形成的匀强磁场

分析了3个共轴圆线圈形成磁场的均匀性，得到了3个共轴圆线圈形成匀强磁场的条件，并且通过数值计算，全面展示3个共轴圆线圈磁场的均匀性．只要合理配置3个共轴圆线圈的大小、线圈中的电流强度和线圈之间的距离，3个共轴圆线圈的磁场在强度和均匀性方面都优于亥姆霍兹线圈的磁场。     

亥姆霍兹线圈磁场均匀性的研究

本文利用ＩＢＭ—ＰＣ计算机时圆电流的磁场和亥姆霍兹线圈（Ｎ＝１和Ｎ＝９９）的磁场作了精确计算； 给出了亥姆霍兹线圈的磁场系数和相对误差的数据，画出了１％、０．２％和０．０２％的磁场均匀区；对影响亥姆霍兹线圈磁场均匀性的几个因素进行了计算和讨论．     

亥姆霍兹线圈磁场的均匀性分析及误差错估算

分析了亥姆霍兹线圈中心区域轴向磁场的分布,给出估计线圈磁场均匀区的计算方法,得到均匀区分布曲线图。     

亥姆霍兹线圈磁场的探究

定量计算了亥姆霍兹线圈空间磁场的分布,并用Mathmatic进行空间模拟,形象地描述了亥姆霍兹线圈的空间磁场分布,同时就其均匀性与三线圈和载荷旋转圆盘的磁场进行了对比讨论.     

共轴三线圈磁场的均匀性

给出用平行共轴不等大等电流的三个圆线圈形成匀强磁场的方法．文中给出了三线圈形成匀强磁场的条件,并且通过数值计算全面分析了三线圈磁场的均匀性．与Helmholtz线圈磁场比较显示,三线圈的磁场无论在强度方面,还是在磁场均匀性方面都明显优于Helmholtz线圈的磁场．     

Dynamic multi-coil shimming of the human brain at 7 T

High quality magnetic field homogenization of the human brain (i.e. shimming) for MR imaging and spectroscopy is a demanding task. The susceptibility differences between air and tissue are a longstanding problem as they induce complex field distortions in the prefrontal cortex and the temporal lobes. To date, the theoretical gains of high field MR have only been realized partially in the human brain due to limited magnetic field homogeneity.A novel shimming technique for the human brain is presented that is based on the combination of non-orthogonal basis fields from 48 individual, circular coils. Custom-built amplifier electronics enabled the dynamic application of the multi-coil shim fields in a slice-specific fashion. Dynamic multi-coil (DMC) shimming is shown to eliminate most of the magnetic field inhomogeneity apparent in the human brain at 7 T and provided improved performance compared to state-of-the-art dynamic shim updating with zero through third order spherical harmonic functions. The novel technique paves the way for high field MR applications of the human brain for which excellent magnetic field homogeneity is a prerequisite.     

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。     

Designing shielded radio-frequency phased-array coils for magnetic resonance imaging

In this paper, an approach to the design of shielded radio-frequency (RF) phased-array coils for magnetic resonance imaging (MRI) is proposed. The target field method is used to find current densities distributed on primary and shield coils. The stream function technique is used to discretize current densities and to obtain the winding patterns of the coils. The corresponding highly ill-conditioned integral equation is solved by the Tikhonov regularization with a penalty function related to the minimum curvature. To balance the simplicity and smoothness with the homogeneity of the magnetic field of the coil’s winding pattern, the selection of a penalty factor is discussed in detail.     

A novel approach to designing cylindrical-surface shimcoils for a superconducting magnet of magnetic resonance imaging

For a superconducting magnet of magnetic resonance imaging (MRI), the novel approach presented in this paper allows the design of cylindrical gradient and shim coils of finite length. The method is based on identification of the weighting of harmonic components in the current distribution that will generate a magnetic field whose z-component follows a chosen spherical harmonic function. Mathematical expressions which relate the harmonic terms in the cylindrical current distribution to spherical harmonic terms in the field expansion are established. Thus a simple matrix inversion approach can be used to design a shim coil of any order pure harmonic. The expressions providing a spherical harmonic decomposition of the field components produced by a particular cylindrical current distribution are novel. A stream function was applied to obtain the discrete wire distribution on the cylindrical-surface. This method does not require the setting of the target-field points. The discussion referring to matrix equations in terms of condition numbers proves that this novel approach has no ill-conditioned problems. The results also indicate that it can be used to design cylindrical-surface shim coils of finite length that will generate a field variation which follows a particular spherical harmonic over a reasonably large-sized volume.     

A combined system for generating a uniform magnetic field and its application in the investigation of Efimov physics

We propose a scheme to produce a uniform magnetic field with a system comprising a pair of coils and an atom chip.After optimizing the parameters of the chip wires, we improve the homogeneity of the magnetic field by two orders of magnitude. We exhibit that this method can be applied in the investigation of Efimov physics in ~(87)Rb-~(40)K mixture.     

短腔、自屏蔽磁共振成像超导磁体系统的混合优化设计方法

本文提出一种用于短腔、自屏蔽磁共振成像超导磁体系统的混合优化设计方法,通过结合线性规划和非线性优化算法,设计出的磁体系统具有建造成本低、结构简单、以及线圈中最高磁场、电流安全裕度和电磁应力可控等优点.首先,通过线性规划算法在欲布置线圈空间范围内建立二维连续网格划分,搜索满足磁场约束条件的网格电流分布图;其次,将电流分布图中的非零电流簇离散成螺线管线圈,通过非线性优化算法计算出满足成像区域磁场均匀度要求、5 Gs杂散场限制、线圈中最高磁场限制、电流安全裕度以及线圈间尺寸间隔等约束条件的线圈结构参数.文中给出一个中心磁场为1.5T自屏蔽磁共振成像超导磁体系统的设计案例,在50 cm球形成像区域所产生的磁场峰峰值不均匀度为10 ppm,线圈最大长度为1.32 m.该设计方法可用于对称、非对称螺线管线圈系统以及开放式双平面线圈系统的磁共振成像磁体系统设计.     

A double-gap planar magnetic lens

An analytical model and equations for describing the field of a planar magnetic lens with two concentric nonmagnetic gaps are developed. It is demonstrated that the “half-width” of the magnetic field of the lens can be controlled by varying independently the currents in the excitation coils of the two gaps. This makes it possible to control the focal length and the spherical aberration of the lens. It is shown that when oppositely directed currents are used in the excitation coils, a planar magnetic lens that does not rotate the image can be obtained. Zh. Tekh. Fiz. 69, 133–134 (August 1999)     

HIAF电子冷却装置高精度线圈磁轴测量

强流重离子加速器装置（HIAF）将采用电子冷却技术,降低重离子束流的发射度和动量分散,提高核物理及原子物理实验的精度与亮度。电子冷却装置的冷却段磁场均匀度是影响冷却效率的主要参数,HIAF电子冷却装置采用多个独立高精度线圈串联产生纵向磁场的设计,获得极高的冷却段磁场均匀度。本文介绍了一种测量高精度线圈磁轴偏角的装置,采用定位装置测量线圈的几何对称轴,通过旋转霍尔探头测量线圈中心平面上的径向与轴向磁场分布,再根据磁场测量数据计算出线圈磁轴与几何对称轴之间的偏角。实际测量表明该装置的磁轴偏角测量精度达到±0.10 mrad。测量得到的HIAF电子冷却装置冷却段线圈样品的磁轴偏角为（1.28±0.10）mrad,达到设计要求。