Beiranvand R
Faculty of Electrical and Computer Engineering, Tarbiat Modares University, Tehran 14115194, Iran.
Rev Sci Instrum. 2013 Jul;84(7):075109. doi: 10.1063/1.4813275.
Using the Helmholtz coils system is one of the most suitable approaches which have been introduced for generating uniform magnetic fields. In this paper, uniformity of the generated magnetic field by a practical one-dimensional (1D) Helmholtz coils system has been analyzed, mathematically. For this purpose, relationships between the magnetic field uniformity and different practical unavoidable mismatches have been extracted. The theoretical analysis clearly demonstrates the effect of assembly misalignments and manufacturing mismatches on the magnetic field achieved by a practical 1D Helmholtz coils system. The given analyses have been confirmed by the experimental results which are in good agreement with the calculated values. This analysis and the experimental results illustrate that to achieve a very high uniform magnetic field, practical assembly misalignments, and manufacturing mismatches must be as small as possible, and the background magnetic field distortion must be avoided, too. The results of this work are important in the design of instruments and systems where Helmholtz coils are used.
使用亥姆霍兹线圈系统是已被引入的用于产生均匀磁场的最合适方法之一。本文对一个实际的一维（1D）亥姆霍兹线圈系统所产生磁场的均匀性进行了数学分析。为此，已提取出磁场均匀性与不同实际不可避免的失配之间的关系。理论分析清楚地表明了装配不对准和制造失配对实际一维亥姆霍兹线圈系统所实现磁场的影响。所给出的分析已得到实验结果的证实，实验结果与计算值吻合良好。该分析和实验结果表明，要获得非常高的均匀磁场，实际的装配不对准和制造失配必须尽可能小，并且还必须避免背景磁场畸变。这项工作的结果在使用亥姆霍兹线圈的仪器和系统设计中很重要。
