磁多极场场参数的理论计算与分析  

Theoretical analysis and calculation of field parameters for magnetic multipole field

作　　者：李国峰[1] 孙克忱[1] 梁科[1] 郑旭[1] 马志翘[1] 王锦[1] 

机构地区：[1]南开大学信息技术科学学院,天津300071

出　　处：《物理学报》2007年第8期4523-4534,共12页Acta Physica Sinica

摘　　要：根据磁多极场的对称性,首先导出了磁多极场磁场分量的泰勒级数展开式,定义了磁多极场的场参数,然后根据毕奥-萨伐尔定律,导出了马鞍型磁多极场线圈的场参数理论计算公式.对各个场参数数量级的大小进行了分析,找出了场参数的递推规律,给出了场参数高阶导数的计算方法,从而能够准确计算整个空间的磁场值.还从简单单根导线计算结果过渡到多根导线或具有某种连续分布的情况.这对于磁二极场、磁四极场、磁六极场等的应用提供了可靠的理论依据.According to the symmetry, Taylor series expansion formulas were derived for the magnetic multipole fields and field parameters were defined. Theoretical calculation formulas of field parameters of magnetic multipole field were obtained for saddle coils with the Biot-Savart law and the magnitudes of field parameter were analyzed. The rules of calculating field parameters and the high order derivatives of field parameters were also given. Our results may provide a theoretical basis for some applications of the magnetic multipole fields.

关 键 词：磁多极场 场参数 马鞍型线圈 

分 类 号：O451[理学—无线电物理]