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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 of the magnetic multipole field, the Taylor series expansions of the magnetic field components of the magnetic multipole field are first derived, and the field parameters of the magnetic multipole field are defined. Then according to the Biot-Savart law, the saddle type magnetic Multi-pole field coil field parameters of the theoretical formula.Analyzed the size of each field parameters, to find out the recursion law of the field parameters, given the high-order derivative of the field parameters of the calculation method, which can accurately calculate the entire space Of magnetic field values, and also the transition from simple single-conductor calculations to multiple conductors or to some sort of continuous distribution, which provides a sound theory of magnetic dipole fields, magnetic quadrupole fields, magnetic six-pole fields, etc. in accordance with.