Abstract—

We consider the direct problem of magnetostatics of calculating the strength of the resulting magnetic field of a uniform cylinder of finite dimensions placed in an external magnetic field of arbitrary configuration. With the help of rather lengthy analytical transformations using the basic properties of hypergeometric and Legendre functions, the solution of the basic three-dimensional magnetostatic equation for this configuration is reduced to solving a number of systems of three one-dimensional linear integral equations. A simplified form of these systems is obtained for the special cases of a constant external field and the resulting field on the cylinder axis.

中文翻译：

---

任意外场有限圆柱静磁基本方程数值解的一种方法

摘要——

我们考虑静磁学的直接问题，即计算放置在任意配置的外部磁场中的有限尺寸的均匀圆柱体的最终磁场强度。在使用超几何和勒让德函数的基本性质的相当冗长的解析变换的帮助下，此配置的基本三维静磁方程的解被简化为解三个一维线性积分方程的多个系统。对于恒定外场和圆柱轴上的结果场的特殊情况，获得了这些系统的简化形式。