论文标题
来自同质磁化圆柱瓷砖的磁场
The magnetic field from a homogeneously magnetized cylindrical tile
论文作者
论文摘要
发现了均质磁化圆柱瓷砖几何形状的磁场，即有限空心圆柱体的角部分。该场表示为描述问题的几何部分的张量场和列保持瓷砖磁化的柱矢量之间的产物。在瓷砖之外，张量与电磁张量相同。我们发现可以完全分析表达张量的四个组件，$ n_ {xy}，n_ {xz}，n_ {yz} $和$ n_ {zy} $，而$ n_ {xx}，n_ {yx}，n_ {yx}，n_ {y _ {yy {yyy} $ n_ {zz} $，包含必须进行数值评估的积分。当数值评估时，张量为对称。在开源磁性框架磁质中实现的发现溶液与圆柱瓷砖的磁通量密度的有限元计算之间的比较显示出极好的一致性。
The magnetic field of a homogeneously magnetized cylindrical tile geometry, i.e. an angular section of a finite hollow cylinder, is found. The field is expressed as the product between a tensor field describing the geometrical part of the problem and a column vector holding the magnetization of the tile. Outside the tile, the tensor is identical to the demagnetization tensor. We find that four components of the tensor, $N_{xy},N_{xz},N_{yz}$ and $N_{zy}$, can be expressed fully analytically, while the five remaining components, $N_{xx},N_{yx},N_{yy},N_{zx}$ and $N_{zz}$, contain integrals that have to be evaluated numerically. When evaluated numerically the tensor is symmetric. A comparison between the found solution, implemented in the open source magnetic framework MagTense, and a finite element calculation of the magnetic flux density of a cylindrical tile shows excellent agreement.
