磁各向异性介质中磁导率张量表示的毕-萨定律及应用  

Biot-Savart law with permeability tensor representation in magnetic anisotropy and its application

作　　者：李文略[1] 

机构地区：[1]湛江师范学院基础教育学院,广东湛江524037

出　　处：《南阳师范学院学报》2015年第9期19-22,78,共5页Journal of Nanyang Normal University

摘　　要：在磁各向异性介质中直角坐标系下的毕-萨定律的基础上,写出用介电常数张量表示的毕-萨定律,进而应用张量分析的矩阵方法得到毕-萨定律的极坐标形式以及在柱面坐标系下计算无限长通电直导线的磁感应强度,得出磁导率张量和余子式张量的坐标系不变性,这有助于加深对磁各向异性介质磁导属性的理解.Biot-Savart law with permeability tensor representation will be obtained based on the specific expres- sions of Biot-Savart law in magnetic anisotropy in the Descartes coordinate system. And then, polar coordinate form of Biot-Savart law and the magnetic induction intensity of infinite long straight conductor of electricity in cy- lindrical coordinates will be obtained by the matrix method of tensor analysis. The coordinate invarianee of per- meability tensor and cofactor tensor can be discovered,which will help to understand the permeability properties of magnetic anisotropy deeply.

关 键 词：磁各向异性介质 磁导率张量 毕-萨定律 张量分析 矩阵 

分 类 号：O441.4[理学—电磁学]