均匀电介质椭球内极化场强研究  

Study of the Polarization Field Strength inside Ellipsoid in a Homogeneous Dielectric

作　　者：蒋明宇[1] 胡先权[1] 邓海[1] 

机构地区：[1]重庆师范大学物理系,重庆400047

出　　处：《重庆师范大学学报（自然科学版）》2004年第1期41-45,共5页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市教育委员会资助(编号:20010274)

摘　　要：采用椭球坐标经推导严格求出了均匀外电场中电介质椭球体内的极化场强,明确指出某些教科书关于椭球体内极化场强方向与外电场方向严格相反这一结论是不严谨的。通过采用网格计算方法与变步长相结合,计算了极化场强方向与外电场方向的方向夹角,并分析了该夹角随椭球体3个半轴a、b、c的变化趋势。The solution of polarization field strength in ellipsoid and a homogeneous dielectric in condition of a constant external field is obtained by strict derivation in the use of ellipsoidal coordination. Therefore we can point out that the conclusion in some textbooks that the direction of polarization field strength with the direction of external field holds strict anti-parallel is mistaken. By means of the latticework and the step change calculation, the angle value of polarization vector with the external field is calculated and the analysis of the change situation about the angle value with the change of three half axes a, b, c of ellipsoid is made.

关 键 词：电介质极化 极化场强 相对介电常数 椭球坐标系 网格计算方法 

分 类 号：O441.4[理学—电磁学]