均匀电介质椭球内的极化场强的求解

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，必须附加一定条件才能成立。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三半轴a、b、c的变化趋势。

Solution the Polarization Field Strength inside Ellipsoid in a Homogeneous Dielectric

The solution of polarization field strength in ellipsoid and a homogeneous dielectric in condition of a constant external field is obtained with strict derivation and ellipsoidal coordinate. The conclusion that some textbooks given: the direction of polarization field strength with the direction of external field holds strict anti-parallel must be supplemented with additive certain conditions, otherwise it will not be correct. By means of the latticework and the step change calculation, the angle value of polarization vector with the external field is calculated and the changing situation about the angle value with the change of three half axes of ellipsoid is analysied.