利用强化偶极子模型计算混合体局部电场

Calculations of Local Electric Field in a Mixture by the Modified Dipole-enhanced Approximation

针对高体积分数颗粒组成的混合体局部电场计算问题,为了解改进后的强化偶极子模型的计算的结果,用该模型计算了混合体局部电场,并和有限元法和点电偶极子模型法计算结果进行了比较。计算表明介电差异较小时,3种方法计算的结果差异不大,只是点电偶极子模型在强场区域误差稍大;在介电差异较大时,改进后的强化偶极子模型虽在颗粒表面弱场区域吻合得不是很好,但在大部分区域,特别是强场区域仍和有限元计算的结果吻合得较好,但点电偶极子模型计算结果的误差则明显加大。由此证明改进后的强化偶极子模型计算局部电场简单可行。

This paper presents a modified dipole-enhanced approximation to calculate the local electric field in a mixture of high volume fraction of sphere particles. The results are compared with those obtained through the finite-element method and dipole model method. When there is a small dielectric mismatch between the particles and the environment, there is not an obvious difference among these methods, except the dipole approximation in the area of the maximum electric field strength. When the dielectric mismatch is large, the calculated results of the modified dipoleenhanced approximation are not very good at the surface of the sphere, but is fairly good in the most part of the area, especially in the area of the maximum electric field strength, the dipole approximation breaks down in the entire field. It means that the modified dipole-enhanced approximation is simple and acceptable.