非均匀介质球颗粒的等效介电常量  

Equivalent dielectric constant of inhomogeneous dielectric spherical particle

作　　者：桑芝芳[1] 李振亚[1] 

机构地区：[1]苏州大学物理科学与技术学院,江苏苏州215006

出　　处：《大学物理》2005年第2期34-37,共4页College Physics

基　　金：国家自然科学基金资助项目(10174049)

摘　　要：从求解拉普拉斯方程的边值问题出发,讨论了非均匀介质球颗粒的等效介电常量,给出了多种介质组成的多壳层介质球颗粒的等效介电常量的一般递推公式,推导了壳层的介电常量随半径连续变化的梯度介质球的等效介电常量的微分方程.并以壳层的介电常量为幂函数为例,得到了梯度壳层介质球的等效介电常量.From the solution of Laplace equation under the boundary conditions,the equivalent dielectric constant of inhomogeneous dielectric spherical particle embedded in a matrix is investigated. The general formulas of equivalent dielectric constant of multi-shell dielectric sphere are given.The differential equation of equivalent dielectric constant of dielectric sphere with graded shell,whose dielectric constant varies with radius is derived. As an example,the equivalent dielectric constant of inhomogeneous dielectric sphere, whose shell has power-law gradation profile is obtained.

关 键 词：非均匀介质球 梯度介质球 等效介电常量 等效系数 

分 类 号：O444[理学—电磁学]