带壳椭球颗粒复合介质的部分共振现象

Partial Resonance in Granular Composite of Core-shell Structured Ellipsoids

通过引入椭球坐标系,利用拉普拉斯方程及其边界条件,求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布,并进一步得出了带壳椭球颗粒的部分共振条件.当椭球核的介电常数与椭球形壳层介电常数之间满足部分共振条件时,其核的介电性质可以扩展到壳层范围因而得到放大.椭球部分共振条件与核内及壳层的介电常数以及椭球形状因子有关.当形状因子为1/3时,可以得到球形带壳颗粒的部分共振条件.

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid. When the dielectric constants of the core and the shell satisfy the partially resonant condition, the core＇s dielectric property can be extended to the shell region. The partially resonant condition is related to the dielectric constants of the core and the shell and the depolarization factor. When the depolarization factor is equal to 1/3, the partially resonant condition of a coated sphere is obtained.