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基于电磁场平均的概念,利用Maxwell-Garnett有效介质理论对含有椭球形掺杂物的混合粒子等效光学常数进行研究,分析了掺杂物形状比例参数和体积分数对混合粒子等效光学常数的影响.结果表明:掺杂物形状比例参数存在一个临界值,当形状比例参数小于临界值时,随着形状比例参数增加,含椭球形掺杂物的混合粒子等效光学常数与含球形掺杂物的混合粒子等效光学常数的差别增大;反之,形状比例参数对混合粒子等效光学常数的影响非常小.混合粒子的等效光学常数介于基体和掺杂物的光学常数之间,当掺杂物的体积分数增大时,混合粒子的等效光学常数趋向于掺杂物的光学常数.
Based on the concept of electromagnetic field averaging, Maxwell-Garnett effective medium theory is used to study the equivalent optical constants of mixed particles with ellipsoidal inclusions. The effect of dopant shape ratio parameters and volume fraction on the equivalent optical constants of mixed particles is analyzed. The results show that there is a critical value for the shape parameter of the dopant, and when the shape parameter is smaller than the critical value, the equivalent optical constants of the hybrid particle with the ellipsoidal dopant increase with the increase of the shape parameter, The equivalent optical constants of the mixed particles increase. On the contrary, the shape parameters have little influence on the equivalent optical constants of the mixed particles. The equivalent optical constants of the hybrid particles are between the optical constants of the matrix and the dopant. As the volume fraction of dopant increases, the equivalent optical constants of the hybrid particles tend to be the optical constants of the dopant.