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在外磁场作用下,复合介质的法拉第磁光效应依赖于颗粒膜电介质张量。而复合介质的电介质张量的计算相当复杂。运用了有效介质近似理论,利用非均匀复合介质的有效电场等于单个颗粒中局域场的平均值的自恰条件,由电介质张量eε方程及自洽条件导出了计算磁性颗粒膜系统磁光法拉第转角的解析公式。并应用导出的关系,以Cu金属颗粒为例,讨论了颗粒膜中金属颗粒含量及对应的基质、离子浓度、颗粒形状对法拉第转角的影响,结果表明,利用有效介质近似理论计算的结果与实验结果一致。
Under the action of external magnetic field, the Faraday magneto-optic effect of the composite medium depends on the granular dielectric tensor. The calculation of the dielectric tensor of the composite medium is rather complicated. The effective medium approximation theory is used. By using the self-consistent condition that the effective electric field of the heterogeneous composite medium is equal to the average value of the local field in a single particle, the magneto-optical Faraday Angle of the analytical formula. The relationship between the particle size and the matrix, ion concentration and particle shape on the Faraday rotation angle was discussed with Cu metal particles as an example. The results show that using the effective medium approximation theory and experiment The result is the same.