Markel Vadim A
J Opt Soc Am A Opt Image Sci Vis. 2022 Apr 1;39(4):535-544. doi: 10.1364/JOSAA.450850.
In the third part of the tutorial, we develop a Maxwell Garnett approximation, which is applicable, in particular, to disordered random media with non-spherical inclusions and to multicomponent mixtures. We are especially interested in the case when the inclusions are non-spherical and randomly distributed and oriented in space, but the composite is isotropic on average. The effective medium formula applicable to such media cannot be obtained by direct generalization of the results that were derived in the first two parts of the tutorial. We show that the Maxwell Garnett effective medium approximation can be stated in a very general form. The results derived by us previously as well as a result applicable to the medium described above can be obtained as special cases of this general result.
在本教程的第三部分，我们推导了麦克斯韦-加内特近似，该近似尤其适用于具有非球形内含物的无序随机介质以及多组分混合物。我们特别感兴趣的情况是，内含物为非球形，且在空间中随机分布和取向，但复合材料总体上是各向同性的。适用于此类介质的有效介质公式无法通过直接推广本教程前两部分得出的结果而获得。我们表明，麦克斯韦-加内特有效介质近似可以用一种非常通用的形式表述。我们之前推导的结果以及适用于上述介质的一个结果都可以作为这个通用结果的特殊情况得到。
