In this paper transmittance predictions based on residual pore scattering in transparent ceramics with cubic crystallites via Mie theory and its approximations (Rayleigh, Fraunhofer, van de Hulst and Rayleigh-Gans, including the small- and large-size limits) are recalled and systematically compared. Due to the high phase contrast, the difference between different types of ceramics is of secondary importance, so that the essential conclusions are of general validity for all types of transparent ceramics. It is shown that the Rayleigh-Gans approximation and its large-size limit provide surprisingly good transmittance predictions, although it has not often been used in the ceramic literature. The main conclusion of this paper is that, of all the approximations presented here and used in ceramic science so far, the van de Hulst approximation is the one that most closely approaches the exact Mie results, although it has been largely ignored in the literature on transparent ceramics so far.

在本文中，回顾并基于米氏理论及其近似值（瑞利，弗劳恩霍夫，范德赫斯特和瑞利-甘斯，包括小尺寸和大尺寸限值）对基于立方微晶透明陶瓷中残留孔散射的透射率预测进行了回顾，并进行了系统比较。由于高的相衬度，不同类型的陶瓷之间的差异具有次要的重要性，因此基本结论对于所有类型的透明陶瓷都是普遍有效的。结果表明，尽管在陶瓷文献中并不经常使用瑞利-甘斯近似值及其较大的极限值，但仍可提供令人惊讶的良好透射率预测。本文的主要结论是，到目前为止，本文提出并用于陶瓷科学的所有近似值中，