We present an intuitive and efficient method for modeling light propagation in layered isotropic and anisotropic media, which we call the Iterated Ray Method. Considering a single layer sandwiched between semi-infinite layers, the infinite reflected and transmitted rays are summed to obtain effective Fresnel coefficients for the center layer. Thus, the system can be represented as two semi-infinite layers with an effective boundary. The model is coupled to a recursive algorithm to describe an arbitrarily large layered system in the same way. It is numerically stable in the presence of evanescent waves and computationally efficient, both in terms of operation counts and vectorization. We demonstrate its importance for the optical analysis and optimization of layered media, such as those used in photo-addressable liquid crystal cells, thin-film coatings, and Bragg gratings, by measuring the refractive index and thickness of a thin azobenzene dye photo-alignment layer, PAAD-22E, on an indium tin oxide coated glass slide.

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具有各向异性薄膜的多层系统的高效散射模型

我们提出了一种用于建模层状各向同性和各向异性介质中光传播的直观有效方法，我们将其称为“迭代射线法”。考虑到夹在半无限层之间的单层，将无限反射和透射光线相加以获得中心层的有效菲涅耳系数。因此，该系统可以表示为具有有效边界的两个半无限层。该模型与递归算法耦合，以相同的方式描述任意大的分层系统。无论在操作计数还是矢量化方面，它在in逝波存在时在数值上都是稳定的，并且计算效率很高。我们证明了其对于分层介质（例如可光寻址液晶单元中使用的介质）的光学分析和优化的重要性，