The stripe of the tropical freshwater fish “neon tetra” consists of many iridophores, in which tilted reflecting platelets are periodically arranged. The neon tetra has structural coloration and changes the color of a stripe in response to the surrounding conditions. The mechanism of the color change is thought to be controlling a slant angle of the platelets and changing the spacing between the platelets. This paper considers a slanted dielectric grating modeled on an iridophore of neon tetra, and formulates the matrix eigenvalues method as an analytical method for the three-dimensional scattering problem of a slanted grating having a grating vector. Calculating the reflection spectrum using the matrix eigenvalues method, the chromatic coordinates in standard red-green-blue color space, and the $xy$ chromaticity coordinates for a slanted grating, it is shown that the color changes depending on the slant angles numerically.

中文翻译：

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倾斜介质光栅对结构着色的三维分析

热带淡水鱼“霓虹灯”的条纹由许多虹膜组成，其中周期性排列倾斜的反射血小板。霓虹灯四边形具有结构着色，并根据周围条件改变条纹的颜色。人们认为变色的机理是控制血小板的倾斜角并改变血小板之间的间隔。本文考虑了一个以霓虹四面体虹膜为模型的倾斜介质光栅，并提出了矩阵特征值方法作为具有光栅矢量的倾斜光栅三维散射问题的解析方法。使用矩阵特征值方法，标准红绿蓝颜色空间中的色坐标和$ xy $计算反射光谱 倾斜光栅的色度坐标，表明颜色随倾斜角度的变化而变化。