Thin-film all-dielectric Fabry–Perot filters can nowadays be patterned onto pixels of commercial imaging sensors used for spectral imaging. For these patterned filters, standard transfer-matrix thin-film calculations fail to predict their angular dependency. This Letter attributes the discrepancy to the finite filter size and is also, to my knowledge, the first study to analyze this for patterned all-dielectric Fabry–Perot filters. An angular spectrum approach that enables prediction without full knowledge of the filter design is introduced. In addition, the contribution of diffraction at normal incidence is characterized by a single dimensionless parameter. Knowing that patterned filter size matters and having a method to efficiently simulate its effect can guide ongoing miniaturization efforts and filter design.

中文翻译：

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滤光片宽度影响图案化全介电法布里-珀罗滤光片的透射率

薄膜全介电法布里-珀罗滤光片现在可以图案化到用于光谱成像的商业成像传感器的像素上。对于这些图案化滤波器，标准传递矩阵薄膜计算无法预测它们的角度依赖性。这封信将差异归因于有限的滤波器尺寸，据我所知，这也是第一项针对图案化全介电 Fabry-Perot 滤波器分析此问题的研究。引入了一种角谱方法，该方法可以在不完全了解滤波器设计的情况下进行预测。此外，法向入射衍射的贡献由单个无量纲参数表征。了解图案化滤波器尺寸很重要并拥有一种有效模拟其效果的方法可以指导正在进行的小型化工作和滤波器设计。