This paper presents the design and analysis of high‐index dielectric metasurfaces based on Fano resonance for image processing applications. With the aim of optical edge detection, two different metasurface structures are proposed to create first‐ and second‐order derivative operators. The metasurfaces designed for second‐order derivative is a square lattice structure consisting of silicon cylinders surrounded by a silicon dioxide layer. Moreover, another metasurface with a square lattice structure composed of three different silicon cylinders embedded in a silicon dioxide layer is proposed to perform first‐order derivation. To achieve the best performance of the proposed metasurfaces in edge detection, the physical dimensions of the proposed structures are optimized by conducting parametric studies to reach the maximum available numerical aperture . Consequently, the second‐order derivative metasurface attains a numerical aperture with a magnitude , while the first‐order derivative metasurface achieves a numerical aperture of . Finally, the applicability of the proposed structures in optical edge detection is verified in the analog domain. The proposed metasurfaces provide high spatial resolution, high efficiency, and low dependence on the horizon angle, which pave the way for high‐quality image processing applications.

中文翻译：

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使用基于法诺共振的高折射率介电超表面进行图像处理

本文介绍了基于法诺共振的高折射率介电超表面的设计和分析，用于图像处理应用。为了光学边缘检测，提出了两种不同的超表面结构来创建一阶和二阶导数算子。为二阶导数设计的超表面是由二氧化硅层包围的硅圆柱体组成的方形晶格结构。此外，提出了另一种具有方形晶格结构的超表面，该超表面由嵌入二氧化硅层中的三个不同的硅圆柱体组成，以进行一阶推导。为了在边缘检测中实现所提出的超表面的最佳性能，通过进行参数研究来优化所提出的结构的物理尺寸，以达到最大可用数值孔径。因此，二阶导数超表面的数值孔径为 ，而一阶导数超表面的数值孔径为 。最后，在模拟域中验证了所提出的结构在光学边缘检测中的适用性。所提出的超表面提供了高空间分辨率、高效率和对水平角的低依赖性，这为高质量图像处理应用铺平了道路。