Abstract Rapidly growing demands for high-performance computing, powerful data processing, and big data necessitate the advent of novel optical devices to perform demanding computing processes effectively. Due to its unprecedented growth in the past two decades, the field of meta-optics offers a viable solution for spatially, spectrally, and/or even temporally sculpting amplitude, phase, polarization, and/or dispersion of optical wavefronts. In this review, we discuss state-of-the-art developments, as well as emerging trends, in computational metastructures as disruptive platforms for spatial optical analog computation. Two fundamental approaches based on general concepts of spatial Fourier transformation and Green’s function (GF) are discussed in detail. Moreover, numerical investigations and experimental demonstrations of computational optical surfaces and metastructures for solving a diverse set of mathematical problems (e.g., integrodifferentiation and convolution equations) necessary for on-demand information processing (e.g., edge detection) are reviewed. Finally, we explore the current challenges and the potential resolutions in computational meta-optics followed by our perspective on future research directions and possible developments in this promising area.

中文翻译：

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用于空间光学模拟计算的元光学

摘要 对高性能计算、强大数据处理和大数据的快速增长的需求需要新型光学设备的出现来有效地执行苛刻的计算过程。由于过去二十年的空前发展，元光学领域为空间、光谱和/或什至时间雕刻光波前的振幅、相位、偏振和/或色散提供了可行的解决方案。在这篇综述中，我们讨论了计算元结构作为空间光学模拟计算的破坏性平台的最新发展以及新兴趋势。详细讨论了基于空间傅立叶变换和格林函数 (GF) 的一般概念的两种基本方法。而且，回顾了计算光学表面和元结构的数值研究和实验演示，用于解决按需信息处理（例如，边缘检测）所需的各种数学问题（例如，积分微分和卷积方程）。最后，我们探讨了计算元光学中当前的挑战和潜在的解决方案，然后是我们对这个有前途领域的未来研究方向和可能发展的看法。