Fundamental limits and design principles of doublet metalenses
Fundamental limits and design principles of doublet metalenses
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DOI：
10.1515/nanoph-2021-0770
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发表时间：
2022-02
期刊：
影响因子：
7.5
通讯作者：
A. Martins;Juntao Li;B. Borges;T. Krauss;E. Martins
中科院分区：
文献类型：
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作者：
A. Martins;Juntao Li;B. Borges;T. Krauss;E. Martins
摘要金属透镜是一种具有巨大潜力的纳米结构表面，可用于提供小型化和集成化的光学系统。超透镜的一个关键特性是，通过使用双层配置或双合透镜，它们可以实现衍射极限分辨率和宽视场成像。然而，这种双重系统的物理操作和限制仍然没有完全理解，并且设计仍然基于相位分布的数值优化。在这里，我们展示了双重系统的基本限制，并提供了一个通用的设计策略，而无需诉诸数值优化。我们发现的焦距和间隔层厚度之间的分析关系，我们确定的物理原理的性能限制，并获得作为分辨率（数值孔径）的函数的视场的普遍依赖性。我们的研究结果将使研究人员能够欣赏的分辨率和视场的制度，可用于特定的应用程序，以确定最佳性能的条件（如所需的间隔厚度），并方便地设计双峰，而不需要诉诸数值优化。
Abstract Metalenses are nanostructured surfaces with great potential for delivering miniaturized and integrated optical systems. A key property of metalenses is that, by using a double layer configuration, or doublet, they can achieve both diffraction-limited resolution and wide field-of-view imaging. The physical operation and limitations of such doublet systems, however, are still not fully understood, and designs are still based on numerical optimization of the phase profiles. Here, we show the fundamental limits of doublet systems and provide a universal design strategy without any need to resort to numerical optimization. We find an analytical relationship between the focal length and the spacer thickness; we identify the physical principles underlying the limitations on performance and obtain a universal dependence of the field of view as a function of resolution (numerical aperture). Our results will allow researchers to appreciate the regimes of resolution and field of view that are accessible for specific applications, to identify the conditions for optimum performance (such as required spacer thickness), and to conveniently design doublets without needing to resort to numerical optimizations.