Thickness bound for nonlocal wide-field-of-view metalenses.
Thickness bound for nonlocal wide-field-of-view metalenses.
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DOI：
10.1038/s41377-022-01038-6
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发表时间：
2022-12-01
影响因子：
19.4
通讯作者：
Hsu, Chia Wei
中科院分区：
文献类型：
--
作者：
Li, Shiyu;Hsu, Chia Wei
金属透镜是用光学超颖表面制成的平面透镜，有望实现更薄、更便宜、更好的成像系统。实现足够的角度视场（FOV）对于实现该目标至关重要，并且需要定制的入射角相关响应。在这里，我们表明，有一个内在的权衡之间实现所需的广角响应和减少设备的厚度。像无序介质中的记忆效应一样，这种厚度约束源于空间和角度之间的傅里叶变换对偶性。人们可以写下描述期望的角度相关响应的传输矩阵，将其转换为空间基础，其中可以通过横向扩展来量化其非局域性程度，并基于这种所需的横向扩展来确定最小器件厚度。这种方法是通用的。当应用于宽FOV镜头时，它预测作为FOV、透镜直径和数值孔径的函数的最小厚度。该边界是紧的，因为一些反向设计的多层元表面可以接近我们发现的最小厚度。这项工作提供了指导非局部元表面的设计，提出了一个新的框架，建立边界，并揭示了多通道系统中的角度多样性和空间足迹之间的关系。提出了一个基于传输矩阵的框架，建立在多通道系统中的角度多样性和空间足迹之间的内在联系，并推导出非局部元表面的厚度上的界限。
Metalenses—flat lenses made with optical metasurfaces—promise to enable thinner, cheaper, and better imaging systems. Achieving a sufficient angular field of view (FOV) is crucial toward that goal and requires a tailored incident-angle-dependent response. Here, we show that there is an intrinsic trade-off between achieving a desired broad-angle response and reducing the thickness of the device. Like the memory effect in disordered media, this thickness bound originates from the Fourier transform duality between space and angle. One can write down the transmission matrix describing the desired angle-dependent response, convert it to the spatial basis where its degree of nonlocality can be quantified through a lateral spreading, and determine the minimal device thickness based on such a required lateral spreading. This approach is general. When applied to wide-FOV lenses, it predicts the minimal thickness as a function of the FOV, lens diameter, and numerical aperture. The bound is tight, as some inverse-designed multi-layer metasurfaces can approach the minimal thickness we found. This work offers guidance for the design of nonlocal metasurfaces, proposes a new framework for establishing bounds, and reveals the relation between angular diversity and spatial footprint in multi-channel systems. A transmission-matrix-based framework is proposed to establish the intrinsic link between angular diversity and spatial footprint in multi-channel systems and to derive a bound on the thickness of nonlocal metasurfaces.
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影响因子：
3.8
作者：
Christiansen, Rasmus E.;Lin, Zin;Johnson, Steven G.
通讯作者：
Johnson, Steven G.
影响因子：
16.6
作者：
通讯作者：
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影响因子：
35
作者：
Arbabi, Amir;Arbabi, Ehsan;Faraon, Andrei
通讯作者：
Faraon, Andrei
影响因子：
7
作者：
Decker, Manuel;Chen, Wei Ting;Petschulat, Joerg
通讯作者：
Petschulat, Joerg
DOI：
10.1007/978-1-84800-155-8_7
发表时间：
2008-01-01
期刊：
RECENT ADVANCES IN LEARNING AND CONTROL
影响因子：
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作者：
Grant, Michael C.;Boyd, Stephen P.
通讯作者：
Boyd, Stephen P.