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      High-efficiency, large-area, topology-optimized metasurfaces

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          Abstract

          Metasurfaces are ultrathin optical elements that are highly promising for constructing lightweight and compact optical systems. For their practical implementation, it is imperative to maximize the metasurface efficiency. Topology optimization provides a pathway for pushing the limits of metasurface efficiency; however, topology optimization methods have been limited to the design of microscale devices due to the extensive computational resources that are required. We introduce a new strategy for optimizing large-area metasurfaces in a computationally efficient manner. By stitching together individually optimized sections of the metasurface, we can reduce the computational complexity of the optimization from high-polynomial to linear. As a proof of concept, we design and experimentally demonstrate large-area, high-numerical-aperture silicon metasurface lenses with focusing efficiencies exceeding 90%. These concepts can be generalized to the design of multifunctional, broadband diffractive optical devices and will enable the implementation of large-area, high-performance metasurfaces in practical optical systems.

          Metasurfaces: Bigger and better ways to manipulate light

          A new strategy for designing and manufacturing ‘metasurfaces’ - surfaces patterned at scales below the wavelength of light - will allow wider exploration of their optical effects. The sub-wavelength patterning of ultra-thin metasurfaces manipulates electromagnetic waves, including visible light, for use in many applications including sophisticated optical systems, sensing applications and optical computing. Researchers in the USA and France, led by Jonathan Fan at Stanford University, devised a novel three-step process to optimally design, manufacture and then “stitch together” small metasurface sections to create larger scale structures. Previous size limitations due to the extensive computational resources required to design the surfaces were overcome by the step that combines smaller sections with optimized topology. The team demonstrated the power of their procedures by making large area silicon metasurfaces that can focus light with impressively high efficiency.

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          A broadband achromatic metalens for focusing and imaging in the visible

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            Inverse design in nanophotonics

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              Performing mathematical operations with metamaterials.

              We introduce the concept of metamaterial analog computing, based on suitably designed metamaterial blocks that can perform mathematical operations (such as spatial differentiation, integration, or convolution) on the profile of an impinging wave as it propagates through these blocks. Two approaches are presented to achieve such functionality: (i) subwavelength structured metascreens combined with graded-index waveguides and (ii) multilayered slabs designed to achieve a desired spatial Green's function. Both techniques offer the possibility of miniaturized, potentially integrable, wave-based computing systems that are thinner than conventional lens-based optical signal and data processors by several orders of magnitude.
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                Author and article information

                Contributors
                +650 723 0278 , jonfan@stanford.edu
                Journal
                Light Sci Appl
                Light Sci Appl
                Light, Science & Applications
                Nature Publishing Group UK (London )
                2095-5545
                2047-7538
                29 May 2019
                29 May 2019
                2019
                : 8
                : 48
                Affiliations
                [1 ]ISNI 0000000419368956, GRID grid.168010.e, Department of Electrical Engineering, , Stanford University, ; Stanford, CA 94305 USA
                [2 ]ISNI 0000000419368956, GRID grid.168010.e, Department of Applied Physics, , Stanford University, ; Stanford, CA 94305 USA
                [3 ]ISNI 0000000115480420, GRID grid.494717.8, Université Clermont Auvergne, Institut Pascal, BP 10448, ; F-63000 Clermont-Ferrand, France
                [4 ]ISNI 0000 0004 0638 6434, GRID grid.462221.1, CNRS, UMR 6602, Institut Pascal, ; F-63177 Aubière, France
                Author information
                http://orcid.org/0000-0002-9746-0112
                Article
                159
                10.1038/s41377-019-0159-5
                6538635
                31149333
                9a22f1ee-5ffe-4646-9b66-b0e090502b5d
                © The Author(s) 2019

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 9 December 2018
                : 30 April 2019
                : 5 May 2019
                Funding
                Funded by: FundRef https://doi.org/10.13039/100006831, United States Department of Defense | U.S. Air Force (United States Air Force);
                Award ID: FA9550-18-1-0070
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100000006, United States Department of Defense | United States Navy | Office of Naval Research (ONR);
                Award ID: N00014-16-1-2630
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100000008, David and Lucile Packard Foundation (David & Lucile Packard Foundation);
                Funded by: FundRef https://doi.org/10.13039/100000001, National Science Foundation (NSF);
                Funded by: FundRef https://doi.org/10.13039/100000005, U.S. Department of Defense (United States Department of Defense);
                Categories
                Article
                Custom metadata
                © The Author(s) 2019

                metamaterials,microresonators
                metamaterials, microresonators

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