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Clini de Souza A, Lanteri S, Hernández-Figueroa HE, Abbarchi M, Grosso D, Kerzabi B, Elsawy M. Back-propagation optimization and multi-valued artificial neural networks for highly vivid structural color filter metasurfaces. Sci Rep 2023; 13:21352. [PMID: 38049444 PMCID: PMC10695957 DOI: 10.1038/s41598-023-48064-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2023] [Accepted: 11/22/2023] [Indexed: 12/06/2023] Open
Abstract
We introduce a novel technique for designing color filter metasurfaces using a data-driven approach based on deep learning. Our innovative approach employs inverse design principles to identify highly efficient designs that outperform all the configurations in the dataset, which consists of 585 distinct geometries solely. By combining Multi-Valued Artificial Neural Networks and back-propagation optimization, we overcome the limitations of previous approaches, such as poor performance due to extrapolation and undesired local minima. Consequently, we successfully create reliable and highly efficient configurations for metasurface color filters capable of producing exceptionally vivid colors that go beyond the sRGB gamut. Furthermore, our deep learning technique can be extended to design various pixellated metasurface configurations with different functionalities.
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Affiliation(s)
- Arthur Clini de Souza
- Université Côte d'Azur, Inria, CNRS, LJAD, 06902, Sophia Antipolis Cedex, France
- Laboratory of Applied and Computational Electromagnetism (LEMAC), School of Electrical and Computer Engineering (FEEC), University of Campinas (UNICAMP) Campinas, São Paulo, Brazil
- Solnil, 95 Rue de la République, 13002, Marseille, France
| | - Stéphane Lanteri
- Université Côte d'Azur, Inria, CNRS, LJAD, 06902, Sophia Antipolis Cedex, France
| | - Hugo Enrique Hernández-Figueroa
- Laboratory of Applied and Computational Electromagnetism (LEMAC), School of Electrical and Computer Engineering (FEEC), University of Campinas (UNICAMP) Campinas, São Paulo, Brazil
| | - Marco Abbarchi
- Solnil, 95 Rue de la République, 13002, Marseille, France
- Université Aix Marseille, CNRS, Université de Toulon, IM2NP, UMR 7334, F-13397, Marseille, France
| | - David Grosso
- Solnil, 95 Rue de la République, 13002, Marseille, France
- Université Aix Marseille, CNRS, Université de Toulon, IM2NP, UMR 7334, F-13397, Marseille, France
| | - Badre Kerzabi
- Solnil, 95 Rue de la République, 13002, Marseille, France
| | - Mahmoud Elsawy
- Université Côte d'Azur, Inria, CNRS, LJAD, 06902, Sophia Antipolis Cedex, France.
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