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Inverse design of structural color: Finding multiple solutions via conditional generative adversarial networks

Inverse design of structural color: Finding multiple solutions via conditional generative adversarial networks
Inverse design of structural color: Finding multiple solutions via conditional generative adversarial networks
The “one-to-many” problem is a typical challenge that faced by many machine learning aided inverse nanophotonics designs where one target optical response can be achieved by many solutions (designs). Although novel training approaches, such as tandem network, and network architecture, such as the mixture density model, have been proposed, the critical problem of solution degeneracy still exists where some possible solutions or solution spaces are discarded or unreachable during the network training process. Here, we report a solution to the “one-to-many” problem by employing a conditional generative adversarial network (cGAN) that enables generating sets of multiple solution groups to a design problem. Using the inverse design of a transmissive Fabry-Pérot-cavity-based color filter as an example, our model demonstrates the capability of generating an average number of 3.58 solution groups for each color. These multiple solutions allow the selection of the best design for each color which results in a record high accuracy with an average index color difference ΔE of 0.44. The capability of identifying multiple solution groups can benefit the design manufacturing to allow more viable designs for fabrication. The capability of our cGAN is verified experimentally by inversely designing the RGB color filters. We envisage this cGAN-based design methodology can be applied to other nanophotonic structures or physical science domains where the identification of multi-solution across a vast parameter space is required.
Fabry-Pérot cavity, deep learning, generative adversarial networks, inverse design, one-to-many problem, structural color
3057-3069
Dai, Peng
1150a00a-e54b-438b-bf51-4e8521c07f66
Sun, Kai
b7c648a3-7be8-4613-9d4d-1bf937fb487b
Yan, Xingzhao
e1f3f636-74e4-42d5-81c7-04feec2b85ba
Muskens, Otto
2284101a-f9ef-4d79-8951-a6cda5bfc7f9
De Groot, Kees
92cd2e02-fcc4-43da-8816-c86f966be90c
Zhu, Xupeng
e4198221-2dee-49a8-be47-80f7291d5b9f
Hu, Yueqiang
0194aaab-f90c-4aa1-a97e-65843499b26e
Duan, Huigao
f26e2028-5fdb-4d42-8054-3c07ddd5325d
Huang, Ruomeng
c6187811-ef2f-4437-8333-595c0d6ac978
Dai, Peng
1150a00a-e54b-438b-bf51-4e8521c07f66
Sun, Kai
b7c648a3-7be8-4613-9d4d-1bf937fb487b
Yan, Xingzhao
e1f3f636-74e4-42d5-81c7-04feec2b85ba
Muskens, Otto
2284101a-f9ef-4d79-8951-a6cda5bfc7f9
De Groot, Kees
92cd2e02-fcc4-43da-8816-c86f966be90c
Zhu, Xupeng
e4198221-2dee-49a8-be47-80f7291d5b9f
Hu, Yueqiang
0194aaab-f90c-4aa1-a97e-65843499b26e
Duan, Huigao
f26e2028-5fdb-4d42-8054-3c07ddd5325d
Huang, Ruomeng
c6187811-ef2f-4437-8333-595c0d6ac978

Dai, Peng, Sun, Kai, Yan, Xingzhao, Muskens, Otto, De Groot, Kees, Zhu, Xupeng, Hu, Yueqiang, Duan, Huigao and Huang, Ruomeng (2022) Inverse design of structural color: Finding multiple solutions via conditional generative adversarial networks. Nanophotonics, 11 (13), 3057-3069. (doi:10.1515/nanoph-2022-0095).

Record type: Article

Abstract

The “one-to-many” problem is a typical challenge that faced by many machine learning aided inverse nanophotonics designs where one target optical response can be achieved by many solutions (designs). Although novel training approaches, such as tandem network, and network architecture, such as the mixture density model, have been proposed, the critical problem of solution degeneracy still exists where some possible solutions or solution spaces are discarded or unreachable during the network training process. Here, we report a solution to the “one-to-many” problem by employing a conditional generative adversarial network (cGAN) that enables generating sets of multiple solution groups to a design problem. Using the inverse design of a transmissive Fabry-Pérot-cavity-based color filter as an example, our model demonstrates the capability of generating an average number of 3.58 solution groups for each color. These multiple solutions allow the selection of the best design for each color which results in a record high accuracy with an average index color difference ΔE of 0.44. The capability of identifying multiple solution groups can benefit the design manufacturing to allow more viable designs for fabrication. The capability of our cGAN is verified experimentally by inversely designing the RGB color filters. We envisage this cGAN-based design methodology can be applied to other nanophotonic structures or physical science domains where the identification of multi-solution across a vast parameter space is required.

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Inverse Design of Structural Color Finding Multiple Solutions via Conditional Generative Adversarial Networks - Accepted Manuscript
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More information

Submitted date: 21 February 2022
Accepted/In Press date: 2 May 2022
e-pub ahead of print date: 16 May 2022
Published date: 15 June 2022
Additional Information: Funding Information: Research funding: The authors acknowledge the support of the International Exchange Scheme (IEC/NSFC/170193) between Royal Society (UK) and the National Natural Science Foundation of China (China). This work is a part of the ADEPT project funded by a program grant from the EPSRC (EP/N035437/1). All data supporting this study are openly available from the University of Southampton repository at https://doi.org/10.5258/SOTON/D2182 . Publisher Copyright: © 2022 Peng Dai et al., published by De Gruyter, Berlin/Boston.
Keywords: Fabry-Pérot cavity, deep learning, generative adversarial networks, inverse design, one-to-many problem, structural color

Identifiers

Local EPrints ID: 457322
URI: http://eprints.soton.ac.uk/id/eprint/457322
PURE UUID: 83e3e3ac-4c3e-4406-8fda-b38ee41a54db
ORCID for Peng Dai: ORCID iD orcid.org/0000-0002-5973-9155
ORCID for Otto Muskens: ORCID iD orcid.org/0000-0003-0693-5504
ORCID for Kees De Groot: ORCID iD orcid.org/0000-0002-3850-7101
ORCID for Ruomeng Huang: ORCID iD orcid.org/0000-0003-1185-635X

Catalogue record

Date deposited: 01 Jun 2022 16:37
Last modified: 17 Mar 2024 03:59

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Contributors

Author: Peng Dai ORCID iD
Author: Kai Sun
Author: Xingzhao Yan
Author: Otto Muskens ORCID iD
Author: Kees De Groot ORCID iD
Author: Xupeng Zhu
Author: Yueqiang Hu
Author: Huigao Duan
Author: Ruomeng Huang ORCID iD

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