Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes

In this study, an artificial neural network that can predict the band structure of 2-D photonic crystals is developed. Three kinds of photonic crystals in a square lattice, triangular lattice, and honeycomb lattice and two kinds of materials with different refractive indices are investigated. Using...

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Main Authors: Fu-Li Hsiao, Hsin-Feng Lee, Su-Chao Wang, Yu-Ming Weng, Ying-Pin Tsai
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/8/1777
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author Fu-Li Hsiao
Hsin-Feng Lee
Su-Chao Wang
Yu-Ming Weng
Ying-Pin Tsai
author_facet Fu-Li Hsiao
Hsin-Feng Lee
Su-Chao Wang
Yu-Ming Weng
Ying-Pin Tsai
author_sort Fu-Li Hsiao
collection DOAJ
description In this study, an artificial neural network that can predict the band structure of 2-D photonic crystals is developed. Three kinds of photonic crystals in a square lattice, triangular lattice, and honeycomb lattice and two kinds of materials with different refractive indices are investigated. Using the length of the wave vectors in the reduced Brillouin zone, band number, r/a ratio, and the refractive indices as the dataset, the desired ANN is trained to predict the eigenfrequencies of the photonic modes and depict the photonic band structures with a correlation coefficient greater than 0.99. By increasing the number of neurons in the hidden layer, the correlation coefficient can be further increased over 0.999.
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spelling doaj.art-2bec20e113bc4a5ab6fc0c6be11f9f9e2023-11-17T19:00:45ZengMDPI AGElectronics2079-92922023-04-01128177710.3390/electronics12081777Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive IndexesFu-Li Hsiao0Hsin-Feng Lee1Su-Chao Wang2Yu-Ming Weng3Ying-Pin Tsai4Institute of Photonics, National Changhua University of Education, Changhua 50007, TaiwanInstitute of Photonics, National Changhua University of Education, Changhua 50007, TaiwanInstitute of Photonics, National Changhua University of Education, Changhua 50007, TaiwanInstitute of Photonics, National Changhua University of Education, Changhua 50007, TaiwanInstitute of Imaging and Biomedical Photonics, College of Photonics, National Yang Ming Chiao Tung University, Tainan 71150, TaiwanIn this study, an artificial neural network that can predict the band structure of 2-D photonic crystals is developed. Three kinds of photonic crystals in a square lattice, triangular lattice, and honeycomb lattice and two kinds of materials with different refractive indices are investigated. Using the length of the wave vectors in the reduced Brillouin zone, band number, r/a ratio, and the refractive indices as the dataset, the desired ANN is trained to predict the eigenfrequencies of the photonic modes and depict the photonic band structures with a correlation coefficient greater than 0.99. By increasing the number of neurons in the hidden layer, the correlation coefficient can be further increased over 0.999.https://www.mdpi.com/2079-9292/12/8/1777photonic crystalartificial neural networkband structure
spellingShingle Fu-Li Hsiao
Hsin-Feng Lee
Su-Chao Wang
Yu-Ming Weng
Ying-Pin Tsai
Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
Electronics
photonic crystal
artificial neural network
band structure
title Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
title_full Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
title_fullStr Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
title_full_unstemmed Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
title_short Artificial Neural Network for Photonic Crystal Band Structure Prediction in Different Geometric Parameters and Refractive Indexes
title_sort artificial neural network for photonic crystal band structure prediction in different geometric parameters and refractive indexes
topic photonic crystal
artificial neural network
band structure
url https://www.mdpi.com/2079-9292/12/8/1777
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