An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN

A two-way parabolic equation (2W-PE) method based on complex-valued neural networks (CVNNs) and a physics-informed neural network (PINN) is proposed to predict the spatial field in the environment of dielectric obstacles with high efficiency and accuracy. In the framework of the 2W-PE method, CVNNs...

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Main Authors: An-Qi Li, Cheng-You Yin, Qian-Qian Zhang, Han Liu
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2023/9485036
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author An-Qi Li
Cheng-You Yin
Qian-Qian Zhang
Han Liu
author_facet An-Qi Li
Cheng-You Yin
Qian-Qian Zhang
Han Liu
author_sort An-Qi Li
collection DOAJ
description A two-way parabolic equation (2W-PE) method based on complex-valued neural networks (CVNNs) and a physics-informed neural network (PINN) is proposed to predict the spatial field in the environment of dielectric obstacles with high efficiency and accuracy. In the framework of the 2W-PE method, CVNNs are used to calculate the lumped transmission field and the lumped reflection field considering the influence of the obstacle, thus avoiding the long calculation time caused by the internal multilayered reflection processes. The incident directions and field strength of the waves on the regional boundaries vary greatly with the propagation environment, so coefficients of the boundary conditions are obtained by using the PINN. Next, the training results are applied to the examples using the continuation method and compared with the numerical results of the method of moments (MoM). The proposed 2W-PE method has high computational accuracy and efficiency, which reflects the applicability of machine learning in solving the computational efficiency problem of radio wave propagation. Therefore, this study provides a very effective and reliable method for solving the spatial field in the obstacle environment.
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institution Kabale University
issn 1687-5877
language English
publishDate 2023-01-01
publisher Wiley
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series International Journal of Antennas and Propagation
spelling doaj-art-e57f3da39f4a410f8cba181e2973f1d52025-02-03T06:04:52ZengWileyInternational Journal of Antennas and Propagation1687-58772023-01-01202310.1155/2023/9485036An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINNAn-Qi Li0Cheng-You Yin1Qian-Qian Zhang2Han Liu3College of Electronic EngineeringCollege of Electronic EngineeringCollege of Electronic EngineeringCollege of Information and CommunicationA two-way parabolic equation (2W-PE) method based on complex-valued neural networks (CVNNs) and a physics-informed neural network (PINN) is proposed to predict the spatial field in the environment of dielectric obstacles with high efficiency and accuracy. In the framework of the 2W-PE method, CVNNs are used to calculate the lumped transmission field and the lumped reflection field considering the influence of the obstacle, thus avoiding the long calculation time caused by the internal multilayered reflection processes. The incident directions and field strength of the waves on the regional boundaries vary greatly with the propagation environment, so coefficients of the boundary conditions are obtained by using the PINN. Next, the training results are applied to the examples using the continuation method and compared with the numerical results of the method of moments (MoM). The proposed 2W-PE method has high computational accuracy and efficiency, which reflects the applicability of machine learning in solving the computational efficiency problem of radio wave propagation. Therefore, this study provides a very effective and reliable method for solving the spatial field in the obstacle environment.http://dx.doi.org/10.1155/2023/9485036
spellingShingle An-Qi Li
Cheng-You Yin
Qian-Qian Zhang
Han Liu
An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
International Journal of Antennas and Propagation
title An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
title_full An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
title_fullStr An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
title_full_unstemmed An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
title_short An Efficient and Accurate 2W-PE Method for Solving Spatial Field Strength Based on CVNN and PINN
title_sort efficient and accurate 2w pe method for solving spatial field strength based on cvnn and pinn
url http://dx.doi.org/10.1155/2023/9485036
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