A residual fully convolutional network (Res-FCN) for electromagnetic inversion of high contrast scatterers at an arbitrary frequency within a wide frequency band

IF 2 2区 数学 Q1 MATHEMATICS, APPLIED
Hao-Jie Hu, Jiawen Li, Li-Ye Xiao, Yu Cheng, Qing Huo Liu
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引用次数: 0

Abstract

Many successful machine learning methods have been developed for electromagnetic inverse scattering problems. However, so far, their inversion has been performed only at the specifically trained frequencies. To make the machine learning based inversion method more generalizable for realistic engineering applications, this work proposes a residual fully convolutional network (Res-FCN) to perform EM inversion of high contrast scatterers at an arbitrary frequency within a wide frequency band. The proposed Res-FCN combines the advantages of the Res-Net and the fully convolutional network (FCN). Res-FCN consists of an encoder and a decoder: the encoder is employed to extract high-dimensional features from the measured scattered field through the residual frameworks, while the decoder is employed to map from the high-dimensional features extracted by the encoder to the electrical parameter distribution in the inversion region by the up-sample layer and the residual frameworks. Four numerical examples verify that the proposed Res-FCN can achieve good performance in the 2-D EM inversion problem for high contrast scatterers with anti-noise ability at an arbitrary frequency point within a wide frequency band.
用于宽频带内任意频率高对比度散射体电磁反演的残差全卷积网络 (Res-FCN)
针对电磁反向散射问题,已经开发出许多成功的机器学习方法。然而,迄今为止,它们的反演仅在特定训练频率下进行。为了使基于机器学习的反演方法在实际工程应用中更具通用性,本研究提出了一种残差全卷积网络(Res-FCN),用于在宽频带内的任意频率上对高对比度散射体进行电磁反演。所提出的残差全卷积网络(Res-FCN)结合了残差网络和全卷积网络(FCN)的优点。Res-FCN 由编码器和解码器组成:编码器通过残差框架从测量散射场中提取高维特征,而解码器则通过上采样层和残差框架将编码器提取的高维特征映射到反演区域的电参数分布。四个数值示例验证了所提出的 Res-FCN 能够在宽频带内任意频率点对具有抗噪能力的高对比度散射体的二维电磁反演问题中取得良好的性能。
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来源期刊
Inverse Problems
Inverse Problems 数学-物理:数学物理
CiteScore
4.40
自引率
14.30%
发文量
115
审稿时长
2.3 months
期刊介绍: An interdisciplinary journal combining mathematical and experimental papers on inverse problems with theoretical, numerical and practical approaches to their solution. As well as applied mathematicians, physical scientists and engineers, the readership includes those working in geophysics, radar, optics, biology, acoustics, communication theory, signal processing and imaging, among others. The emphasis is on publishing original contributions to methods of solving mathematical, physical and applied problems. To be publishable in this journal, papers must meet the highest standards of scientific quality, contain significant and original new science and should present substantial advancement in the field. Due to the broad scope of the journal, we require that authors provide sufficient introductory material to appeal to the wide readership and that articles which are not explicitly applied include a discussion of possible applications.
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