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arXiv 2602.09647physics.app-ph
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场-材料耦合神经网络:一种无需先验知识和数据的逆问题求解器,用于提取太赫兹波段的复杂介电常数

Field-material coupled neural network: A novel prior-free and data-free inverse problem solver for extracting complex dielectric constant in terahertz band

Bundesanstalt für Materialforschung und -prüfung (BAM)(联邦材料研究与测试研究所);Department of Industrial and Information Engineering and Economics (DIIIE), University of L’Aquila(拉奎拉大学工业与信息技术工程及经济系);Faculty of Environmental and Technology Manufacturing, Technical University in Zvolen(兹沃伦技术大学环境与技术制造学院);Geology Division, School of Science and Technology (SST), Università degli Studi di Camerino(卡梅里诺大学科学与技术学院地质学部);Department of Electrical and Computer Engineering, Computer Vision and Systems Laboratory (CVSL), Laval University(拉瓦尔大学电气与计算机工程系计算机视觉与系统实验室)

Pengfei Zhu, Stefano Sfarra, Elena Pivarciova, Carlo Santulli, Xavier Maldague

AI总结:

本文提出了一种无需先验知识和数据的场-材料耦合神经网络,用于太赫兹波段复杂介电常数的高效提取。

摘要:

在太赫兹(THz)波段准确提取复杂介电常数对于材料表征和非破坏性评估至关重要,但仍然具有挑战性,因为电磁反问题的病态性质以及可靠参考数据的有限可用性。在本工作中,提出了一种场-材料耦合神经网络(FMCNN),直接从太赫兹测量中检索复杂介电常数。FMCNN由一个场神经网络和一个材料神经网络组成,通过频域麦克斯韦方程(以亥姆霍兹方程形式)强耦合,通过偏微分方程(PDE)和边界条件约束来强制物理规律。这种公式使先验知识和数据的反演成为可能,仅需测量测试数据作为输入。提取的介电常数通过与一维正入射模型和Drude-Lorentz模型的结果比较进行验证,在广泛的频率范围内显示出良好的一致性,特别是在0.2 THz以上。这些结果表明,FMCNN为太赫兹波段的材料参数提取提供了一种物理一致且数据高效的途径,为传统基于模型的方法提供了替代方案。

英文摘要:

Accurate extraction of the complex dielectric constant in the terahertz (THz) band is essential for material characterization and non-destructive evaluation yet remains challenging due to the ill-posed nature of electromagnetic inverse problems and the limited availability of reliable reference data. In this work, a field-material couple neural network (FMCNN) is proposed to retrieve the complex dielectric constant directly from THz measurements. The FMCNN consists of a field neural network and a material neural network that are strongly coupled through the frequency-domain Maxwell equations in the form of a Helmholtz equation, with the governing physics enforced by partial differential equation (PDE) and boundary condition constraints. This formulation enables prior-free and data-free inversion, requiring only measured test data as input. The extracted dielectric constants are validated by comparison with results from a one-dimensional normal-incidence model and the Drude-Lorentz model, showing good agreement over a broad frequency range, particularly above 0.2 THz. These results demonstrate that the FMCNN provides a physics-consistent and data-efficient approach for material parameter extraction in the THz band, offering an alternative to conventional model-based methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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