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Deep-Learning-Based Metasurface Design Method Considering Near-Field Couplings 考虑近场耦合的基于深度学习的元表面设计方法
IF 2.3 Q1 Mathematics Pub Date : 2023-01-17 DOI: 10.1109/JMMCT.2023.3237699
Mengmeng Li;Yuchenxi Zhang;Zixuan Ma
Planar metasurfaces have been applied in several fields. Near-field coupling is typically neglected in traditional metasurface designs. A numerical modeling method for macrocells that considers near-field couplings between meta-atoms is proposed. A deep neural network (DNN) is constructed to accurately predict the electromagnetic response from different macrocells. Transfer learning is employed to reduce the number of the training datasets. The designed neural network is embedded in the optimization algorithm as an effective surrogate model. Both the deflector and high numerical aperture (NA) metalens are simulated and optimized with our design framework, approximately 30% improvements of efficiencies are achieved.
平面元曲面已经应用于多个领域。在传统的元表面设计中,近场耦合通常被忽略。提出了一种考虑元原子间近场耦合的宏细胞数值建模方法。构建了一个深度神经网络(DNN)来准确预测不同宏细胞的电磁响应。迁移学习被用来减少训练数据集的数量。所设计的神经网络作为一个有效的代理模型嵌入到优化算法中。使用我们的设计框架对偏转器和高数值孔径(NA)金属透镜进行了模拟和优化,效率提高了约30%。
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引用次数: 2
Electromagnetic-Thermal Analysis With FDTD and Physics-Informed Neural Networks 利用FDTD和物理信息神经网络进行电磁热分析
IF 2.3 Q1 Mathematics Pub Date : 2023-01-13 DOI: 10.1109/JMMCT.2023.3236946
Shutong Qi;Costas D. Sarris
This article presents the coupling of the finite-difference time-domain (FDTD) method for electromagnetic field simulation, with a physics-informed neural network based solver for the heat equation. To this end, we employ a physics-informed U-Net instead of a numerical method to solve the heat equation. This approach enables the solution of general multiphysics problems with a single-physics numerical solver coupled with a neural network, overcoming the questions of accuracy and efficiency that are associated with interfacing multiphysics equations. By embedding the heat equation and its boundary conditions in the U-Net, we implement an unsupervised training methodology, which does not require the generation of ground-truth data. We test the proposed method with general 2-D coupled electromagnetic-thermal problems, demonstrating its accuracy and efficiency compared to standard finite-difference based alternatives.
本文介绍了电磁场模拟的时域有限差分(FDTD)方法与基于物理信息的神经网络热方程求解器的耦合。为此,我们采用了基于物理的U-Net方法,而不是数值方法来求解热方程。这种方法能够通过与神经网络耦合的单个物理数值求解器来解决一般的多物理问题,克服了与多物理方程接口相关的精度和效率问题。通过将热方程及其边界条件嵌入U-Net,我们实现了一种无监督的训练方法,该方法不需要生成地面实况数据。我们将所提出的方法与一般的二维耦合电磁热问题进行了测试,与基于标准有限差分的替代方法相比,证明了其准确性和效率。
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引用次数: 2
Split-Field Domain Decomposition Parallel Algorithm With Fast Convergence for Electromagnetic Analysis 一种快速收敛的电磁分析分域分解并行算法
IF 2.3 Q1 Mathematics Pub Date : 2023-01-12 DOI: 10.1109/JMMCT.2023.3236645
Shuzhan Sun;Dan Jiao
In this work, we propose a new split-field domain-decomposition (DD) algorithm. Different from conventional DD methods where interface fields are treated as a whole and shared in common between adjacent subdomains, we split the field on the interface into $m$ components, where $m$ is the number of subdomains sharing the interface, and solve one component of the interface field in each subdomain. The resultant numerical scheme allows for each subdomain to be directly solved in a decoupled manner, and meanwhile captures the global coupling among subdomains iteratively with fast and guaranteed convergence. Numerical simulations of large-scale electromagnetic structures such as integrated circuits and packages demonstrate the accuracy and efficiency of the proposed DD algorithm, and the resultant parallel solver.
本文提出了一种新的分割域域分解算法。与传统DD方法将接口字段视为一个整体并在相邻子域之间共享不同,我们将接口上的字段拆分为$m$组件,其中$m$为共享接口的子域数量,并在每个子域中求解接口字段的一个组件。所得到的数值格式允许每个子域以解耦的方式直接求解,同时迭代捕获子域之间的全局耦合,具有快速和保证的收敛性。大规模电磁结构(如集成电路和封装)的数值模拟验证了该算法的准确性和有效性,以及由此产生的并行求解器。
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引用次数: 0
Numerical Study of the Optical Response of $text{ITO}$-${text{In}_{{2}}{text O}_{{3}}}$ Core-Shell Nanocrystals for Multispectral Electromagnetic Shielding 多光谱电磁屏蔽中$text{ITO}$-${text{In}_{{2}}{text O}_{{3}}}$核壳纳米晶体光响应的数值研究
IF 2.3 Q1 Mathematics Pub Date : 2023-01-10 DOI: 10.1109/JMMCT.2023.3235750
Nicola Curreli;Matteo Bruno Lodi;Michele Ghini;Nicolò Petrini;Andrea Buono;Maurizio Migliaccio;Alessandro Fanti;Ilka Kriegel;Giuseppe Mazzarella
Nowadays, materials to protect equipment from unwanted multispectral electromagnetic waves are needed in a broad range of applications including electronics, medical, military and aerospace. However, the shielding materials currently in use are bulky and work effectively only in a limited frequency range. Therefore, nanostructured materials are under investigation by the relevant scientific community. In this framework, the design of multispectral shielding nanomaterials must be supplemented with proper numerical models that allow dealing with non-linearities and being effective in predicting their absorption spectra. In this study, the electromagnetic response of metal-oxide nanocrystals with multispectral electromagnetic shielding capability has been investigated. A numerical framework was developed to predict energy bands and electron density profiles of a core-shell nanocrystal and to evaluate its optical response at different wavelengths. To this aim, a finite element method software is used to solve a non-linear Poisson's equation. The numerical simulations allowed to model the optical response of $mathbf {ITO}$-$mathbf {In_{2}O_{3}}$ core-shell nanocrystals and can be effectively applied to different nanotopologies to support an enhanced design of nanomaterials with multispectral shielding capabilities.
如今,在电子、医疗、军事和航空航天等广泛应用中,都需要保护设备免受不必要的多光谱电磁波影响的材料。然而,目前使用的屏蔽材料体积庞大,仅在有限的频率范围内有效工作。因此,相关科学界正在对纳米结构材料进行研究。在这一框架下,多光谱屏蔽纳米材料的设计必须辅以适当的数值模型,以处理非线性并有效预测其吸收光谱。在本研究中,研究了具有多光谱电磁屏蔽能力的金属氧化物纳米晶体的电磁响应。开发了一个数值框架来预测核壳纳米晶体的能带和电子密度分布,并评估其在不同波长下的光学响应。为此,使用有限元软件求解非线性泊松方程。数值模拟允许对$mathbf{ITO}$-$mathbf{In的光学响应进行建模_{2}O_{3} }$核壳纳米晶体,可以有效地应用于不同的纳米拓扑结构,以支持具有多光谱屏蔽能力的纳米材料的增强设计。
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引用次数: 0
A Systematic Approach to Adaptive Mesh Refinement for Computational Electrodynamics 计算电动力学自适应网格细化的系统方法
IF 2.3 Q1 Mathematics Pub Date : 2023-01-03 DOI: 10.1109/JMMCT.2022.3233944
Dinshaw S. Balsara;Costas D. Sarris
There is a great need to solve CED problems on adaptive meshes; referred to here as AMR-CED. The problem was deemed to be susceptible to “long-term instability” and parameterized methods have been used to control the instability. In this paper, we present a new class of AMR-CED methods that are free of this instability because they are based on a more careful understanding of the constraints in Maxwell's equations and their preservation on a single control volume. The important building blocks of these new methods are: 1) Timestep sub-cycling of finer child meshes relative to parent meshes. 2) Restriction of fine mesh facial data to coarser meshes when the two meshes are synchronized in time. 3) Divergence constraint-preserving prolongation of the coarse mesh solution to newly built fine meshes or to the ghost zones of pre-existing fine meshes. 4) Electric and magnetic field intensity-correction strategy at fine-coarse interfaces. Using examples, we show that the resulting AMR-CED algorithm is free of “long-term instability”. Unlike previous methods, there are no adjustable parameters. The method is inherently stable because a strict algorithmic consistency is applied at all levels in the AMR mesh hierarchy. We also show that the method preserves order of accuracy, so that high order methods for AMR-CED are indeed possible.
迫切需要在自适应网格上解决CED问题;这里称为AMR-CED。该问题被认为易受“长期不稳定性”的影响,并采用参数化方法来控制不稳定性。在本文中,我们提出了一类新的AMR-CED方法,它们没有这种不稳定性,因为它们基于对麦克斯韦方程中的约束的更仔细的理解以及它们在单个控制体积上的保存。这些新方法的重要组成部分是:1)子网格相对于父网格的时间步子循环。2)当两种网格及时同步时,细网格面部数据限制为粗网格。3)保持散度约束的粗网格解扩展到新建的细网格或已存在的细网格的幽灵区域。4)细粗界面电场和磁场强度校正策略。通过实例,我们证明了所得到的AMR-CED算法没有“长期不稳定性”。与以前的方法不同,没有可调参数。该方法具有固有的稳定性,因为在AMR网格层次结构的所有层次上都采用了严格的算法一致性。我们还证明了该方法保留了阶精度,因此AMR-CED的高阶方法确实是可能的。
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引用次数: 0
2023 Index IEEE Journal on Multiscale and Multiphysics Computational Techniques Vol. 8 2023 Index IEEE Journal on Multiscale and Multiphysics Computational Techniques Vol.
IF 2.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1109/JMMCT.2024.3355900
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引用次数: 0
Editorial The Year of the Impact Factor 社论 影响因子年
IF 2.3 Q1 Mathematics Pub Date : 2023-01-01 DOI: 10.1109/JMMCT.2023.3346472
Costas Sarris
In July 2023, the IEEE Journal on Multiphysics and Multiscale Computational Techniques (J-MMCT) reached an important milestone, obtaining its first Impact Factor (2.3). The Impact Factor confirmed the position of the Journal as one of the leading publications dedicated to the latest advances in computational electromagnetics with an emphasis on methods for multiscale and multiphysics problems. This is the result of hard work and consistent efforts of everyone involved with J-MMCT, from founding Editor-in-Chief Prof. Qing-Huo Liu to all Editorial Board and Steering Committee members to date.
2023 年 7 月,《电气和电子工程师学会多物理场和多尺度计算技术期刊》(J-MMCT)达到了一个重要的里程碑,获得了第一个影响因子(2.3)。该影响因子证实了《电磁学多物理场与多尺度计算技术期刊》的地位,它是专门报道计算电磁学最新进展的领先刊物之一,重点关注多尺度和多物理场问题的方法。这是《J-MMCT》从创刊主编刘庆和教授到迄今为止所有编委会和指导委员会成员辛勤工作和不懈努力的结果。
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引用次数: 0
An A-$Phi$ Formulation Solver in Electromagnetics Based on Discrete Exterior Calculus 电磁学中基于离散外微积分的A-$Phi$公式求解器
IF 2.3 Q1 Mathematics Pub Date : 2022-12-20 DOI: 10.1109/JMMCT.2022.3230732
Boyuan Zhang;Dong-Yeop Na;Dan Jiao;Weng Cho Chew
An efficient numerical solver for the A-$Phi$ formulation in electromagnetics based on discrete exterior calculus (DEC) is proposed in this paper. The A-$Phi$ formulation is immune to low-frequency breakdown and ideal for broadband and multi-scale analysis. The generalized Lorenz gauge is used in this paper, which decouples the A equation and the $Phi$ equation. The A-$Phi$ formulation is discretized by using the DEC, which is the discretized version of exterior calculus in differential geometry. In general, DEC can be viewed as a generalized version of the finite difference method, where Stokes' theorem and Gauss's theorem are naturally preserved. Furthermore, compared with finite difference method, where rectangular grids are applied, DEC can be implemented with unstructured mesh schemes, such as tetrahedral meshes. Thus, the proposed DEC A-$Phi$ solver is inherently stable, free of spurious solutions and can capture highly complex structures efficiently. In this paper, the background knowledge about the A-$Phi$ formulation and DEC is introduced, as well as technical details in implementing the DEC A-$Phi$ solver with different boundary conditions. Numerical examples are provided for validation purposes as well.
本文提出了一种基于离散外部微积分(DEC)的电磁学A$Phi$公式的高效数值求解器。A$Phi$公式不受低频击穿的影响,非常适合宽带和多尺度分析。本文采用广义洛伦兹规范对A方程和$Phi$方程进行解耦。A$Phi$公式通过使用DEC进行离散化,DEC是微分几何中外部微积分的离散化版本。一般来说,DEC可以被视为有限差分法的一个广义版本,其中斯托克斯定理和高斯定理自然保留。此外,与应用矩形网格的有限差分方法相比,DEC可以用非结构化网格格式来实现,例如四面体网格。因此,所提出的DEC A-$Phi$求解器本质上是稳定的,没有伪解,并且可以有效地捕获高度复杂的结构。本文介绍了A-$Phi$公式和DEC的背景知识,以及在不同边界条件下实现DEC A-$Pi$求解器的技术细节。数值示例也用于验证目的。
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引用次数: 1
Boundary Integral Equation Method for Electrostatic Field Prediction in Piecewise-Homogeneous Electrolytes 分段均质电解质中静电场预测的边界积分方程法
IF 2.3 Q1 Mathematics Pub Date : 2022-12-20 DOI: 10.1109/JMMCT.2022.3230664
Christopher K. Pratt;John C. Young;Robert J. Adams;Stephen D. Gedney
This article presents a boundary integral equation formulation for the prediction of electrostatic fields, potentials, and currents in regions comprising piecewise-homogeneous electrolytes. The integral equation is formulated in terms of the boundary electric potentials and normal electric current densities and is discretized using the locally corrected Nyström method. The method is validated by comparison to analytic solution data for both linear and nonlinear canonical problems. Solution convergence is investigated with respect to mesh discretization and basis order.
本文提出了一个边界积分方程公式,用于预测分段均质电解质区域内的静电场、电位和电流。积分方程用边界电位和法向电流密度表示,并用局部校正Nyström方法进行离散化。通过与线性和非线性正则问题解析解数据的比较,验证了该方法的有效性。研究了该方法在网格离散化和基阶方面的收敛性。
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引用次数: 1
Electromagnetic-Thermal Modeling of Nonlinear Magnetic Materials 非线性磁性材料的电磁-热建模
IF 2.3 Q1 Mathematics Pub Date : 2022-12-16 DOI: 10.1109/JMMCT.2022.3229963
Hongliang Li;Philip T. Krein;Jian-Ming Jin
A nonlinear electromagnetic (EM)-thermal coupled solver is developed for modeling ferromagnetic materials widely used in electric motors. To accurately predict machine performance, the time-domain finite element method is employed to solve this multiphysics problem. By adopting the nonlinear B-H models to account for hysteresis effects, magnetic core losses are computed as the major sources of power dissipation for magnetic materials. The resulting temperature change is then obtained and its effect on the magnetic properties is subsequently evaluated. Due to different time scales of EM field variations and heat transfer processes, different time step sizes are adopted to enhance the simulation speed. During thermal time marching, the EM solver is invoked adaptively based on material property changes, and EM losses are calculated and updated through extrapolation, resulting in an efficient EM-thermal coupling scheme. Numerical examples are presented to validate the accuracy and capabilities of the proposed EM-thermal co-simulation framework.
开发了一种非线性电磁(EM)-热耦合求解器,用于对电机中广泛使用的铁磁材料进行建模。为了准确预测机器性能,采用时域有限元方法来解决这一多物理问题。通过采用非线性B-H模型来考虑磁滞效应,计算了磁芯损耗作为磁性材料功耗的主要来源。然后获得所产生的温度变化,并随后评估其对磁性能的影响。由于电磁场变化和传热过程的时间尺度不同,采用了不同的时间步长来提高模拟速度。在热时间推进过程中,根据材料特性变化自适应调用EM求解器,并通过外推计算和更新EM损耗,从而形成有效的EM热耦合方案。通过数值算例验证了所提出的EM热协同仿真框架的准确性和能力。
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引用次数: 3
期刊
IEEE Journal on Multiscale and Multiphysics Computational Techniques
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