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Electrostatic Boundary Integral Method for 3D Structures in a Layered Conducting Medium 层状导电介质中三维结构的静电边界积分法
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-06-19 DOI: 10.1109/JMMCT.2024.3416688
Stephen D. Gedney;Nastaran Hendijani;John C. Young;Robert J. Adams
An integral equation formulation is presented for the modeling of the electrostatic fields surrounding arbitrary three-dimensional structures situated in a conducting layered medium. The layered Green's function for the electrostatic potential and the tensor Green's function for the gradient potential are derived. Closed forms for the 3D layered Green's functions are generated using a discrete complex image method (DCIM) approximation. Improved accuracy of the DCIM approximation is achieved using optimization for the computation of the DCIM poles and residues. The problem is discretized via a high-order locally corrected Nyström method with curvilinear cells. Several examples are shown that demonstrate the accuracy of the DCIM approximation for layered media with disparate layer spacing and conductivities for arbitrary 3D geometries.
本文提出了一种积分方程公式,用于模拟位于导电分层介质中的任意三维结构周围的静电场。推导出了静电势的分层格林函数和梯度势的张量格林函数。利用离散复象法(DCIM)近似生成了三维分层格林函数的封闭形式。通过优化 DCIM 极点和残差的计算,提高了 DCIM 近似的精度。该问题通过具有曲线单元的高阶局部校正 Nyström 方法离散化。文中展示的几个示例证明了 DCIM 近似方法在任意三维几何形状下对具有不同层间距和导电率的层状介质的精确性。
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引用次数: 0
LB-ADI: An Efficient Method for Transient Thermal Simulation of Integrated Chiplets and Packages LB-ADI:集成芯片和封装瞬态热模拟的高效方法
IF 2.3 Q1 Mathematics Pub Date : 2024-04-09 DOI: 10.1109/JMMCT.2024.3386842
Jie Li;Min Tang;Lin-Sheng Wu;Liguo Jiang;Wenliang Dai;Junfa Mao
In this article, an efficient Laguerre-based alternating direction implicit (LB-ADI) approach is proposed for the transient thermal simulation of integrated chiplets and packages. The transient heat conduction equation is transformed into the Laguerre domain by the Laguerre basis functions and the Galerkin's testing method. With spatial discretization, the resulting matrix equation based on a marching-on-in-order scheme is established. In order to improve the computational efficiency, a new ADI approach in the Laguerre domain is developed. Only three tridiagonal matrices need to be solved in each order, which significantly reduces the simulation time and memory requirement. The accuracy and efficiency of the proposed method are validated by numerical results.
本文针对集成芯片和封装的瞬态热模拟,提出了一种高效的基于拉盖尔交替方向隐式(LB-ADI)方法。通过 Laguerre 基函数和 Galerkin 检验法,将瞬态热传导方程转换到 Laguerre 域。通过空间离散化,建立了基于阶内行进方案的矩阵方程。为了提高计算效率,开发了一种新的拉盖尔域 ADI 方法。每阶只需求解三个三对角矩阵,从而大大减少了模拟时间和内存需求。数值结果验证了所提方法的准确性和效率。
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引用次数: 0
A Hybrid Electromagnetic Optimization Method Based on Physics-Informed Machine Learning 基于物理信息机器学习的混合电磁优化方法
IF 2.3 Q1 Mathematics Pub Date : 2024-04-05 DOI: 10.1109/JMMCT.2024.3385451
Yanan Liu;Hongliang Li;Jian-Ming Jin
In this article, we present an optimization method based on the hybridization of the genetic algorithm (GA) and gradient optimization (grad-opt) and facilitated by a physics-informed machine learning model. In the proposed method, the slow-but-global GA is used as a pre-screening tool to provide good initial values to the fast-but-local grad-opt. We introduce a robust metric to measure the goodness of the designs as starting points and use a set of control parameters to fine tune the optimization dynamics. We utilize the machine learning with analytic extension of eigenvalues (ML w/AEE) model to integrate the two pieces seamlessly and accelerate the optimization process by speeding up forward evaluation in GA and gradient calculation in grad-opt. We employ the divide-and-conquer strategy to further improve modeling efficiency and accelerate the design process and propose the use of a fusion module to allow for end-to-end gradient propagation. Two numerical examples are included to show the robustness and efficiency of the proposed method, compared with traditional approaches.
在本文中,我们提出了一种基于遗传算法(GA)和梯度优化(grad-opt)混合的优化方法,并通过物理信息机器学习模型加以促进。在所提出的方法中,缓慢但全局的遗传算法被用作预筛选工具,为快速但局部的梯度优化提供良好的初始值。我们引入了一个稳健的指标来衡量作为起点的设计的优劣,并使用一组控制参数来微调优化动态。我们利用带有特征值分析扩展的机器学习(ML w/AEE)模型将两部分无缝集成,并通过加速 GA 中的前向评估和 grad-opt 中的梯度计算来加速优化过程。我们采用分而治之的策略进一步提高建模效率,加快设计过程,并建议使用融合模块来实现端到端的梯度传播。我们还列举了两个数值示例,以说明与传统方法相比,所提方法的稳健性和高效性。
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引用次数: 0
Efficient Iterative Solution of Combined Source Integral Equation Using Characteristic Basis Function Method With Initial Guess 使用带初始猜测的特征基函数法高效迭代求解组合源积分方程
IF 2.3 Q1 Mathematics Pub Date : 2024-03-28 DOI: 10.1109/JMMCT.2024.3382725
Zhiwen Dong;Xinlei Chen;Fan Gao;Changqing Gu;Zhuo Li;Wu Yang;Weibing Lu
Using only the RWG functions, the combined source integral equation (CSIE) with weak form combined source condition can achieve fine accuracy and fast iterative convergence for conductor objects. However, compared with a conventional integral equation in the method of moments (MoM), the conventional CSIE involves more matrices and more complex numerical processing, and these make the CSIE inefficient, especially for multiple excitation problems. In this article, a characteristic basis function (CBF)-based CSIE with initial guess is proposed to mitigate this problem. The CBF is employed to reduce the number of unknowns as well as the storage consumptions and iteration time. In the meantime, an initial guess especially for CBFs is proposed to reduce iterations when solving multiple excitation problems. Numerical results are given to demonstrate the performance of the proposed method.
仅使用 RWG 函数,具有弱形式组合源条件的组合源积分方程(CSIE)就能实现导体对象的高精度和快速迭代收敛。然而,与矩量法(MoM)中的传统积分方程相比,传统 CSIE 涉及更多矩阵和更复杂的数值处理,这使得 CSIE 效率低下,尤其是在多激励问题上。本文提出了一种基于特征基函数(CBF)的 CSIE(带初始猜测),以缓解这一问题。采用 CBF 可以减少未知数的数量、存储消耗和迭代时间。同时,还提出了一种特别适用于 CBF 的初始猜测,以减少求解多重激励问题时的迭代次数。给出的数值结果证明了所提方法的性能。
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引用次数: 0
A 3-D Spectral Element Time-Domain Method With Perfectly Matched Layers for Transient Schrödinger Equation 针对瞬态薛定谔方程的完美匹配层的三维谱元时域法
IF 2.3 Q1 Mathematics Pub Date : 2024-03-13 DOI: 10.1109/JMMCT.2024.3399911
Kangshuai Du;Shilie He;Chengzhuo Zhao;Na Liu;Qing Huo Liu
A spectral element time-domain (SETD) method with perfectly matched layers (PML) is proposed to simulate the behavior of electron waves, interference effects and tunneling effects, in three-dimensional (3-D) devices by solving Schrödinger equation. The proposed method employs Gauss-Lobatto-Legendre (GLL) polynomials to represent the wave function. Easy construction of higher-order element makes refinement straightforward and spectral accuracy can be obtained from the SETD. Meanwhile, by utilizing the GLL quadrature, a diagonal mass matrix is obtained which is meaningful in the time-stepping process. Numerical experiments confirm that, for open boundary problems, employing PML yields results characterized by high numerical efficiency, remarkable flexibility and ease of implementation. These findings underscore the effectiveness of SETD-PML in addressing the challenges posed by open boundary conditions, making it a reliable choice for numerical simulations. Some illustrative numerical examples are presented to demonstrate the performance of the proposed method.
本文提出了一种具有完美匹配层(PML)的谱元时域(SETD)方法,通过求解薛定谔方程来模拟三维(3-D)器件中的电子波行为、干涉效应和隧道效应。该方法采用高斯-洛巴托-列根德(GLL)多项式来表示波函数。高阶元素的简便构造使细化变得简单,并可从 SETD 中获得光谱精度。同时,通过利用 GLL 正交,可以得到对角质量矩阵,这在时间步进过程中很有意义。数值实验证实,对于开放边界问题,采用 PML 可以得到数值效率高、灵活性强和易于实现的结果。这些发现强调了 SETD-PML 在应对开放边界条件挑战方面的有效性,使其成为数值模拟的可靠选择。本文列举了一些数值示例来证明所提方法的性能。
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引用次数: 0
Coupled Mechanical and Electromagnetic Analysis of Current on Armature and Rail Interface With Dynamic Contact 带动态触点的电枢和导轨接口电流的耦合机械和电磁分析
IF 2.3 Q1 Mathematics Pub Date : 2024-03-07 DOI: 10.1109/JMMCT.2024.3397464
Jinghan Xu;Shengguo Xia;Hongdan Yang;Lixue Chen
The electrical contact between the armature and rail (A/R) in a railgun is acknowledged as a dynamic sliding interface, exhibiting properties distinct from bulk. This paper employs a 3-D finite element method (FEM) for coupled mechanical and electromagnetic analysis and proposes boundary conditions for dynamic sliding contact to investigate current distribution on the A/R interface. Results show that contact pressure and area have similar trends as the driving current, which confines current distributed areas. The current distributions on stationary and sliding interfaces reveal different patterns but the distributed areas both locate within the contact areas. In the case of the stationary scenario, the current concentrates at the trailing edge when the current increases and diffuses to the leading edge when the current declines. However, due to the velocity skin effect (VSE), the current fails to diffuse into the interior during all stages. Besides, comparative calculations with constant contact indicate that forced shifts of current occur when the contact is dynamic, dominating the current distributions of the A/R interface. Moreover, the influence of the VSE on forced shifts of current is notable, with significant current variations observed near the trailing edge, whereas those around the leading edge are less pronounced.
轨道炮中电枢和导轨(A/R)之间的电气接触被认为是动态滑动界面,具有不同于块体的特性。本文采用三维有限元法(FEM)进行机械和电磁耦合分析,并提出了动态滑动接触的边界条件,以研究 A/R 接口上的电流分布。结果表明,接触压力和面积的变化趋势与驱动电流相似,从而限制了电流分布区域。静止和滑动界面上的电流分布显示出不同的模式,但分布区域都位于接触区域内。在静止的情况下,当电流增大时,电流集中在后缘,而当电流减小时,则向前缘扩散。然而,由于速度集肤效应(VSE),电流在所有阶段都无法扩散到内部。此外,与恒定接触的比较计算表明,当接触是动态时,电流会发生强制偏移,从而主导 A/R 接口的电流分布。此外,VSE 对电流强制偏移的影响也很明显,在后缘附近观察到的电流变化显著,而前缘附近的变化则不太明显。
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引用次数: 0
Equivalent Circuit Model Development Accounting for Mutual-Coupling Effects 考虑相互耦合效应的等效电路模型开发
IF 2.3 Q1 Mathematics Pub Date : 2024-03-06 DOI: 10.1109/JMMCT.2024.3396801
Chandan Roy;Ke Wu
Mutual-coupling effects are of utmost importance in the development of high-frequency circuits and systems. However, it is a common practice to ignore those couplings when establishing equivalent circuit models. Neglecting these couplings leads to inaccurate circuit modelling. Therefore, it becomes imperative to account for mutual couplings in the development of accurate equivalent circuit models. This work presents a holistic process for synthesizing the equivalent circuit model of an electromagnetic (EM) field structure that incorporates mutual couplings of varying orders. The proposed high-order framework begins by developing equivalent circuit models for each individual transmission line discontinuity within the target circuit. Subsequently, the mutual couplings of different orders are extracted in a step-by-step manner. Throughout this process, full-wave EM simulations are deployed, along with a circuit parameter extraction method that utilizes de-embedded circuit responses. By combining these techniques, a comprehensive and accurate equivalent circuit model is generated, enabling a detailed analysis of the target field model structure, and facilitating a deeper understanding of its electrical and magnetic behavior and performance. This paper utilizes a three-step microstrip discontinuity structure and a third-order parallel coupled microstrip filter as examples for theoretical and experimental demonstration of the proposed technique.
在开发高频电路和系统时,相互耦合效应至关重要。然而,通常的做法是在建立等效电路模型时忽略这些耦合效应。忽略这些耦合会导致电路建模不准确。因此,在建立精确的等效电路模型时必须考虑相互耦合。本研究提出了一种综合电磁(EM)场结构等效电路模型的整体流程,其中包含不同阶次的相互耦合。所提议的高阶框架首先为目标电路中的每个单独传输线不连续性建立等效电路模型。随后,逐步提取不同阶数的相互耦合。在整个过程中,将采用全波电磁仿真以及利用去嵌入式电路响应的电路参数提取方法。通过将这些技术相结合,可生成全面、准确的等效电路模型,从而能够对目标场模型结构进行详细分析,并有助于深入了解其电气和磁行为及性能。本文以一个三阶微带不连续结构和一个三阶并联耦合微带滤波器为例,对所提出的技术进行了理论和实验演示。
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引用次数: 0
Considering Capacitive Effects in Foil Winding Homogenization 在箔绕组均质化中考虑电容效应
IF 2.3 Q1 Mathematics Pub Date : 2024-03-06 DOI: 10.1109/JMMCT.2024.3396823
Jonas Bundschuh;Yvonne Späck-Leigsnering;Herbert De Gersem
In conventional finite element simulations, foil windings with a thin foil and many turns require many mesh elements. This renders models quickly computationally infeasible. With the use of homogenization approaches, the finite element mesh does not need to resolve the small-scale structure of the foil winding domain. Present homogenization approaches take resistive and inductive effects into account. With an increase of the operation frequency of foil windings, however, capacitive effects between adjacent turns in the foil winding become relevant. This paper presents an extension to the standard foil winding model that covers the capacitive behavior of foil windings.
在传统的有限元模拟中,薄箔多圈绕组需要很多网格元素。这使得模型在计算上很快变得不可行。使用均质化方法后,有限元网格不需要解决箔绕组域的小尺度结构问题。目前的均质化方法考虑了电阻和电感效应。然而,随着箔绕组工作频率的提高,箔绕组中相邻匝间的电容效应也变得重要起来。本文对标准箔绕组模型进行了扩展,涵盖了箔绕组的电容行为。
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引用次数: 0
Electromagnetic-Circuital-Thermal-Mechanical Multiphysics Numerical Simulation Method for Microwave Circuits 微波电路的电磁-电路-热学-力学多物理场数值模拟方法
IF 2.3 Q1 Mathematics Pub Date : 2024-03-04 DOI: 10.1109/JMMCT.2024.3372619
Huan Huan Zhang;Zheng Lang Jia;Peng Fei Zhang;Ying Liu;Li Jun Jiang;Da Zhi Ding
A electromagnetic-circuital-thermal-mechanical mu- ltiphysics numerical method is proposed for the simulation of microwave circuits. The discontinuous Galerkin time-domain (DGTD) method is adopted for electromagnetic simulation. The time-domain finite element method (FEM) is utilized for thermal simulation. The circuit equation is applied for circuit simulation. The mechanical simulation is also carried out by FEM method. A flexible and unified multiphysics field coupling mechanism is constructed to cover various electromagnetic, circuital, thermal and mechanical multiphysics coupling scenarios. Finally, three numerical examples emulating outer space environment, intense electromagnetic pulse (EMP) injection and high power microwave (HPM) illumination are utilized to demonstrate the accuracy, efficiency, and capability of the proposed method. The proposed method provides a versatile and powerful tool for the design and analysis of microwave circuits characterized by intertwined electromagnetic, circuital, thermal and stress behaviors.
提出了一种用于微波电路仿真的电磁-电路-热-机械数值方法。电磁仿真采用非连续伽勒金时域(DGTD)方法。热仿真采用时域有限元法(FEM)。电路仿真采用电路方程。机械仿真也采用有限元法。构建了灵活统一的多物理场耦合机制,以涵盖各种电磁、电路、热和机械多物理耦合情况。最后,利用模拟外太空环境、强电磁脉冲(EMP)注入和高功率微波(HPM)照明的三个数值示例,展示了所提方法的准确性、效率和能力。所提出的方法为设计和分析具有电磁、电路、热和应力行为交织特点的微波电路提供了一个多功能的强大工具。
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引用次数: 0
Spin and Orbital Angular Momenta of Electromagnetic Waves: From Classical to Quantum Forms 电磁波的自旋和轨道角动量:从经典形式到量子形式
IF 2.3 Q1 Mathematics Pub Date : 2024-02-29 DOI: 10.1109/JMMCT.2024.3370729
Wei E. I. Sha;Zhihao Lan;Menglin L. N. Chen;Yongpin P. Chen;Sheng Sun
Angular momenta of electromagnetic waves are important both in concepts and applications. In this work, we systematically discuss two types of angular momenta, i.e., spin angular momentum and orbital angular momentum in various cases, e.g., with source and without source, in classical and quantum forms. Numerical results demonstrating how to extract the topological charge of a classical vortex beam by spectral method are also presented.
电磁波的角动量在概念和应用中都很重要。在这项工作中,我们系统地讨论了两种角动量,即自旋角动量和轨道角动量,在各种情况下,例如有源和无源,在经典和量子形式下。此外,我们还展示了如何通过光谱法提取经典涡束拓扑电荷的数值结果。
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引用次数: 0
期刊
IEEE Journal on Multiscale and Multiphysics Computational Techniques
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