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Modular Discontinuous Galerkin Time-Domain Method for General Dispersive Media With Vector Fitting 带矢量拟合的一般色散介质模块化非连续伽勒金时域法
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-17 DOI: 10.1109/JMMCT.2025.3542379
Tiago V. L. Amorim;Elson J. Silva;Fernando J. S. Moreira;Fernando L. Teixeira
We present a novel modular implementation of the discontinuous Galerkin time-domain (DGTD) method to effectively address electromagnetic problems involving general dielectric dispersive media modeled through vector fitting. This approach includes an extended dispersive perfectly matched layer to directly truncate dispersive materials, allowing for the modeling of open domains. The proposed modular and concise DGTD implementation, based on the complex-conjugate pole-residue model, offers flexibility and simplifies the handling of complex medium problems. We apply the formulation to both two-dimensional and three-dimensional canonical scattering problems, demonstrating good agreement with their respective analytical solutions.
我们提出了一种新的不连续伽辽金时域(DGTD)方法的模块化实现,以有效地解决涉及通过矢量拟合建模的一般介电色散介质的电磁问题。这种方法包括一个扩展的色散完美匹配层来直接截断色散材料,从而允许对开放域进行建模。基于复杂共轭极点-残数模型的模块化、简洁的DGTD实现提供了灵活性,简化了复杂介质问题的处理。我们将该公式应用于二维和三维正则散射问题,证明了它们各自的解析解很好地吻合。
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引用次数: 0
Self Surface Charge Method for Static Field Simulation Compatible With Non-Conformal Meshes 非保形网格下静场模拟的自表面电荷法
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-02-04 DOI: 10.1109/JMMCT.2025.3538602
Zhong Yuan Pang;Bo O. Zhu
Numerical analysis of static field problems is often encountered in science and engineering. The boundary element methods based on integral equations are popular due to small number of unknowns and high computational efficiency. Conventional boundary element methods require conformal meshes on the interface between two contact dielectric objects, which are more complicated to generate than non-conformal meshes. This paper presents a boundary element integral equation method compatible with non-conformal meshes on the interface between contacting objects. In this method, surface polarization charges on a homogeneous dielectric object are the unknowns, and the relationship between the electric field and surface polarization charges are employed to establish the integral equations. The discretization of such an integral equation and the treatment for singularity integration are discussed. Since the proposed method is compatible with non-conformal meshes, it reduces the meshing complexity for dielectric objects in contact, while the number of unknowns of the proposed method is intermediate compared with conventional methods. The proposed method is general for electrostatic field, magnetostatic field and stationary current field simulations. To demonstrate the feasibility, accuracy and efficiency of this approach, numerical tests and comparison with conventional methods are presented in this paper.
静场的数值分析问题在科学和工程中经常遇到。基于积分方程的边界元法因其未知量少、计算效率高而广受欢迎。传统的边界元方法需要在两个接触介质物体之间的界面上生成保形网格,这比非保形网格生成更复杂。提出了一种适用于接触面非保形网格的边界元积分方程法。该方法以均匀介质表面极化电荷为未知量,利用电场与表面极化电荷之间的关系建立积分方程。讨论了该类积分方程的离散化和奇异积分的处理。由于该方法兼容非保形网格,降低了接触介质物体的网格划分复杂度,同时与传统方法相比,该方法的未知量处于中等水平。该方法适用于静电场、静磁场和静电流场的模拟。为了验证该方法的可行性、准确性和有效性,本文进行了数值试验,并与传统方法进行了比较。
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引用次数: 0
Efficient Calculation of Magnetic Force Between Two Current-Carrying Filaments of Circular and Closed-Curve of Arbitrary Shape via Segmentation Approach 用分割法计算任意形状的圆形和闭合曲线两根载流细丝之间的磁力
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-30 DOI: 10.1109/JMMCT.2025.3536795
Kirill V. Poletkin;Pavel Udalov;Alexey Lukin;Ivan Popov;Haojie Xia
An approach for calculation of the magnetic force arising between two electric current-carrying filaments having a circular and closed-curve of arbitrary shape is developed. The developed approach is based on the recently formulated segmentation method applied for the calculation of the mutual induction for a similar filament system. Employing the fact that any curve can be interpolated by a set of line segments with the desired accuracy and deriving the set of formulas for calculating of the magnetic force between a circular filament and line segment, the developed approach was also successfully applied for the estimation of the distribution of magnetic force along the closed-curve in addition to the resulting one. As illustrative examples, the calculation of the magnetic force and its distribution between the circular filament and the following closed-curves such as polygons, circles and a 3D curve was efficiently performed by using the developed approach. Also, the developed method was applied for the calculation of the resultant magnetic force between the rigid bodies including permanent magnets and current-carrying coils. The results of calculation were validated successfully by using FEM method and the analytical formulas available in the literature.
提出了一种计算两根具有任意形状的圆形和闭合曲线的载流细丝之间产生的磁力的方法。该方法是基于最近制定的用于计算相似灯丝系统相互感应的分割方法。利用任何曲线都可以用一组线段精确插值的事实,推导出一组圆形灯丝与线段之间磁力的计算公式,该方法还成功地应用于估算出闭合曲线上的磁力分布。作为算例,利用该方法有效地计算了圆形细丝与多边形、圆形和三维曲线等封闭曲线之间的磁力及其分布。并将该方法应用于永磁体和载流线圈等刚体之间的合力计算。采用有限元法和文献中的解析公式对计算结果进行了验证。
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引用次数: 0
An Efficient Surface-Integral-Equation Based Nyström Method With an Over-Determined Testing Scheme for Broadband Grating Scattering Modeling 基于表面积分方程的宽带光栅散射建模Nyström方法及超定测试方案
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-29 DOI: 10.1109/JMMCT.2025.3535936
Xuyang Bai;Shurun Tan
The design complexity of photonic crystals and periodic gratings has been continuously increasing, driven by exploration of their unique physical phenomena and widespread applications. However, existing approaches for scattering modeling of periodic structures potentially encounter challenges when adapting to complex configurations, especially in the context of accurate near-field analysis and frequency responses near resonance. Meanwhile, they often exhibit difficulties in computational efficiency considering broadband simulations. Therefore, the development of an efficient and general scattering modeling approach to overcome these limitations has emerged as a crucial task. In this paper, an efficient surface integration equation (SIE)-based method is developed to model the scattering properties of arbitrary-shaped 2D gratings with 1D periodicity. The SIE is solved with a Nyström approach, which incorporates a local correction scheme and a Gaussian-Legendre quadrature rule. The evaluation of periodic Green's functions is achieved by combining an advanced imaginary wavenumber extraction technique with an integral transformation approach, which significantly increase the broadband simulation efficiency. Additionally, an over-determined matrix equation is constructed by testing the SIE with redundant observation points to mitigate potential internal resonance phenomena. The proposed approach is assessed through various numerical examples involving scatterers of different shapes and arrangements to demonstrate its accuracy and efficiency. The transmissivity spectra and surface field results, considering both normal and grazing incidence, are computed and compared against traditional approaches. The method proposed is found to be superior in accuracy and efficiency, especially when complicated evanescent modes are excited, and for broadband simulations.
随着对光子晶体和周期光栅独特物理现象的探索和广泛应用,光子晶体和周期光栅的设计复杂性不断提高。然而,现有的周期结构散射建模方法在适应复杂结构时可能会遇到挑战,特别是在精确的近场分析和近共振频率响应的背景下。同时,考虑到宽带模拟,它们在计算效率方面往往表现出困难。因此,开发一种有效和通用的散射建模方法来克服这些限制已经成为一项至关重要的任务。本文提出了一种基于表面积分方程(SIE)的有效方法来模拟具有一维周期性的任意形状二维光栅的散射特性。采用Nyström方法求解SIE,该方法结合了局部校正方案和高斯-勒让德正交规则。将先进的虚波数提取技术与积分变换方法相结合,实现了周期格林函数的求值,大大提高了宽带仿真效率。此外,通过冗余观测点对SIE进行测试,构建了一个过定矩阵方程,以减轻潜在的内部共振现象。通过各种不同形状和排列的散射体的数值算例,验证了该方法的准确性和有效性。考虑正常入射和掠射入射,计算了透射光谱和表面场结果,并与传统方法进行了比较。结果表明,该方法具有较高的精度和效率,尤其适用于复杂的瞬变模式激发和宽带仿真。
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引用次数: 0
2024 Index IEEE Journal on Multiscale and Multiphysics Computational Techniques Vol. 9 《IEEE多尺度和多物理场计算技术》第9卷
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-23 DOI: 10.1109/JMMCT.2025.3533516
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引用次数: 0
Variational Quantum Based Simulation of Cylindrical Waveguides 基于变分量子的圆柱波导仿真
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-17 DOI: 10.1109/JMMCT.2025.3531134
Emanuel Colella;Benjamin A. Baldwin;Shaun F. Kelso;Luca Bastianelli;Valter Mariani Primiani;Franco Moglie;Gabriele Gradoni
The advent of noisy intermediate-scale quantum (NISQ) systems signifies an important stage in quantum computing development. Despite the constraints due to their limited qubit numbers and noise susceptibility, NISQ devices exhibit substantial potential to tackle complex computational challenges via hybrid classical-quantum algorithms. Among the various hybrid algorithms, variational quantum algorithms (VQAs) are gaining increasing attention due to their ability to solve highly complex, large-scale problems where classical algorithms fail. In particular, the variational quantum eigensolver (VQE) shows its potential in calculating the energies and ground states of large systems, where the complexity of solving such problems grows exponentially and becomes intractable for classical computers. At this regard, the aim of this paper is to extend the use of VQE for solving circular waveguide modes to verify their applicability to mathematically complex EM problems. In particular, we propose to calculate the fundamental and the some higher order modes for both transverse electric and transverse magnetic cases in circular waveguides. This is mathematically challenging due to the nature of geometry and the associated boundary conditions of circular structures. The results confirm the possibility of applying VQE for mathematically complex EM problems, announcing its potential to scale up and solve high-dimensional, large-scale EM problems where classical algorithms can fail.
噪声中尺度量子(NISQ)系统的出现标志着量子计算发展进入了一个重要阶段。尽管由于量子比特数和噪声敏感性有限而受到限制,NISQ设备在通过混合经典量子算法解决复杂计算挑战方面表现出巨大潜力。在各种混合算法中,变分量子算法(VQAs)由于能够解决经典算法无法解决的高度复杂的大规模问题而越来越受到关注。特别是,变分量子特征求解器(VQE)在计算大型系统的能量和基态方面显示出它的潜力,在这些系统中,解决此类问题的复杂性呈指数级增长,对于经典计算机来说变得难以处理。在这方面,本文的目的是扩展VQE在求解圆波导模式中的应用,以验证其在数学上复杂的电磁问题中的适用性。特别地,我们建议计算圆波导中横向电和横向磁情况下的基模和一些高阶模。由于几何的性质和圆形结构的相关边界条件,这在数学上是具有挑战性的。结果证实了将VQE应用于数学上复杂的电磁问题的可能性,并宣布了其扩展和解决经典算法无法解决的高维、大规模电磁问题的潜力。
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引用次数: 0
Deep Learning-Based Partial Inductance Extraction of 3-D Interconnects 基于深度学习的三维互连部分电感提取
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-13 DOI: 10.1109/JMMCT.2025.3528484
Xiaofan Jia;Mingyu Wang;Qiqi Dai;Chao-Fu Wang;Abdulkadir C. Yucel
A physics-informed deep learning-based scheme is introduced for computing partial inductances of interconnects. This scheme takes a physics-based skin depth map and a geometry identifier of the interconnects as inputs and provides the current density distribution on the interconnects as the output. The predicted currents are then used to compute the partial self-resistances, self-inductances, and mutual-inductances of the interconnects. The proposed method leverages an Attention U-net, a U-shaped convolutional neural network with attention modules. During the training of Attention U-net, a specifically designed loss function is used to ensure the accurate modeling of the currents on the structure as well as ports. The accuracy, efficiency, and generalization ability of this physics-informed deep learning method are demonstrated via inductance extraction of the interconnects with and without a ground plane, including straight single interconnects, interconnects with sharp bends, parallel interconnects, and multiple conductor crossover buses. Numerical results show that the proposed scheme can predict the current density distribution of one interconnect scenario in 15.63 ms on GPU, 1157x faster than the physics-based solver, while providing self-inductances, mutual-inductances, and self-resistances of interconnects with around 1%, 3%, and 4% ${{ell }_2}$-norm error, respectively.
介绍了一种基于物理信息的深度学习方案,用于计算互连部分电感。该方案采用基于物理的皮肤深度图和互连的几何标识符作为输入,并提供互连上的电流密度分布作为输出。然后用预测的电流来计算互连的部分自电阻、自感和互感。该方法利用了一个注意力u型网络,一个带有注意力模块的u型卷积神经网络。在Attention U-net的训练过程中,使用了一个专门设计的损失函数来确保结构和端口上电流的准确建模。通过对带地平面和不带地平面的互连的电感提取,包括直单互连、带急弯的互连、并联互连和多导体交叉总线,证明了这种物理信息深度学习方法的准确性、效率和泛化能力。数值结果表明,该方法在GPU上能够在15.63 ms内预测出一个互连场景的电流密度分布,比基于物理的求解器快1157倍,同时提供的互连自感、互感和自电阻分别为1%、3%和4% ${{ well}_2}$范数误差。
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引用次数: 0
EMI Shielding With Anisotropic Frequency Selective Surfaces: A Neural Network and Equivalent Circuit Approach 具有各向异性频率选择表面的电磁干扰屏蔽:一种神经网络和等效电路方法
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-01-10 DOI: 10.1109/JMMCT.2025.3528076
Sairam SD;Sriram Kumar Dhamodharan
A multi-layer perceptron (MLP) model was applied to electromagnetic shielding to analyze a coupled ring anisotropic frequency selective surface (CRAFSS) using an equivalent circuit model. The shielding structure, based on a single-sided RT 5880 array, features unit elements with dimensions of $0.55lambda _{0} times 0.41lambda _{0}$ at the resonant frequency. Various deep neural network (DNN) configurations with hidden layers were tested to achieve optimal results, reaching a minimal mean square error (MSE) of $1.012 times 10^{-4}$. The MLP was trained using input parameters such as S-parameters, resonant frequency, and shielding effectiveness, with the output being the dimensions of the proposed shielding structure. The dataset, built from capacitance and inductance values, was used for testing, training, and validation within the neural network, eventually employing inverse modeling for output prediction. The structure demonstrated stable bandwidth performance despite changes in the incidence angle of transverse magnetic (TM) and transverse electric (TE) polarizations, shifting from $theta$ = $0^{0}$ to $60^{0}$. The anisotropic FSS was developed and evaluated, with deep learning results and electromagnetic (EM) simulations playing a key role in the design process.
将多层感知器(MLP)模型应用于电磁屏蔽中,利用等效电路模型分析耦合环形各向异性频率选择面(CRAFSS)。该屏蔽结构基于单面RT 5880阵列,在谐振频率处具有尺寸为$0.55lambda _{0} times 0.41lambda _{0}$的单元元件。为了获得最优的结果,我们测试了各种带有隐藏层的深度神经网络(DNN)配置,其均方误差(MSE)最小值为$1.012 times 10^{-4}$。MLP使用s参数、谐振频率和屏蔽效率等输入参数进行训练,输出是所提出的屏蔽结构的尺寸。该数据集由电容和电感值构建,用于神经网络内的测试、训练和验证,最终采用逆建模进行输出预测。尽管横向磁极化(TM)和横向电极化(TE)的入射角从$theta$ = $0^{0}$变化到$60^{0}$,但该结构的带宽性能仍然稳定。开发和评估了各向异性FSS,深度学习结果和电磁(EM)模拟在设计过程中发挥了关键作用。
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引用次数: 0
Scale-Compressed Technique in Finite-Difference Time-Domain Method for Multi-Layered Anisotropic Media 多层各向异性介质时域有限差分法中的比例压缩技术
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-12-31 DOI: 10.1109/JMMCT.2024.3524598
Yuxian Zhang;Yilin Kang;Naixing Feng;Xiaoli Feng;Zhixiang Huang;Atef Z. Elsherbeni
In this article, to breakthrough the constraint from conventional finite-difference time-domain (FDTD) method, we firstly propose a scale-compressed technique (SCT) working for the FDTD method, been called SCT-FDTD for short, to reduce three-dimensional (3-D) into one-dimensional (1-D) processes and capture the propagation coefficients. Combining with Maxwell's curl equations, the transverse wave vectors (kx, ky) can be defined as the fixed values, which let the curl operator become the curl matrix with only z-directional derivative. The obvious advantage demonstrated by above is that it does not require excessive computational processes to obtain high-dimensional numerical results with reasonable accuracy. By comparing with commercial software COMSOL by the TE/TM illumination in multi-layered biaxial anisotropy, those results from SCT-FDTD method are entirely consistent. More importantly, the SCT-FDTD possesses less CPU time and lower computational resources for COMSOL.
在本文中,为了突破传统时域有限差分(FDTD)方法的限制,我们首先提出了一种适用于FDTD方法的尺度压缩技术(SCT),简称SCT-FDTD,将三维(3-D)过程简化为一维(1-D)过程并捕获传播系数。结合麦克斯韦旋度方程,将横波矢量(kx, ky)定义为固定值,使旋度算子成为只有z方向导数的旋度矩阵。以上所展示的明显的优点是不需要过多的计算过程就能获得精度合理的高维数值结果。在多层双轴各向异性的TE/TM光照下,SCT-FDTD方法与商业软件COMSOL的结果完全一致。更重要的是,SCT-FDTD具有更少的CPU时间和更少的COMSOL计算资源。
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引用次数: 0
Experimental and Numerical Modeling of Magnetic Drug Targeting: Can We Trust Particle-Based Models? 磁性药物靶向的实验和数值模拟:我们可以信任基于粒子的模型吗?
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-12-20 DOI: 10.1109/JMMCT.2024.3520488
Angelika S. Thalmayer;Keyu Xiao;Paul Wolff;Georg Fischer
The development of trustworthy simulation models is crucial for planning drug administration in magnetic drug targeting (MDT) interventions for future cancer treatment. In the MDT cancer therapy, the drug is bound to magnetic nanoparticles, which act as carriers and are guided through the cardiovascular system into the tumor region using an external magnetic field. Thus, the modeling represents a multiphysical problem and can be approached either by particle-based or concentration-based models. In this paper, both simulation approaches are implemented in COMSOL Multiphysics in a typical magnetic drug targeting scenario, verified by measurements, and compared among each other. Two different particle concentrations with and without an applied magnetic field of a Halbach array consisting of five permanent magnets in a tube flow system with a laminar velocity flow were investigated. Within this scope, an analytical model for calculating the system response for the detection of nanoparticles with a commercial susceptometer is derived, too. Considering the two implemented models and the investigated scenario, the concentration-based model shows a considerably better agreement with the experimental results for both with and without an applied magnetic field. The spatial resolution of the particle-based model is reduced due to the limited number of considered particles resulting in an inaccurate system response. Overall, the high number of new publications shows the need for research in this interdisciplinary research field to improve therapeutic success.
开发可靠的模拟模型对于规划未来癌症治疗的磁性药物靶向(MDT)干预药物管理至关重要。在MDT癌症治疗中,药物与磁性纳米颗粒结合,磁性纳米颗粒作为载体,利用外部磁场引导通过心血管系统进入肿瘤区域。因此,建模代表了一个多物理问题,可以通过基于粒子或基于浓度的模型来接近。在本文中,这两种模拟方法在COMSOL Multiphysics中实现,在一个典型的磁性药物靶向场景中,通过测量验证,并相互比较。研究了在有和没有外加磁场的情况下,由五个永磁体组成的哈尔巴赫阵列在具有层流速度的管流系统中两种不同的颗粒浓度。在此范围内,还推导了用商用电纳计检测纳米粒子时计算系统响应的解析模型。考虑到两个实现的模型和所研究的场景,在有外加磁场和没有外加磁场的情况下,基于浓度的模型与实验结果的一致性要好得多。由于考虑的粒子数量有限,导致系统响应不准确,因此基于粒子的模型的空间分辨率降低。总的来说,大量的新出版物表明,需要在这个跨学科的研究领域进行研究,以提高治疗成功率。
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引用次数: 0
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