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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
Rigorous Indoor Wireless Communication System Simulations With Deep Learning-Based Radio Propagation Models 基于深度学习的无线电传播模型的严格室内无线通信系统仿真
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-12-09 DOI: 10.1109/JMMCT.2024.3506693
Stefanos Bakirtzis;Kehai Qiu;Jiming Chen;Hui Song;Jie Zhang;Ian Wassell
Recently, there has been a surge in the development of data-driven propagation models. These models aspire to distill knowledge from propagation solvers or measured data and eventually become capable of predicting characteristics related to radiowave propagation. In this paper, we present the functionality of a generalizable and robust data-driven propagation model that enables efficient and reliable simulations of indoor wireless communication systems (IWCSs). In particular, we modify our previously introduced model, EM DeepRay, to consider the impact of antenna directivity, and we present a training and inference strategy that allows the simulation of large-scale and complicated IWCSs. Our data-driven model is trained over a rich data set comprising diverse building geometries, frequency bands, and antenna radiation patterns. Benchmarking its performance with that of a ray-tracer in complicated IWCSs with real-world measured data yields similar results that have a distinct advantage in terms of computational time. Ultimately, our work paves the way for replacing legacy IWCSs simulators, with high-fidelity artificial intelligence-based models.
最近,数据驱动传播模型的开发出现了激增。这些模型渴望从传播解算器或测量数据中提取知识,并最终能够预测与无线电波传播相关的特性。在本文中,我们提出了一种可推广且鲁棒的数据驱动传播模型的功能,该模型能够高效可靠地模拟室内无线通信系统(IWCSs)。特别是,我们修改了之前引入的模型EM DeepRay,以考虑天线指向性的影响,并提出了一种训练和推理策略,允许模拟大规模和复杂的iwcs。我们的数据驱动模型是在丰富的数据集上训练的,这些数据集包括不同的建筑几何形状、频带和天线辐射模式。将其性能与具有实际测量数据的复杂iwcs中的光线跟踪器进行基准测试,结果相似,在计算时间方面具有明显的优势。最终,我们的工作为用高保真的基于人工智能的模型取代传统的iwcs模拟器铺平了道路。
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引用次数: 0
Transfer Learning Based Rapid Design of Frequency and Dielectric Agile Antennas 基于迁移学习的频率和介电敏捷天线快速设计
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-29 DOI: 10.1109/JMMCT.2024.3509773
Aggraj Gupta;Uday K Khankhoje
Deep learning frameworks are gaining prominence in the electromagnetics community for designing microwave and mm-wave devices. This paper presents a computationally efficient transfer learning technique for designing and scaling multi-band microstrip antennas to a desired dielectric and frequency of interest. The proposed methodology involves a two-step process. First, a pre-trained model trained extensively on air-filled microstrip antennas is used for knowledge transfer. This pre-trained model is fine-tuned with a limited set of dielectric simulations, reducing data acquisition costs. In the second step, the developed forward model serves as a surrogate to design dielectric-filled antennas using the Improved Binary Particle Swarm Optimization algorithm. In contrast to conventional methods, this approach enables the design of compact antennas across various dielectrics and frequency ranges, with a significantly reduced number of time-consuming dielectric simulations (88% fewer simulations) and a lower neural network training time (75% lesser time). We analyze the optimal ways of generating dielectric antenna datasets via scaling, and perform sensitivity analysis with respect to the antenna's physical parameters. We report simulation and experimental results for single and double band antennas fabricated using the proposed approach.
深度学习框架在设计微波和毫米波设备的电磁学社区中越来越突出。本文提出了一种计算效率高的迁移学习技术,用于设计和缩放多波段微带天线到所需的介电和感兴趣的频率。拟议的方法包括两个步骤。首先,在充气微带天线上广泛训练的预训练模型用于知识转移。这种预先训练的模型通过一组有限的介电模拟进行微调,从而降低了数据采集成本。第二步,将所建立的正演模型作为替代,利用改进的二元粒子群优化算法设计介质填充天线。与传统方法相比,该方法可以设计跨各种电介质和频率范围的紧凑型天线,大大减少了耗时的电介质模拟次数(减少了88%的模拟)和更低的神经网络训练时间(减少了75%的时间)。我们分析了通过缩放生成介质天线数据集的最佳方法,并对天线的物理参数进行了灵敏度分析。我们报告了用这种方法制作的单波段和双波段天线的仿真和实验结果。
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引用次数: 0
Critical-Point-Based Stability Analyses of Finite-Difference Time-Domain Methods for Schrödinger Equation Incorporating Vector and Scalar Potentials 含有矢量和标量势的Schrödinger方程时域有限差分法的临界点稳定性分析
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-20 DOI: 10.1109/JMMCT.2024.3502830
Eng Leong Tan;Ding Yu Heh
This paper presents the critical-point-based stability analyses of finite-difference time-domain (FDTD) methods for Schrödinger equation incorporating vector and scalar potentials. Most previous FDTD formulations and stability analyses for the Schrödinger equation involve only the scalar potentials. On the other hand, the existing stability conditions that include both vector and scalar potentials were not thoroughly nor rigorously analyzed, hence they are inadequate for general cases. In this paper, rigorous stability analyses of the FDTD methods will be performed for Schrödinger equation in full 3D incorporating both vector and scalar potentials. New stability conditions are derived rigorously based on the critical points within the interior and boundary regions, while considering the local and global extrema across all variables. Two FDTD schemes are considered, of which one is updated entirely in complex form, and the other is decomposed into real and imaginary parts and updated in a leapfrog manner. Comparisons of the new stability conditions are made against those of prior works, highlighting the thoroughness, completeness and adequacy. Numerical experiments further validate the derived stability conditions and demonstrate their applicability in FDTD methods. Using these stability conditions, the FDTD methods are useful for simulations of quantum-electromagnetic interactions involving vector and scalar potentials.
本文提出了含有矢量和标量势的Schrödinger方程基于临界点的时域有限差分(FDTD)稳定性分析方法。大多数以前的时域有限差分公式和Schrödinger方程的稳定性分析只涉及标量势。另一方面,现有的包括矢量势和标量势的稳定性条件没有得到彻底和严格的分析,因此它们不适合一般情况。在本文中,FDTD方法将在包含矢量和标量势的全三维Schrödinger方程中进行严格的稳定性分析。在考虑所有变量的局部极值和全局极值的同时,严格地基于内部和边界区域的临界点导出了新的稳定性条件。考虑了两种时域有限差分格式,一种是完全以复杂形式更新,另一种是分解为实部和虚部并以跨越式更新。将新的稳定性条件与以往的稳定性条件进行了比较,强调了稳定性条件的彻底性、完整性和充分性。数值实验进一步验证了导出的稳定性条件,并证明了其在时域有限差分方法中的适用性。利用这些稳定性条件,时域有限差分方法可用于模拟涉及矢量和标量势的量子电磁相互作用。
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引用次数: 0
Physics-Informed Machine Learning for the Efficient Modeling of High-Frequency Devices 高频设备高效建模的物理信息机器学习
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-19 DOI: 10.1109/JMMCT.2024.3502062
Yanan Liu;Hongliang Li;Jian-Ming Jin
In this paper, we present a machine learning technique based on analytic extension of eigenvalues and neural networks for the efficient modeling of high-frequency devices. In the proposed method, neural networks are used to learn the mapping between device's geometry and its modal equivalent circuit parameters. These circuit parameters are extracted from the eigen-decomposition of the deviceâs $Z$-parameters at a few sample frequencies. The eigenvalues and eigenvectors of the $Z$-matrix are analytically extended to other frequencies based on functional equations constructed from the lumped equivalent circuit model, from which the full electromagnetic response can be recovered. In addition to fully-connected neural network layers, our proposed model introduces an analytical projection branch based on AEE principles to maximize the information gain from samples in the training dataset. To improve the robustness and efficiency of the learning process, we introduce an adaptive gradient update algorithm. The overall model is end-to-end differentiable and can be integrated into gradient-based optimization methods. Numerical examples are provided to demonstrate the capability of the proposed method. Compared with traditional neural network-based models, the proposed approach achieves higher accuracy using fewer data samples and generalizes better to out-of-domain inputs.
本文提出了一种基于特征值解析扩展和神经网络的机器学习技术,用于高频器件的高效建模。该方法利用神经网络学习器件几何形状与其模态等效电路参数之间的映射关系。这些电路参数是在几个采样频率下从器件的特征分解中提取出来的。基于集总等效电路模型构建的泛函方程,将Z矩阵的特征值和特征向量解析扩展到其他频率,从而恢复完整的电磁响应。除了全连接的神经网络层外,我们提出的模型还引入了基于AEE原理的分析投影分支,以最大限度地提高训练数据集中样本的信息增益。为了提高学习过程的鲁棒性和效率,我们引入了自适应梯度更新算法。整个模型是端到端可微的,可以集成到基于梯度的优化方法中。数值算例验证了该方法的有效性。与传统的基于神经网络的模型相比,该方法使用更少的数据样本获得了更高的精度,并且可以更好地泛化到域外输入。
{"title":"Physics-Informed Machine Learning for the Efficient Modeling of High-Frequency Devices","authors":"Yanan Liu;Hongliang Li;Jian-Ming Jin","doi":"10.1109/JMMCT.2024.3502062","DOIUrl":"https://doi.org/10.1109/JMMCT.2024.3502062","url":null,"abstract":"In this paper, we present a machine learning technique based on analytic extension of eigenvalues and neural networks for the efficient modeling of high-frequency devices. In the proposed method, neural networks are used to learn the mapping between device's geometry and its modal equivalent circuit parameters. These circuit parameters are extracted from the eigen-decomposition of the deviceâs \u0000<inline-formula><tex-math>$Z$</tex-math></inline-formula>\u0000-parameters at a few sample frequencies. The eigenvalues and eigenvectors of the \u0000<inline-formula><tex-math>$Z$</tex-math></inline-formula>\u0000-matrix are analytically extended to other frequencies based on functional equations constructed from the lumped equivalent circuit model, from which the full electromagnetic response can be recovered. In addition to fully-connected neural network layers, our proposed model introduces an analytical projection branch based on AEE principles to maximize the information gain from samples in the training dataset. To improve the robustness and efficiency of the learning process, we introduce an adaptive gradient update algorithm. The overall model is end-to-end differentiable and can be integrated into gradient-based optimization methods. Numerical examples are provided to demonstrate the capability of the proposed method. Compared with traditional neural network-based models, the proposed approach achieves higher accuracy using fewer data samples and generalizes better to out-of-domain inputs.","PeriodicalId":52176,"journal":{"name":"IEEE Journal on Multiscale and Multiphysics Computational Techniques","volume":"10 ","pages":"28-37"},"PeriodicalIF":1.8,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142798028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mechanical Antenna Simulations via FDTD to Characterize Mutual Depolarization 用时域有限差分法模拟机械天线互退极化
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-15 DOI: 10.1109/JMMCT.2024.3499369
Jesse Rivera;John Blaske;Zhi Yao;Ruoda Zheng;Gregory P. Carman;Yuanxun Ethan Wang
Antenna miniaturization is currently facing increased performance demands while simultaneously lacking a computational framework to drive robust designs. Future platforms must radiate farther, at lower frequency, and be increasingly compact. While mechanical resonance based piezoelectric antenna arrays are a viable candidate, detrimental mutual depolarization effects arise that must be characterized by multi-scale simulations, coupling the elastodynamic and EM wave physics. This work presents an algorithm capable of performing such full-wave simulations to provide design guidance to engineers wishing to mitigate mutual depolarization. The relevant dynamic systems of equations are discretized and put into a Finite Difference Time Domain (FDTD) scheme. This scheme exhibits electrodynamic unconditional stability and features heavily graded meshes to directly tackle the time and length scale disparity between the mechanical and EM waves. The algorithm was validated by comparison with experimental data and analytical solutions. Additionally, the algorithm compared well with predicted values for depolarization. Simulations demonstrated that spacing within piezoelectric antenna arrays should not be made too small, as to induce undue mutual depolarization, or too large, as to not allow sufficient elements to contribute to array dipole moment. Computational guidance is also provided based on the authors’ own experiences.
天线小型化目前面临着越来越高的性能要求,同时缺乏驱动稳健设计的计算框架。未来的平台必须以更低的频率辐射更远,并且越来越紧凑。虽然基于机械共振的压电天线阵列是可行的选择,但必须通过多尺度模拟来表征有害的相互去极化效应,并将弹性动力学和电磁波物理耦合起来。这项工作提出了一种能够执行这种全波模拟的算法,为希望减轻相互去极化的工程师提供设计指导。将相关动力学系统的方程离散化,并将其转化为时域有限差分格式。该方案具有电动力学的无条件稳定性,并具有高度分级的网格,可以直接解决机械波和电磁波之间的时间和长度尺度差异。通过与实验数据和解析解的比较,验证了算法的有效性。此外,该算法与去极化预测值比较好。模拟结果表明,压电天线阵列内的间距不能太小,以免引起不适当的相互退极,也不能太大,以免使足够的元件对阵列偶极矩做出贡献。并结合自己的经验给出了计算指导。
{"title":"Mechanical Antenna Simulations via FDTD to Characterize Mutual Depolarization","authors":"Jesse Rivera;John Blaske;Zhi Yao;Ruoda Zheng;Gregory P. Carman;Yuanxun Ethan Wang","doi":"10.1109/JMMCT.2024.3499369","DOIUrl":"https://doi.org/10.1109/JMMCT.2024.3499369","url":null,"abstract":"Antenna miniaturization is currently facing increased performance demands while simultaneously lacking a computational framework to drive robust designs. Future platforms must radiate farther, at lower frequency, and be increasingly compact. While mechanical resonance based piezoelectric antenna arrays are a viable candidate, detrimental mutual depolarization effects arise that must be characterized by multi-scale simulations, coupling the elastodynamic and EM wave physics. This work presents an algorithm capable of performing such full-wave simulations to provide design guidance to engineers wishing to mitigate mutual depolarization. The relevant dynamic systems of equations are discretized and put into a Finite Difference Time Domain (FDTD) scheme. This scheme exhibits electrodynamic unconditional stability and features heavily graded meshes to directly tackle the time and length scale disparity between the mechanical and EM waves. The algorithm was validated by comparison with experimental data and analytical solutions. Additionally, the algorithm compared well with predicted values for depolarization. Simulations demonstrated that spacing within piezoelectric antenna arrays should not be made too small, as to induce undue mutual depolarization, or too large, as to not allow sufficient elements to contribute to array dipole moment. Computational guidance is also provided based on the authors’ own experiences.","PeriodicalId":52176,"journal":{"name":"IEEE Journal on Multiscale and Multiphysics Computational Techniques","volume":"10 ","pages":"8-27"},"PeriodicalIF":1.8,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142777740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum Optimization of Reconfigurable Intelligent Surfaces for Mitigating Multipath Fading in Wireless Networks 量子优化可重构智能表面以减轻无线网络中的多径衰落
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-07 DOI: 10.1109/JMMCT.2024.3494037
Emanuel Colella;Luca Bastianelli;Valter Mariani Primiani;Zhen Peng;Franco Moglie;Gabriele Gradoni
Wireless communication technology has become important in modern life. Real-world radio environments present significant challenges, particularly concerning latency and multipath fading. A promising solution is represented by reconfigurable intelligent surfaces (RIS), which can manipulate electromagnetic waves to enhance transmission quality. In this study, we introduce a novel approach that employs the quantum approximate optimization algorithm (QAOA) to efficiently configure RIS in multipath environments. Applying the spin glass (SG) theoretical framework to describe chaotic systems, along with a variable noise model, we propose a quantum-based minimization algorithm to optimize RIS in various electromagnetic scenarios affected by multipath fading. The method involves training a parameterized quantum circuit using a mathematical model that scales with the size of the RIS. When applied to different EM scenarios, it directly identifies the optimal RIS configuration. This approach eliminates the need for large datasets for training, validation, and testing, streamlines, and accelerates the training process. Furthermore, the algorithm will not need to be rerun for each individual scenario. In particular, our analysis considers a system with one transmitting antenna, multiple receiving antennas, and varying noise levels. The results show that QAOA enhances the performance of RIS in both noise-free and noisy environments, highlighting the potential of quantum computing to address the complexities of RIS optimization and improve the performance of the wireless network.
无线通信技术在现代生活中已变得十分重要。现实世界的无线电环境带来了巨大挑战,尤其是在延迟和多径衰落方面。可重构智能表面(RIS)是一种很有前途的解决方案,它可以操纵电磁波来提高传输质量。在本研究中,我们引入了一种新方法,利用量子近似优化算法(QAOA)在多径环境中有效配置 RIS。我们应用自旋玻璃(SG)理论框架来描述混沌系统,并结合可变噪声模型,提出了一种基于量子的最小化算法,用于在受多径衰落影响的各种电磁场景中优化 RIS。该方法涉及使用一个数学模型训练一个参数化量子电路,该模型随 RIS 的大小而缩放。当应用于不同的电磁场景时,它能直接确定最佳的 RIS 配置。这种方法无需大量数据集进行训练、验证和测试,简化并加快了训练过程。此外,该算法无需针对每个方案重新运行。特别是,我们的分析考虑了一个有一个发射天线、多个接收天线和不同噪声水平的系统。结果表明,QAOA 在无噪声和有噪声的环境中都能提高 RIS 的性能,突出了量子计算在解决 RIS 优化的复杂性和提高无线网络性能方面的潜力。
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引用次数: 0
Efficient Physical Truncation of Low-Frequency ATEM Problems in Specific Geometries by Using Random Forest Regression Based PMM Model 基于随机森林回归的PMM模型对特定几何形状低频ATEM问题的有效物理截断
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-11-05 DOI: 10.1109/JMMCT.2024.3491835
Naixing Feng;Shuiqing Zeng;Huan Wang;Yuxian Zhang;Zhixiang Huang
In addressing the challenges posed by low-frequency airborne transient electromagnetics (ATEM), it is necessary to take into account the considerations of accuracy, computational efficiency, and the scale and intricacy of the physical domain. This becomes particularly crucial when dealing with large-scale, complex issues, with the aim of mitigating the computational resource burden associated with managing such complexities. In order to further meet the aforementioned criteria, a Perfectly Matched Monolayer (PMM) model has been introduced into the Random Forest Regression (RFR) framework. The RFR-based PMM model has demonstrated exceptional accuracy through the utilization of Bagging's integrated learning methodology, while also reducing the computational resource requirements for processing time. In comparison to traditional machine learning models, our model has exhibited significant advantages in terms of training stability, model efficiency, and parallelization capabilities. To verify and establish the reliability of this approach, three-dimensional numerical simulations of the ATEM problem were conducted. The proposed model in this study has exhibited superior accuracy, efficiency, and versatility in addressing the low-frequency ATEM problem, integrating with the FDTD method.
在解决低频机载瞬变电磁(ATEM)带来的挑战时,有必要考虑到精度,计算效率以及物理领域的规模和复杂性。在处理大规模、复杂的问题时,这一点尤其重要,因为它的目的是减轻与管理此类复杂性相关的计算资源负担。为了进一步满足上述标准,在随机森林回归(RFR)框架中引入了完全匹配单层(PMM)模型。基于rfr的PMM模型通过使用Bagging的集成学习方法显示出卓越的准确性,同时还减少了处理时间的计算资源需求。与传统的机器学习模型相比,我们的模型在训练稳定性、模型效率和并行化能力方面表现出显著的优势。为了验证和建立该方法的可靠性,对ATEM问题进行了三维数值模拟。本研究中提出的模型与FDTD方法相结合,在解决低频ATEM问题方面表现出优越的精度、效率和通用性。
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引用次数: 0
Nested Pseudo Skeleton Approximation Algorithm for Generating ${mathcal H}^{2}$-Matrix Representations of Electrically Large Surface Integral Equations 生成电动大表面积分方程的 ${mathcal H}^{2}$ 矩阵表示的嵌套伪骨架逼近算法
IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-10-29 DOI: 10.1109/JMMCT.2024.3487779
Chang Yang;Dan Jiao
In this paper, we develop a kernel-independent and purely algebraic method, Nested Pseudo-Skeleton Approximation (NPSA) algorithm, to generate a low-rank ${mathcal H}^{2}$-matrix representation of electrically large surface integral equations (SIEs). The algorithm only uses $O(NlogN)$ entries of the original dense SIE matrix of size $N$ to generate the ${mathcal H}^{2}$-representation. It also provides a closed-form expression of the cluster bases and coupling matrices with respect to original matrix entries. The resultant ${mathcal H}^{2}$-matrix is then directly solved for electrically large scattering analysis. Numerical experiments have demonstrated the accuracy and efficiency of the proposed algorithm. In addition to surface integral equations, the proposed algorithms can also be applied to solving other electrically large integral equations.
本文开发了一种独立于内核的纯代数方法--嵌套伪骨架逼近算法(NPSA),用于生成电大曲面积分方程(SIE)的低秩${mathcal H}^{2}$矩阵表示。该算法只需使用大小为 $N$ 的原始稠密 SIE 矩阵的 $O(NlogN)$ 条目即可生成 ${mathcal H}^{2}$ 表示。它还提供了关于原始矩阵条目的簇基和耦合矩阵的闭式表达。由此得到的 ${mathcal H}^{2}$ 矩阵可以直接求解,用于电大散射分析。数值实验证明了所提算法的准确性和高效性。除了曲面积分方程,所提出的算法还可用于求解其他电大积分方程。
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引用次数: 0
期刊
IEEE Journal on Multiscale and Multiphysics Computational Techniques
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