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Single-Source equivalence principle algorithm for the Analysis of Complex Structures

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS 2014年 13卷 1255-1258页

作者： Shao, Hanru Hu, Jun Chew, Weng Cho UESTC Sch Elect Engn Chengdu 611731 Peoples R China Univ Illinois Dept Elect & Comp Engn Urbana IL 61801 USA

In this letter, a novel single-source equivalence principle algorithm is presented. In the traditional equivalence principle algorithm (EPA), double sources, which are equivalence electric and magnetic currents, are constructed on the equivalence surface to replace the currents of the enclosed scatterers. According to the extinction theorem, electric current is related to magnetic current. Therefore, only electric or magnetic current, called single-source, is the final unknown on the equivalence surface. The accuracy of two kinds of single-source EPA is investigated. Multi-level Fast Multipole algorithm (MLFMA) is used to accelerate the couplings between equivalence surfaces. Numerical results demonstrate the accuracy and efficiency of the proposed method.

关键词： Domain decomposition equivalence principle algorithm integral equation Multilevel Fast Multipole algorithm periodic array

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Solving the Radiation Problem of Large-Scale Antenna Array by the Accelerated Periodic equivalence principle algorithm

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IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS 2014年 13卷 1195-1198页

作者： Zhang, Kaizhi Ouyang, Jun Yang, Feng Univ Elect Sci & Technol China Chengdu 610054 Peoples R China

this letter, an updated periodic equivalence principle algorithm is proposed to solve the radiation problem of large-scale antenna array when the antenna elements are placed closely. The equivalence surfaces enclosing the antenna elements are touched with each other, and the elapsed time in the translation procedure of the periodic equivalence principle algorithm will decrease. The efficiency will increase correspondingly. The numerical results will reveal the feasibility of the proposed method.

关键词： equivalence principle algorithm large-scale array periodic Green's function

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Research on electromagnetic scattering and radio wave propagation algorithm based on machine learning in half-space

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AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS 2024年 176卷

作者： Li, Anqi Yin, Chengyou Zhang, Qianqian Natl Univ Def Technol Coll Elect Engn Huangshan Rd 460 Hefei 230037 Anhui Peoples R China

In this paper, to investigate the problem of radio wave propagation in complex environments, a new algorithm is proposed based on the equivalence principle algorithm and the domain decomposition method to rapidly and accurately predict electromagnetic scattering and radio wave propagation in half-space. First, equivalent surfaces are introduced to decompose the obstacle region and replace the scattering effect of obstacles within the equivalent surfaces with equivalent input and output electromagnetic currents. Then, the operator S, representing the relationship between the input and output equivalent electromagnetic currents on the equivalent surfaces, and the operator T, representing the interactions between the equivalent electromagnetic currents on each equivalent surface, are derived;this allows the calculation process of the overall spatial field in a complex environment to be simplified to the iterative calculation process of operators S and T. To reduce the complexity of calculating S, a neural network embedded with physical information is introduced to replace the calculation process. Finally, the training results are applied to an example and compared with the theoretical numerical results yielded by the method of moments in different cases with obstacles. The results reveal that the new method proposed in this paper is highly accurate and achieves a substantial improvement in calculation speed. Therefore, our proposed algorithm provides a new and reliable method for calculating the spatial field in complex environments.

关键词： Electromagnetic scattering Radio wave propagation Machine learning Domain decomposition method equivalence principle algorithm

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Analyzing Large-Scale Arrays Using Tangential equivalence principle algorithm With Characteristic Basis Functions

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PROCEEDINGS OF THE IEEE 2013年第2期101卷 414-422页

作者： Shao, Hanru Hu, Jun Lu, Wenchun Guo, Han Nie, Zaiping Univ Elect Sci & Technol China Sch Elect Engn Chengdu 611731 Peoples R China

In this paper, the tangential equivalence principle algorithm (T-EPA) combined with characteristic basis functions (CBFs) is presented to analyze the electromagnetic scattering of large-scale antenna arrays. The T-EPA is a kind of domain decomposition scheme for the electromagnetic scattering and radiation problems based on integral equation (IE). CBFs are macrobasis functions which are constructed by conventional local basis functions. By utilizing CBFs together with the T-EPA, the scattering analysis of large-scale arrays will be much more efficient with decreased unknowns compared with the original T-EPA. Further, the multilevel fast multipole algorithm (MLFMA) is applied to accelerate the matrix-vector multiplication in the T-EPA. Numerical results are shown to demonstrate the accuracy and efficiency of the proposed technique.

关键词： Characteristic basis function (CBF) electromagnetic scattering equivalence principle algorithm large scale multilevel fast multipole algorithm (MLFMA) periodic array

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Loop-Tree Free Augmented equivalence principle algorithm for Low-Frequency Problems

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MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2013年第10期55卷 2475-2479页

作者： Ma, Zu-Hui Jiang, Li Jun Chew, Weng Cho Univ Hong Kong Dept Elect & Elect Engn Hong Kong Hong Kong Peoples R China Univ Illinois Dept Elect & Comp Engn Urbana IL 61801 USA

In this article, we describe a newly developed integral equation domain decomposition method for solving complex low frequency electromagnetic problems. This method is based on low frequency augmented equivalence principle algorithm (EPA) with the augmented electric field integral equation (A-EFIE). The A-EFIE provides a stable solution in the low-frequency regime as it includes both charge and current as unknowns to avoid the imbalance between the vector potential and the scalar potential. Based on similar idea, the augmented EPA can suppress the projection error resulting from low-frequency problems of the normal EPA. Combining these two methods, the proposed algorithm can be used in domain decomposition problems and is numerically stable at low frequencies. Several numerical examples are provided to verify its validity. (c) 2013 Wiley Periodicals, Inc.

关键词： domain decomposition method equivalence principle algorithm augmented-electric field integral equation

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A Novel Hybrid Method with equivalence principle algorithm and Physical Optics for Antenna Problems on Electrically Large Platform

A Novel Hybrid Method with Equivalence Principle Algorithm a...

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IEEE International Symposium on Antennas and Propagation (APSURSI)/USNC/URSI National Radio Science Meeting

作者： Zhang, K. Z. Zhang, J. Ouyang, J. Yang, F. Univ Elect Sci & Technol China UESTC Sch Elect Engn Chengdu 611731 Peoples R China

ISBN: (纸本)9781424495610

an integral equation approach based on domain decomposition method (DDM) is presented to solve antennas problems on electrically large platform. This proposed approach combines equivalence principle algorithm (EPA) and physical optics (PO). The number of unknowns decreases and computational efficiency increases. More importantly, EPA-PO avoids iterative Multi-Region procedure and obtains the final currents directly after considering interactions of different sub-domains. A numerical example will be shown to validate the approach.

关键词： Domain decomposition method equivalence principle algorithm physical optics electrically large platform

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A Novel Hybrid Method with equivalence principle algorithm and Physical Optics for Antenna Problems on Electrically Large Platform

A Novel Hybrid Method with Equivalence Principle Algorithm a...

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2011 IEEE International Symposium on Antennas and Propagation(APSURSI 2011)

作者： K.Z. Zhang J. Zhang J. Ouyang F. Yang School of Electronic Engineering University of Electronic Science and Technology of China (UESTC) Chengdu 611731 P. R. China

ISBN: (纸本)9781424495627;9781424495634

An integral equation approach based on domain decomposition method (DDM) is presented to solve antennas problems on electrically large platform. This proposed approach combines equivalence principle algorithm (EPA) and physical optics (PO). The number of unknowns decreases and computational efficiency increases. More importantly, EPA-PO avoids iterative Multi-Region procedure and obtains the final currents directly after considering interactions of different sub-domains. A numerical example will be shown to validate the approach.

关键词： Domain decomposition method equivalence principle algorithm physical optics electrically large platform physical optics equivalence principle Electricity ANTENNA Computational efficiency Platform antennae

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Marching-on-in-Degree Solution of the Transient Scattering From Multiple Bodies of Revolution

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2016年第1期64卷 321-326页

作者： Fan, Z. H. He, Z. Chen, R. S. Nanjing Univ Sci & Technol Dept Commun Engn Nanjing 210094 Jiangsu Peoples R China

An efficient marching-on-in-degree (MOD) scheme is proposed to analyze the transient EM scattering from multiple conducting bodies of revolution (MBoRs) with arbitrary axis using the equivalence principle algorithm (EPA). The self-acting of each BoR is calculated by taking advantage of the rotationally symmetrical property in its local BoR coordinate system. The interaction between any two BoRs is replaced by the one between their equivalence spheres which enclose corresponding BoR with EPA. In this way, the transient scattering properties of the randomly distributed MBoRs can be obtained with high efficiency by the use of the BOR basis functions and the weighted Laguerre polynomial. Numerical results are presented to demonstrate the accuracy and efficiency of proposed algorithm.

关键词： equivalence principle algorithm marching-on-in-degree (MOD) method multiple body of revolution randomly distributed

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A TIME-DOMAIN equivalence principle AND ITS MARCHING-ON-IN-DEGREE SOLUTION

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MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2014年第10期56卷 2415-2422页

作者： Shi, Yan Wang, Jin Liang, Chang-Hong Xidian Univ Sch Elect Engn Xian Shaanxi Peoples R China

A time-domain equivalence principle algorithm (EPA) and its marching-on-in-degree-based scheme are presented for analyzing transient electromagnetic scattering from three-dimensional multiple metallic objects of arbitrary shapes. The equivalence principle allows the replacement of the unknown currents assigned to the original scatterer by new unknowns on the equivalence surface that encloses the scatterer. In this manner, the use of EPA reduces the number of unknowns and improves the conditioning of corresponding matrix system. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions and Galerkin temporal testing procedure, the time variable is eliminated so that the resultant matrix equations are recursively solved in term of the orders of temporal testing functions. Numerical results show good performance of proposed algorithm. (C) 2014 Wiley Periodicals, Inc.

关键词： time-domain equivalence principle algorithm marching-on-in-degree weighted Laguerre polynomials

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