When calculating electromagnetic scattering using method of moments （MoM）, integral of the singular term has a significant influence on the results. This paper transforms the singular surface integral to the contour...When calculating electromagnetic scattering using method of moments （MoM）, integral of the singular term has a significant influence on the results. This paper transforms the singular surface integral to the contour integral. The integrand is expanded to Taylor series and the integral results in a closed form. The cut-off error is analyzed to show that the series converges fast and only about 2 terms can agree wel with the accurate result. The comparison of the perfect electric conductive （PEC） sphere＇s bi-static radar cross section （RCS） using MoM and the accurate method validates the feasibility in manipulating the singularity. The error due to the facet size and the cut-off terms of the series are analyzed in examples.展开更多
An efficient hybrid method based on the method of moments （MOM） and physical optics （PO） for the analysis of radiation characteristics of an electrically large antenna-radome system is presented. Specifically, MOM...An efficient hybrid method based on the method of moments （MOM） and physical optics （PO） for the analysis of radiation characteristics of an electrically large antenna-radome system is presented. Specifically, MOM is first applied to the antenna to find the current on its surface, and then the equivalent PO currents produced by the antenna radiation are assumed on the radome wall. When the coupling of the PO currents and antenna current is considered, the coupling matrix is divided into a series of partial matrices, in order to deduce the memory requirement and accelerate the evaluation process. Numerical results indicate that the proposed hybrid PO-MOM method is accurate and efficient.展开更多
This paper introduces the principle of the multi-level method of moments (MoM) and its application in the analysis of the wire-antenna arrays. The multi-level MoM broadens the usage of the iterative methods in the MoM...This paper introduces the principle of the multi-level method of moments (MoM) and its application in the analysis of the wire-antenna arrays. The multi-level MoM broadens the usage of the iterative methods in the MoM. Our numerical results show that when applying it to the wire-antenna array analysis with the consideration of the mutual coupling between elements, it can allow a rapid and accurate evaluation of the current distribution on the antennas, and the computational cost is less, especially when the number of antennas is large.展开更多
In this paper, a hybrid method (hybrid PMM-MoM method) is presented for the effective and accurate analysis of finite periodic structures. This method divides a finite periodic structure into two parts. The inner part...In this paper, a hybrid method (hybrid PMM-MoM method) is presented for the effective and accurate analysis of finite periodic structures. This method divides a finite periodic structure into two parts. The inner part of an approximate infinite periodic structure is analyzed by periodic method of moment (PMM);the outer part is then analyzed by method of moments (MoM). For the finite periodic structures, the accuracy of the new method is much better than that of the pure PMM, and is almost the same as that of pure MoM. Because pure PMM uses the periodic boundary conditions, it takes much less memory resources and computation time. For hybrid PMM-MoM method, because the inner part is calculated by PMM, the calculation work concentrates on the outer part. Consequently, compared with the exact MoM, the new method saves much more memory resources and computation time, which provides a drastic reduction of unknowns.展开更多
为了克服传统电磁场仿真方法不能有效解决某些特殊结构电磁辐射问题的弊端,充分借鉴矩量法(Method of Moment,MoM)和物理光学法(PO)各自的优点,提出一种MoM-PO混合方法。MoM-PO混合方法将天线划分为2个区域,并将2个区域用三角面元剖分,...为了克服传统电磁场仿真方法不能有效解决某些特殊结构电磁辐射问题的弊端,充分借鉴矩量法(Method of Moment,MoM)和物理光学法(PO)各自的优点,提出一种MoM-PO混合方法。MoM-PO混合方法将天线划分为2个区域,并将2个区域用三角面元剖分,并在2个区域采用相同的屋顶基函数(RWG)来表征各自的表面电流,保证了2个区域边界上的电流连续性。分别在2个区域上应用MoM和PO,得到离散的矩阵方程,求解后即得电流分布。经数值算例验证,MoM-PO混合方法较传统的高频法,精度大大提高,与矩量法相比又在很大程度上减少了计算量,缩短了计算时间,是一种有效的电磁场计算方法。展开更多
针对包含精细结构的电大尺寸目标电磁散射快速计算问题,提出了一种计算包含精细结构的电大尺寸目标电磁散射问题的基于矩阵降维的混合算法。该方法在Rao-Wilton-Glisson基函数矩量法(method of moment,MoM)的基础上,对目标区域进行划分...针对包含精细结构的电大尺寸目标电磁散射快速计算问题,提出了一种计算包含精细结构的电大尺寸目标电磁散射问题的基于矩阵降维的混合算法。该方法在Rao-Wilton-Glisson基函数矩量法(method of moment,MoM)的基础上,对目标区域进行划分,完成阻抗矩阵的分块和未知量的分离,再由矩量区与物理光学(physical optics,PO)区之间的电流相互作用构造耦合转移矩阵和激励转移矩阵,从而建立两个区域未知量之间的线性关系,进而完成对阻抗矩阵的降维,最终从矩阵运算角度构建了一种MoM-PO混合算法。其中,使用等效电偶极子模型简化双重积分计算,进一步减少矩阵元素的计算量;阻抗矩阵的阶数大幅减少,避免了大规模矩阵方程的求解计算。算例结果表明,与传统的低频算法相比,该算法既保证了计算精度,又提高了计算效率。展开更多
The Asymptotic Waveform Evaluation (AWE) technique is an extrapolation method that provides a reduced-order model of linear system and has already been successfully used to analyze wideband electromagnetic scattering ...The Asymptotic Waveform Evaluation (AWE) technique is an extrapolation method that provides a reduced-order model of linear system and has already been successfully used to analyze wideband electromagnetic scattering problems. As the number of unknowns increases, the size of Method Of Moments (MOM) impedance matrix grows very rapidly, so it is a prohibitive task for the computation of wideband Radar Cross Section (RCS) from electrically large object or multi-objects using the traditional AWE technique that needs to solve directly matrix inversion. In this paper, an AWE technique based on the Characteristic Basis Function (CBF) method, which can reduce the matrix size to a manageable size for direct matrix inversion, is proposed to analyze electromagnetic scattering from multi-objects over a given frequency band. Numerical examples are presented to il-lustrate the computational accuracy and efficiency of the proposed method.展开更多
基金supported by the National Natural Science Foundationof China for the Youth(51307004)
文摘When calculating electromagnetic scattering using method of moments （MoM）, integral of the singular term has a significant influence on the results. This paper transforms the singular surface integral to the contour integral. The integrand is expanded to Taylor series and the integral results in a closed form. The cut-off error is analyzed to show that the series converges fast and only about 2 terms can agree wel with the accurate result. The comparison of the perfect electric conductive （PEC） sphere＇s bi-static radar cross section （RCS） using MoM and the accurate method validates the feasibility in manipulating the singularity. The error due to the facet size and the cut-off terms of the series are analyzed in examples.
基金the National Natural Science Foundation of China (60471040)
文摘An efficient hybrid method based on the method of moments （MOM） and physical optics （PO） for the analysis of radiation characteristics of an electrically large antenna-radome system is presented. Specifically, MOM is first applied to the antenna to find the current on its surface, and then the equivalent PO currents produced by the antenna radiation are assumed on the radome wall. When the coupling of the PO currents and antenna current is considered, the coupling matrix is divided into a series of partial matrices, in order to deduce the memory requirement and accelerate the evaluation process. Numerical results indicate that the proposed hybrid PO-MOM method is accurate and efficient.
文摘This paper introduces the principle of the multi-level method of moments (MoM) and its application in the analysis of the wire-antenna arrays. The multi-level MoM broadens the usage of the iterative methods in the MoM. Our numerical results show that when applying it to the wire-antenna array analysis with the consideration of the mutual coupling between elements, it can allow a rapid and accurate evaluation of the current distribution on the antennas, and the computational cost is less, especially when the number of antennas is large.
文摘In this paper, a hybrid method (hybrid PMM-MoM method) is presented for the effective and accurate analysis of finite periodic structures. This method divides a finite periodic structure into two parts. The inner part of an approximate infinite periodic structure is analyzed by periodic method of moment (PMM);the outer part is then analyzed by method of moments (MoM). For the finite periodic structures, the accuracy of the new method is much better than that of the pure PMM, and is almost the same as that of pure MoM. Because pure PMM uses the periodic boundary conditions, it takes much less memory resources and computation time. For hybrid PMM-MoM method, because the inner part is calculated by PMM, the calculation work concentrates on the outer part. Consequently, compared with the exact MoM, the new method saves much more memory resources and computation time, which provides a drastic reduction of unknowns.
文摘为了克服传统电磁场仿真方法不能有效解决某些特殊结构电磁辐射问题的弊端,充分借鉴矩量法(Method of Moment,MoM)和物理光学法(PO)各自的优点,提出一种MoM-PO混合方法。MoM-PO混合方法将天线划分为2个区域,并将2个区域用三角面元剖分,并在2个区域采用相同的屋顶基函数(RWG)来表征各自的表面电流,保证了2个区域边界上的电流连续性。分别在2个区域上应用MoM和PO,得到离散的矩阵方程,求解后即得电流分布。经数值算例验证,MoM-PO混合方法较传统的高频法,精度大大提高,与矩量法相比又在很大程度上减少了计算量,缩短了计算时间,是一种有效的电磁场计算方法。
文摘针对包含精细结构的电大尺寸目标电磁散射快速计算问题,提出了一种计算包含精细结构的电大尺寸目标电磁散射问题的基于矩阵降维的混合算法。该方法在Rao-Wilton-Glisson基函数矩量法(method of moment,MoM)的基础上,对目标区域进行划分,完成阻抗矩阵的分块和未知量的分离,再由矩量区与物理光学(physical optics,PO)区之间的电流相互作用构造耦合转移矩阵和激励转移矩阵,从而建立两个区域未知量之间的线性关系,进而完成对阻抗矩阵的降维,最终从矩阵运算角度构建了一种MoM-PO混合算法。其中,使用等效电偶极子模型简化双重积分计算,进一步减少矩阵元素的计算量;阻抗矩阵的阶数大幅减少,避免了大规模矩阵方程的求解计算。算例结果表明,与传统的低频算法相比,该算法既保证了计算精度,又提高了计算效率。
基金Supported by the National Natural Science Foundation of China (No. 60771034 )the 211 Project of Anhui University
文摘The Asymptotic Waveform Evaluation (AWE) technique is an extrapolation method that provides a reduced-order model of linear system and has already been successfully used to analyze wideband electromagnetic scattering problems. As the number of unknowns increases, the size of Method Of Moments (MOM) impedance matrix grows very rapidly, so it is a prohibitive task for the computation of wideband Radar Cross Section (RCS) from electrically large object or multi-objects using the traditional AWE technique that needs to solve directly matrix inversion. In this paper, an AWE technique based on the Characteristic Basis Function (CBF) method, which can reduce the matrix size to a manageable size for direct matrix inversion, is proposed to analyze electromagnetic scattering from multi-objects over a given frequency band. Numerical examples are presented to il-lustrate the computational accuracy and efficiency of the proposed method.
