The surface–volume–surface electric field integral equation(SVS-EFIE)can lead to complex equations,laborious implementation,and unacceptable computational complexity in the method of moments(MoM).Therefore,a general...The surface–volume–surface electric field integral equation(SVS-EFIE)can lead to complex equations,laborious implementation,and unacceptable computational complexity in the method of moments(MoM).Therefore,a general matrix equation(GME)is proposed for electromagnetic scattering from arbitrary metal–dielectric composite objects,and its enhanced solution is presented in this paper.In previous works,MoM solution formulation of SVSEFIE considering only three-region metal–dielectric composite scatters was presented,and the two-stage process resulted in two integral operators in SVS-EFIE,which is arduous to implement and is incapable of reducing computational complexity.To address these difficulties,GME,which is versatile for homogeneous objects and composite objects consisting of more than three sub-regions,is proposed for the first time.Accelerated solving policies are proposed for GME based on coupling degree concerning the spacing between sub-regions,and the coupling degree standard can be adaptively set to balance the accuracy and efficiency.In this paper,the reformed addition theorem is applied for the strong coupling case,and the iterative method is presented for the weak coupling case.Parallelism can be easily applied in the enhanced solution.Numerical results demonstrate that the proposed method requires only 11.6%memory and 11.8%CPU time on average compared to the previous direct solution.展开更多
为改善传统方法分析旋转对称涂覆导体电磁散射问题的效率,提出了一种高效分析方法.该方法在介质表面建立电磁流混合场积分方程(Electric and Magnetic Current Combined Field Integral Equation,JMCFIE),在导体表面建立混合场积分方程(...为改善传统方法分析旋转对称涂覆导体电磁散射问题的效率,提出了一种高效分析方法.该方法在介质表面建立电磁流混合场积分方程(Electric and Magnetic Current Combined Field Integral Equation,JMCFIE),在导体表面建立混合场积分方程(Combined Field Integral Equation,CFIE),利用了旋转对称体在空间上的旋转周期性,只需要对表面的母线进行剖分,具有未知量少且阻抗矩阵条件数好的特点.根据等效原理与边界条件推导了JMCFIE-CFIE方程,并与传统的PMCHW-CFIE方法对比了求解效率.数值算例表明该方法能明显改善方程的收敛性.展开更多
The computation of the multivariate normal integral over a Complex Subspace is a challenge, especially when the inte-gration region is of a complex nature. Such integrals are met with, for example, in the generalized ...The computation of the multivariate normal integral over a Complex Subspace is a challenge, especially when the inte-gration region is of a complex nature. Such integrals are met with, for example, in the generalized Neyman-Pearson criterion, conditional Bayesian problems of testing many hypotheses and so on. The Monte-Carlo methods could be used for their computation, but at increasing dimensionality of the integral the computation time increases unjustifiedly. Therefore a method of computation of such integrals by series after reduction of dimensionality to one without information loss is offered below. The calculation results are given.展开更多
基金Project supported by the National Key Research and Development Program,China(No.2020YFC2201302)。
文摘The surface–volume–surface electric field integral equation(SVS-EFIE)can lead to complex equations,laborious implementation,and unacceptable computational complexity in the method of moments(MoM).Therefore,a general matrix equation(GME)is proposed for electromagnetic scattering from arbitrary metal–dielectric composite objects,and its enhanced solution is presented in this paper.In previous works,MoM solution formulation of SVSEFIE considering only three-region metal–dielectric composite scatters was presented,and the two-stage process resulted in two integral operators in SVS-EFIE,which is arduous to implement and is incapable of reducing computational complexity.To address these difficulties,GME,which is versatile for homogeneous objects and composite objects consisting of more than three sub-regions,is proposed for the first time.Accelerated solving policies are proposed for GME based on coupling degree concerning the spacing between sub-regions,and the coupling degree standard can be adaptively set to balance the accuracy and efficiency.In this paper,the reformed addition theorem is applied for the strong coupling case,and the iterative method is presented for the weak coupling case.Parallelism can be easily applied in the enhanced solution.Numerical results demonstrate that the proposed method requires only 11.6%memory and 11.8%CPU time on average compared to the previous direct solution.
文摘为改善传统方法分析旋转对称涂覆导体电磁散射问题的效率,提出了一种高效分析方法.该方法在介质表面建立电磁流混合场积分方程(Electric and Magnetic Current Combined Field Integral Equation,JMCFIE),在导体表面建立混合场积分方程(Combined Field Integral Equation,CFIE),利用了旋转对称体在空间上的旋转周期性,只需要对表面的母线进行剖分,具有未知量少且阻抗矩阵条件数好的特点.根据等效原理与边界条件推导了JMCFIE-CFIE方程,并与传统的PMCHW-CFIE方法对比了求解效率.数值算例表明该方法能明显改善方程的收敛性.
文摘The computation of the multivariate normal integral over a Complex Subspace is a challenge, especially when the inte-gration region is of a complex nature. Such integrals are met with, for example, in the generalized Neyman-Pearson criterion, conditional Bayesian problems of testing many hypotheses and so on. The Monte-Carlo methods could be used for their computation, but at increasing dimensionality of the integral the computation time increases unjustifiedly. Therefore a method of computation of such integrals by series after reduction of dimensionality to one without information loss is offered below. The calculation results are given.
