基于体面积分方程的快速分析方法研究与应用
发布时间：2018-11-29 09:04
【摘要】：高效矩量法(MoM)适合于电大尺寸目标电磁散射特性的计算分析。本文以矩量法分析金属介质复合目标的电磁散射特性为背景,以自适应交叉近似算法(ACA)和特征基函数法(CBFM)等高效数值算法为基础,在多角度单站散射、宽频带单站散射的快速分析方法以及迭代求解的加速方法上进行进一步的研究。主要研究工作如下:1.利用快速自适应交叉近似(FACA)算法加速目标多角度散射特性的分析。通过FACA算法对多角度入射平面波形成的激励矩阵进行分解、压缩并表示成三个矩阵相乘的分解式,再利用该分解式改变了需要求解的矩阵方程形式,从而有效减少了MoM矩阵方程求解的次数,降低了总计算复杂度。2.基于宽带特征基函数(UCBFs),利用缩减阻抗矩阵插值技术加速目标的宽频带单站RCS的计算。基于小波特性,特征基函数被拓展为宽带特征基函数,并用于生成采样频率点的缩减阻抗矩阵。缩减阻抗矩阵插值技术通过插值方法直接获取每个分析频点下的缩减阻抗矩阵,提升了矩阵填充效率,进一步减少了计算时间。3.利用自适应采样技术优化的稀疏化自适应交叉近似(SPACA)算法及其与特征基函数法(CBFM)的混合方法加速MoM矩阵方程的迭代求解。在各种低秩分解算法中,SPACA在50?以内的导体目标的RCS计算中优势明显,本文将其拓展到分析金属介质复合目标的电磁散射特性计算中;针对其不足,进一步引入CBFM,有效缩减了迭代求解方法所占用的内存和计算时间。
[Abstract]:The high efficient moment method (MoM) is suitable for the calculation and analysis of electromagnetic scattering characteristics of electrically large size targets. In this paper, based on the analysis of electromagnetic scattering characteristics of metal dielectric composite targets by the method of moments, and based on the high efficiency numerical algorithms such as adaptive cross approximation algorithm (ACA) and eigenbase function method (CBFM), the scattering is carried out in single station at multiple angles. The fast analysis method of wide-band monostatic scattering and the acceleration method of iterative solution are further studied. The main research work is as follows: 1. The fast adaptive cross approximation (FACA) algorithm is used to accelerate the analysis of multi-angle scattering. The excitation matrix formed by multi-angle incident plane wave is decomposed by FACA algorithm, which is compressed and expressed as a factorization of three matrices multiplying. The matrix equation that needs to be solved is changed by using the decomposition formula. Thus, the number of MoM matrix equations is reduced effectively, and the total computational complexity is reduced. 2. 2. Based on the wideband feature basis function (UCBFs), the reduced impedance matrix interpolation technique is used to accelerate the calculation of the wide-band mono-static RCS of the target. Based on the wavelet characteristics, the feature basis function is extended to the wideband feature basis function and used to generate the reduced impedance matrix of sampling frequency points. The reduced impedance matrix interpolation technique directly acquires the reduced impedance matrix at each analysis frequency by interpolation method, which improves the filling efficiency of the matrix and further reduces the calculation time. The sparse adaptive crossover approximation (SPACA) algorithm optimized by adaptive sampling technique and its hybrid method with the eigenbase function method (CBFM) are used to accelerate the iterative solution of MoM matrix equation. In all kinds of low rank decomposition algorithms, SPACA is in the range of 50? In this paper, the RCS calculation of the conductor target is extended to the analysis of the electromagnetic scattering characteristics of the metal dielectric composite target. In order to solve this problem, CBFM, is introduced to reduce the memory and computing time.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O441;O241.6
本文编号：2364574
[Abstract]:The high efficient moment method (MoM) is suitable for the calculation and analysis of electromagnetic scattering characteristics of electrically large size targets. In this paper, based on the analysis of electromagnetic scattering characteristics of metal dielectric composite targets by the method of moments, and based on the high efficiency numerical algorithms such as adaptive cross approximation algorithm (ACA) and eigenbase function method (CBFM), the scattering is carried out in single station at multiple angles. The fast analysis method of wide-band monostatic scattering and the acceleration method of iterative solution are further studied. The main research work is as follows: 1. The fast adaptive cross approximation (FACA) algorithm is used to accelerate the analysis of multi-angle scattering. The excitation matrix formed by multi-angle incident plane wave is decomposed by FACA algorithm, which is compressed and expressed as a factorization of three matrices multiplying. The matrix equation that needs to be solved is changed by using the decomposition formula. Thus, the number of MoM matrix equations is reduced effectively, and the total computational complexity is reduced. 2. 2. Based on the wideband feature basis function (UCBFs), the reduced impedance matrix interpolation technique is used to accelerate the calculation of the wide-band mono-static RCS of the target. Based on the wavelet characteristics, the feature basis function is extended to the wideband feature basis function and used to generate the reduced impedance matrix of sampling frequency points. The reduced impedance matrix interpolation technique directly acquires the reduced impedance matrix at each analysis frequency by interpolation method, which improves the filling efficiency of the matrix and further reduces the calculation time. The sparse adaptive crossover approximation (SPACA) algorithm optimized by adaptive sampling technique and its hybrid method with the eigenbase function method (CBFM) are used to accelerate the iterative solution of MoM matrix equation. In all kinds of low rank decomposition algorithms, SPACA is in the range of 50? In this paper, the RCS calculation of the conductor target is extended to the analysis of the electromagnetic scattering characteristics of the metal dielectric composite target. In order to solve this problem, CBFM, is introduced to reduce the memory and computing time.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O441;O241.6
【参考文献】
相关期刊论文 前1条
1 王仲根;孙玉发;王国华;杨明;;应用通用特征基函数求解目标宽带雷达散射截面[J];电波科学学报;2015年01期
相关博士学位论文 前1条
1 袁家德;曲面微带天线的电磁仿真技术研究[D];南京航空航天大学;2010年
，本文编号：2364574
本文链接：https://www.wllwen.com/kejilunwen/yysx/2364574.html
