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基于奇异值分解的方法求解目标内谐振时的散射截面

Calculation of Scattering Cross Section at the Interior Resonance Based on the Singular Value Decomposition

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【作者】 孙玉发徐善驾

【Author】 SUN Yu-fa,XU Shan-jia (Dept.of Electronic Engineering and Information Science,University of Science and Technology of China,Hefei,Anhui 230027,China)

【机构】 中国科学技术大学电子工程与信息科学系!安徽合肥230027

【摘要】 表面积分方程已被广泛地用来分析电磁散射问题 ,但在离散的内谐振频率点上 ,用矩量法求解积分方程将得到错误的结果 .本文基于电场积分方程 ,应用奇异值分解找出谐振模电流 ,并采用正交化方法将其舍去 ,从而得到非谐振模电流的分布 .文中计算了一无限长理想导体圆柱内谐振时的散射截面 ,所得结果与解析解一致 ,并对一无限长理想导体三角柱的前向散射截面进行了计算 ,结果表明本文方法是有效和准确的 .

【Abstract】 Surface integral equation formulations have been widely used for the analysis of electromagnetic scattering problems,however,the wrong calculated results will be given using the method of moments at the discrete resonant frequencies.In this paper,based on the electric field integral equation,the singular value decomposition technique is used for finding out the current of the resonant mode,and the current distribution of the non-resonant mode can be obtained by filtering out the resonant mode current using the orthogonalized method.The scattering cross section is calculated for an infinitely long,perfectly conducting circular cylinder at the interior resonance,and the obtained results are in good agreement with the analytical results.The forward scattering cross section of an infinite isosceles triangular cylinder is also calculated.It is shown that the present method is valid and accurate.

【基金】 国家自然科学基金 (No .69971 0 0 1 );教育部年度重点科研基金 (No.0 0 1 79)
  • 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2001年07期
  • 【分类号】TN011
  • 【被引频次】8
  • 【下载频次】156
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