| 引用本文: | 童创明,袁乃昌,洪伟.Lanczos技术加速第二类Fredholm方程的快速求解.[J].国防科技大学学报,2002,24(1):44-48.[点击复制] |
| TONG Chuangming,YUAN Naichang,HONG Wei.Fast Calculation of the Fredholm Equation of the Second Kind Based on Lanczos Technique[J].Journal of National University of Defense Technology,2002,24(1):44-48[点击复制] |
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| Lanczos技术加速第二类Fredholm方程的快速求解 |
| 童创明1, 袁乃昌2, 洪伟1 |
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(1.东南大学毫米波国家重点实验室，江苏 南京 210096;2.国防科技大学 电子科学与工程学院，湖南 长沙 410073)
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| 摘要: |
| 介绍了Lanczos技术加速第二类Fredholm方程求解的基本原理，结合矩量法预测了任意形状均匀介质柱体的单站雷达散射截面RCS。首先建立介质柱中的电场积分方程，然后采用矩量法将积分方程化为矩阵方程，再利用Lanczos技术求解矩阵方程得到介质柱内电场。计算结果表明，Lanczos技术可加快MOM矩阵方程的计算速度。 |
| 关键词: 矩量法 Lanczos技术 雷达散射截面 介质柱 |
| DOI： |
| 投稿日期：2001-08-29 |
| 基金项目:国家杰出青年基金资助项目（69625102） |
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| Fast Calculation of the Fredholm Equation of the Second Kind Based on Lanczos Technique |
| TONG Chuangming1, YUAN Naichang2, HONG Wei1 |
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(1.State Key Lab. of Millimeter Waves, Southeast University, Nanjing 210096 ，China;2.College of Electronic Science and Engineering,National Univ.of Defense Technology， Changsha 410073,China)
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| Abstract: |
| The basic principle of fast calculation of the Fredholm equation of the second kind based on Lanczos technique is introduced. The method of moments in conjunction with Lanczos technique is applied to predict the mono-static radar cross section (RCS) of an arbitrarily shaped two-dimensional dielectric cylinder. The electric field integral equation (EFIE) in the dielectric cylinder is established firstly, and then EFIE using the method of moments is changed into the matrix equation, and the electric field in the dielectric cylinder is obtained by solving the matrix equation using Lanczos technique. It is observed that the Lanczos technique can result in considerable CPU time saving. |
| Keywords: MOM Lanczos technique RCS dielectric cylinder |
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