上海交通大学学报

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (12): 1863-1867.

• 数学 • 上一篇    下一篇

二 维 电 大 尺 寸 目 标 IRBC 的 计 算

宋志强，刘鹏   

  1. （复旦大学 信息科学与工程学院，波散射与遥感信息教育部重点实验室，上海200433）
  • 收稿日期:2010-08-17 出版日期:2011-12-31 发布日期:2011-12-31

The IRBC Calculation for 2D Electrically Large Targets

 SONG  Zhi-Qiang, LIU  Peng   

  1. (School of Information Science and Engineering, Key Laboratory of Wave Scattering and Remote Sensing Information, Ministry of Education, Fudan University, Shanghai 200433, China)
  • Received:2010-08-17 Online:2011-12-31 Published:2011-12-31
  • Supported by:

    国家自然科学基金资助项目（61179022），霍英东教育基金会高等院校青年教师基金资助项目（104025）

摘要：  二维电大尺寸目标迭代Robin条件（IRBC）的计算非常耗时，通过对该条件中Hankel函数的近似计算，加快了计算速度.首先，分析了第二类零阶和一阶Hankel函数4种近似算法的优缺点；然后，对比了应用其计算迭代Robin条件的精度和速度；最后，通过一系列电大尺寸目标的计算对最优算法加以验证.

关键词: 迭代Robin边界条件, 有限元法, 电大尺寸, Hankel函数

Abstract: Evaluation of Hankel functions of zeroth and first order arises in the finite element solution of two dimensional electromagnetic scattering problems as the iterative Robin boundary condition (IRBC) is used as the openregion boundary condition. In practice, approximation of these functions is required when the target is electrically large and the computation is very timeconsuming. In this paper, four approximation algorithms are first investigated, including series expansion, small and large argument approximation, and two different kinds of numerical methods. Then the accuracy and speed are compared in the computation of IRBC. The small and large argument approximation, combined with a certain numerical method is shown to be very effective. Some examples of electrically large size are also presented.

Key words: iterative Robin boundary condition (IRBC), finite element method (FEM), electrically large targets, Hankel function

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