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应用科学学报 ›› 2010, Vol. 28 ›› Issue (5): 527-532.doi: 10.3969/j.issn.0255-8297.2010.05.013

• 电子技术 • 上一篇    下一篇

双正交时域多分辨方法及其电磁散射应用

高强业1;2， 周建江1， 曹群生1   

  1. 1. 南京航空航天大学信息科学与技术学院，南京210016
    2. 解放军汽车管理学院装备技术系，安徽蚌埠233011
  • 收稿日期:2010-03-11 修回日期:2010-07-14 出版日期:2010-09-26 发布日期:2010-09-26
  • 作者简介:高强业，讲师，博士生，研究方向：计算电磁学和宽带雷达目标特性，E-mail：gaoqiangye@gmail.com；周建江，教授，博导，研究方向：雷达信号处理和雷达目标特性分析，E-mail: zjjee@nuaa.edu.cn；曹群生，教授，博导，研究方向：电磁理论与应用、计算电磁学，E-mail: qunsheng@nuaa.edu.dn
  • 基金资助:

    国家自然科学基金(No.60771018)资助

Biorthorgonal Multiresolution Time-Domain Method and Application to Electromagnetic Scattering

GAO Qiang-ye1;2, ZHOU Jian-jiang1, CAO Qun-sheng1   

  1. 1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,
    Nanjing 210016, China
    2. Department of Equipment Technology, People’s Liberation Army Automobile Management Institute,
    Bengbu 233011, Anhui Province, China
  • Received:2010-03-11 Revised:2010-07-14 Online:2010-09-26 Published:2010-09-26

PDF

1497

被引次数

1

摘要：

研究了一种双正交时域多分辨方法，用于分析三维目标的电磁散射特性，计算目标的雷达散射截面.以具有紧支撑和严格内插特性的双正交Cohen-Daubechies-Feauveau(CDF)小波为场量展开的空间基函数，用小波Galerkin采样方法进一步导出该算法的严格三维计算公式，并分析其色散特性. 采用各向异性完全匹配层截断计算空间，应用总场/散射场技术引入入射波. 理论分析和实验结果表明，与时域有限差分法和基于非紧支撑的Battle-Lemarie (B-L)小波的MRTD方法相比，该方法在保持计算精度的前提下能大幅度节省计算资源.

关键词: 双正交时域多分辨方法, CDF小波, 电磁散射, 色散特性

Abstract:

 We study a biorthogonal multiresolution time-domain (bi-MRTD) method and use it to analyze electromagnetic scattering properties and compute radar cross sections (RCS) of three-dimensional objects. Compactly supported biorthogonal Cohen-Daubechies-Feauveau(CDF) wavelets with rigorous interpolation property are employed as spatial basis functions to expand the field components. A rigorous three-dimensional calculation formula is derived by applying the wavelet-Galerkin sampling method. Dispersion properties of the bi-MRTD methods are studied. Anisotropic perfectly-matched layer (APML) is chosen to truncate the computational space. The incident wave is introduced by using the total-field/scattered-field (TF/SF) technique. Theoretical analyses and experimental results show that the bi-MRTD method can save considerable computational resources without loss of accuracy in comparison with FDTD and the MRTD method based on non-compactly supported Battle-Lemarie (B-L) wavelets.

Key words: biorthogonal multiresolution time-domain (bi-MRTD), CDF wavelet, electromagnetic scattering, dispersion property

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