收稿日期: 2010-03-11
修回日期: 2010-07-14
网络出版日期: 2010-09-26
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
Received date: 2010-03-11
Revised date: 2010-07-14
Online published: 2010-09-26
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
高强业1;2, 周建江1, 曹群生1 . 双正交时域多分辨方法及其电磁散射应用[J]. 应用科学学报, 2010 , 28(5) : 527 -532 . DOI: 10.3969/j.issn.0255-8297.2010.05.013
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.
/
| 〈 |
|
〉 |