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.
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.
出处
《应用科学学报》
CSCD
北大核心
2010年第5期527-532,共6页
Journal of Applied Sciences
基金
国家自然科学基金(No.60771018)资助
关键词
双正交时域多分辨方法
CDF小波
电磁散射
色散特性
biorthogonal multiresolution time-domain（bi-MRTD）
CDF wavelet
electromagnetic scattering
dispersion property
