将基于Daubechies尺度函数的时域多分辨(Multiresolution time—domain,MRTD)方法应用于三维目标的电磁散射和雷达目标特性分析中,并对其Courant稳定性条件和色散特性进行了分析。在入射波引入方面,提出应用总场/散射场技术,在连接边界周围定义一些“修正区域”,并推导出一系列“修正区域”内的迭代公式,把入射场作为“连接边界条件”引入到计算区域。理论分析和实验结果表明,基于Daubechies尺度函数的MRTD方法和入射波引入方法是有效的,且与传统的FDTD方法相比,MRTD方法在保持计算精度的前提下能够节省计算资源。
A new multiresolution time-domain (MRTD) scheme based on Daubechies' compactly supported scaling function is used to analyze electromagnetic scattering and radar target properties of threedimensional targets. And its Courant stability condition and the dispersion property are studied. To introduce the incident wave, the total-field/scattered-field (TF/SF) technique is applied. Some "correction regions" around the connecting boundary are defined. Moreover, a series of the iterative formula in "correction regions" is derived to introduce the incident fields into computational regions as "connecting boundary condition". Theoretical analyses and experimental results show that the MRTD method based on Daubechies' scaling function and the proposed method of introducing incident wave are effective. Compared with the traditional FDTD method, the MRTD method can save considerable computational resources without loss of computational accuracy.