用基于Daubechies尺度函数的时域多分辨分析计算电磁散射

利用Daubechies尺度函数的紧支撑性，将一种新的时域多分辨分析(MRTD)算法应用到三维目标的电磁散射中并分析了其色散特性，使用MRTD/FDTD接口技术解决了连接和吸收边界的处理.算例表明，在不牺牲精度的情况下，该方法比传统的FDTD需要的网格数少，计算速度快.最后，计算了二维PBG结构的反射特性. 关键词： 时域多分辨分析 Daubechies尺度函数 电磁散射

Using the MRTD based on Daubechies scaling functions to solve the problem of electromagnetic scattering

A new method of multiresolution time domain analysis is proposed, which is based on compactly supported Daubechies scaling functions in the electromagnetic scattering of three dimensional objects. The highly linear dispersional properties are investigated. Using the interfaces of MRTD/FDTD technique, the connecting and absorption boundaries are dealt with. Numerical experiments show that, compared with conventional FDTD, this method can reduce cells without sacrificing solution accuracy, and uses less CPU time. Finally, the characteristics of PBG structure are obtained using this scheme.