多小波分析二维电磁散射

Multiwavelet analysis of 2D EM scattering

文中介绍了多小波概念，利用Ａｌｐｅｒｔ给出的二阶多小波函数结合低阶Ｌｅｇｅｎｄｒｅ多项式作基函数，求解二维导体的电磁散射．结果表明多小波基能够有效地克服边界效应，具有自适应特征．在分辨率取λ／８时，导出阻抗矩阵稀疏率为４０％左右，导体表面感应电流数值解精度损失很小．

The scattering of 2D conducting objects is presented by using Alpers multiwavelet functions of second order in conjunction with lower order Legendre polynomials as basis functions. Research results show that there is no solution accuracy sacrifice while the sparse ratio of the resulting impedance matrix is as high as 40%. We let the resolution as high as possible. Numerical examples confirm the self fit property and the simplicity of multiwavelet bases which are effective overcoming boundary effects.