基于辅助差分方程的完全匹配层在时域多分辨率分析算法中的应用与性能分析

摘要

将基于辅助微分方程的完全匹配层(ADE-PML)吸收边界条件引入到基于Daubechies尺度函数的时域多分辨率分析算法中.与目前广泛应用的Berenger完全匹配层(PML)和各向异性介质完全匹配层(APML)相比，该吸收边界条件的实现更加容易且更节省内存.数值结果表明， ADE-PML在吸收传播模和低频凋落模方面均优于PML和APML.%A new implementation of perfectly matched layer (PML) with auxiliary differential equation (ADE-PML) is presented for the multiresolution time-domain method. The implementation is easier to obtain and can save more memories than the popularly used PML proposed by Berenger and the anisotropic perfectly matched layer (APML) when a more generalized medium is treated. Numerical results demonstrate that the ADE-PML is more superior to the PML and APML in absorbing propagation modes and low-frequency evanescent modes.