中文摘要：

应用小波伽略金方法,对Maxwell方程进行离散化,导出了DB2-MRTD算法的探地雷达3D差分公式、数值稳定性条件.在此基础上,开发了探地雷达MRTD（multi-resolution time domain）法正演模拟程序,该程序极大地提高了运算速度,改善了三维探地雷达正演方法,并利用该自制程序,对三角形金属体模型进行了正演模拟,得到了其相应的正演合成三维剖视图及切片图,通过对这些模拟结果进行分析,可以加深对三维雷达反射特征的认识,提高探地雷达探测的可靠性、准确度,同时也说明时域多分辨率法在探地雷达三维正演模拟中的有效性.

英文摘要：

We apply the wavelet-Galerkin method to dispersing Maxwell equations. We deduce the GPR three-dimensional finite difference formula and the numerical stability of DB2-MRTD algorithm. Based on this, We develop MRTD forward simulation program of GPR which raises the operational speed hugely and improves the 3D GPR forward simulation method. Making use of this new program, we process forward simulation to the 3D triangle metallic body model and get its 3D fence diagram and slice map of forward simulation synthesis. By analyzing these simulation results, we can deepen the understanding toward 3D radar reflection characteristic, raise the credulity, improve the accuracy of the GPR detection, and also illuminate the validity of MRTD 3D forward simulation method in GPR.