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通过分析时域有限差分 (FDTD)法的特点和高频电磁脉冲在 Yee氏网格中的传播规律 ,导出了适于地质雷达正演的理想频散关系。该频散关系即考虑了 FDTD法的收敛性和稳定性 ,也考虑了高频电磁波在 Yee氏网格中的传播特点。数值试验表明 ,这一关系能有效压制数值频散现象 ,真实反映地质雷达波在地下介质中的传播规律。将之用于实际计算 ,取得满意效果
By analyzing the characteristics of the finite difference time domain (FDTD) method and the propagation rule of high frequency electromagnetic pulse in Yee ’s grid, the ideal dispersion relation suitable for the forward modeling of the GPR is derived. The dispersion relation considers the convergence and stability of the FDTD method and also considers the propagation characteristics of high-frequency electromagnetic waves in the Yee’s grid. Numerical experiments show that this relationship can effectively suppress the phenomenon of numerical dispersion and truly reflect the propagation of the GPR wave in underground media. It will be used for actual calculation, to obtain satisfactory results