This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the time convolution, direct sampling methods are proposed to reconstruct the location of the scatterer. The proposed methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments are provided to show the effectiveness and robustness of the methods.

翻译：本文研究点状散射体、多个点状散射体或常规尺寸散射体的时域声学逆散射问题的数值模拟。基于格林函数与时间卷积的应用，提出了用于重建散射体位置的直接采样方法。所提出的方法仅涉及积分运算，无需求解任何方程，且易于实现。数值实验验证了该方法的有效性与鲁棒性。