A particular solution method was used to compute a class of time harmonic medium scattering problems .Based on a simple partition of the domain ,fundamental solutions were selected to approximate the property of the scattered field at local points and infinity .There was no need to cut unbounded domain into a bounded domain .The algorithm was suitable for the general scatterers and multiple scatterers ,which could achieve high precision in rough grids and achieve fast convergence . Numerical examples show the feasibility and effectiveness of the algorithm .%采用特殊解方法,计算求解一类时谐介质散射问题.算法在区域简单剖分的基础上,利用基本解函数近似散射场的局部性态和无穷远处性态,无需将无界域截断为有界域,适用于一般散射体及多个散射体情形,在粗糙网格下便可达到较高精度,并实现快速收敛.数值算例表明了算法的可行性和有效性.
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