利用数值方法研究周期表面的电磁散射问题。应用矩量法研究周期表面的电磁散射可以获得较为精确的数值结果。对于表面散射 ,应用矩量法时表面未知变量的数目非常大 ,即使对于一维表面也需要几千个未知变量 ;当求解矩阵方程时 ,计算机对求解的问题有内存和速度的限制。为了克服内存的限制 ,采用了一种新的迭代数值算法。对周期表面的电磁散射问题进行了研究 ,并与矩阵反演方法作了比较。所得结果表明 ,这种新的迭代法具有很好的收敛性。最后对散射结果进行了讨论 Using Numerical Methods to Study the Scattering Problems of Periodic Surfaces. Applying the method of moment to study the electromagnetic scattering of periodic surface can obtain more accurate numerical results. For surface scattering, the number of surface-unknown variables used in the moment method is very large, requiring thousands of unknown variables even for one-dimensional surfaces; the memory and speed limitations of the computer on solving problems are solved when solving matrix equations. In order to overcome the memory limitation, a new iterative numerical algorithm is adopted. The electromagnetic scattering problem on the periodic surface was studied and compared with the matrix inversion method. The results show that this new iteration method has good convergence. Finally, the scattering results are discussed