一种新的计算周期表面电磁散射算法

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

A New Iterative Method for Electromagnetic Scattering From a Period Surface

In this paper, a new iterative method is presented. By using this method, the electromagnetic scattering from a period surface is computed. The results of the computation with the method of moments (MOM) are more accurate than those of the physical optics approximation, however, the equations with a great number of unknown coefficients have to be solved. Some iterative methods have been developed for overcoming the memory restriction of the computer. The new iterative method presented here has an advantage that it does not need to determine any parameter which is necessary in similar iterative methods. By using the new iterative method, the computation of electromagnetic scattering from a period surface is performed in this paper. The computed results are compared with the results obtained by using Gauss matrix inverse method. It can be seen that the two results have a good agreement. The results also prove that the method presented here is practical.