金属散射问题的积分方程区域分解法

研究了区域分解法在求解金属散射体的积分方程时的应用。积分算法可以精确地求解各种电磁场问题,但因为受限于格林函数,需要求解较为复杂的矩阵。区域分解法是一种迭代算法,把原来较大的求解区域划分成若干个相对独立的子区域,将原问题的求解转化为在各子区域上分别进行求解,并利用某种数据交换条件在子区域之间传递信息,最后得到原电大区域上的解。由于每个子区域相互独立并且单独划分网格,区域分解法更加适合解决多尺度的电磁散射问题。最后通过与商业软件的对比验证了算法的正确性。

An Integral Equation Domain Decomposition Method for Solving Metal Target Scattering Problems

In this paper,the application of an integral equation domain decomposition method is discussed.Integral equation method can solve EM scattering problems precisely.The IE method is subjected to the Green Function,requiring dense and very complicated matrix solution.Domain decomposition method is an interactive method,which divides a big object into some sub-domains and solves each sub-domain to get the final answer.Each sub-domain's scattering wave is treated as a second incident wave to other sub-domains.Each of the sub-domains has its own characteristics and will be meshed independently,as a result of which it is very suitable for solving multi-scale problems.Numerical results compared with commercial software demonstrate the effectiveness of the method.