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有限元法作为一种十分有效的数值方法,不仅适用于求解不规则的几何形状和边界条件,而且能计算解决复杂介质问题。首先推导了有限元应用于散射问题的变分公式,然后介绍了电磁散射算法。为验证有限元散射程序的准确性和对任意散射体的适应性,还完成了MIE级数解析求解球体散射问题的算法用于与数值结果对比。通过针对三种不同散射体与现有典型算例的比较,证明了有限元散射算法的有效性。
As a very effective numerical method, the finite element method is not only suitable for solving irregular geometric shapes and boundary conditions, but also solving complex medium problems. Firstly, the variational formula applied to the scattering problem by finite element method is derived, and then the electromagnetic scattering algorithm is introduced. In order to verify the accuracy of the finite element scattering program and its adaptability to arbitrary scatterers, an algorithm to solve the spherical scattering problem by MIE series analysis has also been completed for comparison with numerical results. The effectiveness of the finite element scattering algorithm is proved by comparing the three different scatterers with the existing examples.