多维障碍物散射问题的修正瑞利猜想方法
Modified Rayleigh Conjecture method for multidimensional obstacle scattering problems
摘要：
关于障碍物外散射场表示的瑞利猜想$D$有着广泛的应用。然而，这个猜想是错误的一些障碍。AGR引入了修正的瑞利猜想（MRC），本文中，我们提出了成功的数值算法的基础上的MRC的各种二维和三维障碍物散射问题。三维障碍物包括立方体和椭球体。MRC方法对于简单和复杂的几何形状都很容易实现。它被证明是一个可行的替代其他障碍物散射方法。
英文摘要：
The Rayleigh conjecture on the representation of the scattered field in the exterior of an obstacle $D$ is widely used in applications. However this conjecture is false for some obstacles. AGR introduced the Modified Rayleigh Conjecture (MRC), and in this paper we present successful numerical algorithms based on the MRC for various 2D and 3D obstacle scattering problems. The 3D obstacles include a cube and an ellipsoid. The MRC method is easy to implement for both simple and complex geometries. It is shown to be a viable alternative for other obstacle scattering methods.
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