Modified Rayleigh Conjecture Method for Multidimensional Obstacle Scattering Problems
نویسندگان
چکیده
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.
منابع مشابه
Numerical Method for Solving Obstacle Scattering Problems by an Algorithm Based on the Modified Rayleigh Conjecture
A numerical algorithm for solving obstacle scattering problems is presented. This algorithm is based on the Modified Rayleigh Conjecture (MRC) method introduced by A. G. Ramm. Its numerical implementation shows that the method is efficient, can handle nonsmooth 3D obstacles and obstacles with complicated shapes. Numerical examples are given.
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