In this paper, an efficient approximated method based upon the method of auxiliary sources (MAS) is proposed to solve the two-dimensional scattering problem of large, infinite dielectric cylinder. To reduce the size...In this paper, an efficient approximated method based upon the method of auxiliary sources (MAS) is proposed to solve the two-dimensional scattering problem of large, infinite dielectric cylinder. To reduce the size of the total computational cost, the formulation of the MAS is modified by minimizing the number of auxiliary sources considered to implement the solution. It is shown that the standard formulation of the method of auxiliary sources, based on placing a finite number of auxiliary sources in an interior cylinder and the same number in the exterior cylinder surrounding the physical boundary, can be replaced by a finite number of strips placed on the same interior and exterior cylinder. These strips, containing auxiliary sources, are separated by a constant angle. Thus, compared with the standard MAS, the number of auxiliary sources of the new approximated method is reduced; also the proposed method can greatly reduce the computational complexity and the memory requirement. The numerical results obtained in this paper reveal the validity of the proposed approximated method.展开更多
文摘In this paper, an efficient approximated method based upon the method of auxiliary sources (MAS) is proposed to solve the two-dimensional scattering problem of large, infinite dielectric cylinder. To reduce the size of the total computational cost, the formulation of the MAS is modified by minimizing the number of auxiliary sources considered to implement the solution. It is shown that the standard formulation of the method of auxiliary sources, based on placing a finite number of auxiliary sources in an interior cylinder and the same number in the exterior cylinder surrounding the physical boundary, can be replaced by a finite number of strips placed on the same interior and exterior cylinder. These strips, containing auxiliary sources, are separated by a constant angle. Thus, compared with the standard MAS, the number of auxiliary sources of the new approximated method is reduced; also the proposed method can greatly reduce the computational complexity and the memory requirement. The numerical results obtained in this paper reveal the validity of the proposed approximated method.