T矩阵方法的解析解实现

摘要

In this paper, the limitation of T-Matrix structure is analyzed. It is found that a solution by T-Matrix method can be transformed to a canonical solution when the boundary of the scatterer tends to the cylindrical form and the scatterer is illuminated by E-plane wave. The transition from T-Matrix method to canonical solution is established. It is concluded that T-Matrix is diagonal with the scatter boundary in this limit situation. This is also the limit of numerical solution.%T-MATRIX的结构分析及数值解的过渡特征与解析解的一致性研究有助于判别数值结果的可靠性.该文系统地分析了T-MATRIX的极限问题;讨论了二维散射体在理想边界情况下,E波入射时从T-MATRIX法到经典解析解的极限过渡.结果表明,在理想边界下,数值结果与经典理论完全吻合.