使用Jury准则对时域有限差分算法进行稳定性分析

Stability analysis is very important for the application of finite-difference time-domain (FDTD) methods. However, to find out all roots of a characteristic polynomial in stability analysis of the FDTD methods is a very difficult task, especially for high-order accurate FDTD methods. In this paper, the Jury test in automatic control theory is introduced in detail, which only uses those coefficients of the characteristic polynomial for stability analysis instead of directly solving it. Such treatment can simplify the procedure of stability analysis. As demonstrated in this paper, the Jury test is successfully applied in stability analysis of two typical FDTD methods.