FDTD算法中的时空匹配问题及其解决方法研究

 分析指出了目前FDTD算法中的数值收敛条件破坏了其中的实际物理关系，导致了时空不匹配问题的存在，从而造成计算过程中计算量的激增和计算效率的低下，限制了FDTD算法在飞机的RCS目标特性分析过程中的实际应用。提出了对于FDTD算法进行改进的新方法，同时保证了算法中的内在物理关系和计算的收敛性，提高了计算效率和实用性。应用改进后的FDTD算法进行了简谐波在一维多层介质中的传播仿真和全反射理想基底多层介质的传播仿真，所得计算结果与理论分析结果完全吻合。同时根据仿真结果得到了电磁波在多层介质传播中的几个规律。

Problem of Space and Time Matching in FDTD Algorithm and Research on Solving It

A problem in FDTD algorithm is brought forward,which is that the condition of convergence of iterations destroys the actual physical relation internal.Thus it induces the problem of space and time matching,and results in lower computational efficiency.A new FDTD algorithm is proposed in order to satisfy the physical relation internal and the convergence of iterations.With the algorithm,the computational efficiency and practicability of FDTD are enhanced.The simulations of propagation in one dimension multi-mediums are presented.The results of examples show that the new algorithm has satisfactory precisions.Finally,several rules are got from the simulations.