时域有限差分方法在天线和微波技术中的应用(上)

The Finite-Difference Time-Domain Method Application in Antennas and Microwave Technology

介绍了目前正在迅速发展和应用范围非常广泛的一种电磁理论的数值计算方法——时域有限差分法（ＦＤＴＤＭ）的基本理论：Ｙｅｅ的算法（它是将问题的解域离散化成直角立方体网格，并将直角坐标系中的Ｍａｘｗｅｌ旋度方程用有限差分方程来代替，然后在相应的边界和初始条件下解有限差分方程的一种新型的数值计算方法）以及在Ｙｅｅ算法基础上的很多扩展的理论方法。给出了它们在电磁理论方面的广泛应用。最后提出了ＦＤＴＤ方法对计算机资源的要求和改善计算技术问题。

In this paper, the basic principle of a numerical computation method for electromagnetic theory——Finite-Difference Time-Domain Method, which has been developing rapid and applied widely, Yee’s algorithm is presented. The space and time domain to be solve problem is discretized into regular hexahedron cells, and the Maxwell’s cure equations are placed by finite difference equations. Then, the difference equations are solved in corresponding initial and boundary conditions. The several kind of extended FDTD theory method are presented. And many applications for electromagnetic theory are given. Finally, the requirements for computer’s source and the improvements of computing techniques are involved.