摘要

Currently, the stepping direction is time-stepping in the finite-difference time-domain method(FDTD), and the stored data is updated along the time axis. In this paper, a new algorithm of the FDTD method is proposed, in which the stepping direction is space-stepping. The algorithm update the stored data along a certain space axis, but not the time axis. The fundamental principle of the algorithm is illustrated, take one-dimensional case for example. The difference scheme of Maxwell's curl equations, one-way wave equations and the corresponding Mur's scheme, and wave source conditions are also given. The validity of the algorithm is verified by numerical experiments. Additionally, the principle of the algorithm can be generalized to numerical solution of all kinds of differential equations.