Improved Leapfrog LOD-FDTD Method With Controlling Parameters

An improved locally 1-D (LOD) finite-difference time-domain (FDTD) method with a one-step leapfrog scheme has been developed, and its numerical dispersion has been further optimized due to the introduction of controlling parameters. On the premise of unconditional stability, we further simplified the implementation through auxiliary field variables. Moreover, the internal relationship between numerical dispersion and important parameters, such as propagation angle, the Courant–Friedrich–Levy number, and frequency, was analyzed in detail. Numerical examples verified the performance of the proposed method in terms of memory, efficiency, and accuracy.