A Novel Unconditionally 2-D ID-WLP-FDTD Method With Low Numerical Dispersion

A novel unconditionally stable finite-difference time-domain (FDTD) electromagnetic simulation method based on the weighted Laguerre polynomials (WLPs) and isotropic dispersion (ID) finite difference scheme is proposed, which introduces WLPs in the time domain and ID finite difference scheme in the space domain. Based on the analysis of monochrome waves, its numerical dispersion relation is obtained. In order to verify the superiority of this method, an example of plane wave propagation in a 2-D dielectric-loaded cavity is given. Compared with the conventional WLP-FDTD method, this method not only keeps good simulation accuracy but also requires less computing time and memory.