Toward the Modeling of Thin Conductive Layer With Hybrid FDTD-PITD Method

Thin conductive layers (TCLs), as typical multiscale problems, pose challenges to any single numerical algorithm. Therefore, a novel hybrid method is proposed to model the embedded TCL, which is a synergistic combination of the finite-difference time-domain (FDTD) method and the precise-integration time-domain (PITD) method. FDTD is adopted for coarse grids outside TCL, while PITD is used for one-dimensional fine grids inside TCL, synchronously advancing the fields of different grids. To achieve information exchange between two solution domains, the tangential electric fields at the interfaces are updated by using effective constitutive parameters. Furthermore, the numerical characteristics of the proposed method are analyzed, and several canonical numerical examples are presented to confirm the effectiveness and accuracy.