Implementation of Associated Hermite FDTD Method to Periodic Structures

In this letter, we developed the unconditionally stable (US) associated Hermite (AH) finite-difference time-domain method for transient analysis of periodic structures at oblique incidence. With AH-domain differentiate operator and paralleling-in-order solution scheme, periodic Maxwell's equations with complex frequency shifted perfectly matched layer are transformed to AH-domain five-point banded equation, which also unified the formula from total-field/scattered-field connection boundary and periodic boundary conditions. The numerical results verified the accuracy and efficiency of the proposed method when compared to the split-field method and US locally one-dimensional method.