Abstract
This letter presents a modified hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) algorithm with weakly conditionally stability for periodic structures at the oblique incident, and the complex frequency-shifted perfectly matched layer is derived to truncate the computational space. This method is suitable for the refined structures in either direction ( x - or y -direction), which covers the shortage of the previous HIE-FDTD method for periodic structures. By splitting only one field component and applying the 1-D scheme, the proposed method can be implemented self-consistently, which does not need to introduce additional equations, and the Courant–Friedrichs–Lewy condition is only limited by the bigger one of grid cell sizes. The accuracy and efficiency of this method are verified by numerical results.
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