Efficient Leapfrog SF FDTD Method for Periodic Structures at Oblique Incidence
Keywords:
Finite-difference time-domain (FDTD) algorithm, modified split-field (SF) method, one-step leapfrog scheme, periodic structureAbstract
This paper presents an efficient explicit leapfrog implementation of the split-field (SF) finitedifference time-domain (FDTD) method for solving problems of the oblique incident plane wave on periodic structures. Firstly, by splitting only one field component, the additional time derivative terms of transformed Maxwell’s equations can be eliminated. Then, by applying Peaceman–Rachford scheme, one-step leapfrog scheme and Sherman-Morrison formula, the proposed SF method is implemented in a much simpler explicit scheme than traditional SF FDTD method and some unconditionally stable methods. Furthermore, the stability condition of the proposed method is weaker than traditional SF FDTD method. The accuracy and efficiency of this method are verified by numerical results
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