Spectral ADI-HO-FDTD method for periodic structures

Spectral ADI-HO-FDTD method for periodic structures

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In this Letter, the spectral technique that has been applied to the finite-difference-time-domain (FDTD) method is applied to the alternating-direction-implicit higher-order FDTD (ADI-HO-FDTD) method for solving periodic structures, resulting in the periodic spectral (PS) ADI-HO-FDTD. The algorithm for inversion of the block periodic tri-diagonal matrices is presented. The effectiveness and computational efficiency of the proposed method are also shown. Numerical results indicate that the PS-ADI-HO-FDTD algorithm can save computation time by more than 27% in comparison with the conventional HO-FDTD method.


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      • 6. Taflove, A.: ‘Computational electrodynamics: the finite-difference time-domain method’ (Artech House, Norwood, MA, 1995).
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      • 8. Du, Y., Lu, Q., Xu, Z.: ‘New algorithm for inversing block periodic tridiagonal matrices’, Comput. Eng. Applic., 2012, 48, (17), pp. 4143.

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