Tangyuan, China
Tangyuan, China

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Mao Y.-F.,PLA University of Science and Technology | Chen B.,PLA University of Science and Technology | Xiong R.,PLA University of Science and Technology | Geng H.-J.,Yuan Wang III | Tang J.-Z.,Yuan Wang III
IEEE Antennas and Wireless Propagation Letters | Year: 2011

In this letter, the weakly conditional technique is applied to the finite-difference time-domain (FDTD) method, called WCS-FDTD in short. It is combined with periodic boundary condition (PBC), so periodic structures can be solved by using this method conveniently. When the explicit difference calculations are performed in the directions with larger spatial increments, the time-step is thus determined by the larger spatial increments, and the stability condition is less strict than the conventional FDTD method. In order to save the CPU running time, the Sherman-Morrison formula is used to solve the nontridiagonal linear systems. Compared to ADI-FDTD method, this method has better accuracy and computational efficiency. Numerical results are given to demonstrate the effectiveness of the proposed method. © 2006 IEEE.


Mao Y.-F.,PLA University of Science and Technology | Chen B.,PLA University of Science and Technology | Chen Q.,PLA University of Science and Technology | Xu J.-H.,Yuan Wang III
2012 International Conference on Microwave and Millimeter Wave Technology, ICMMT 2012 - Proceedings | Year: 2012

In this paper, the hybrid implicit-explicit finite-difference time-domain method is applied to solve periodic structures in 2D case. Numerical formulations of the periodic HIE-FDTD for a 2D TE wave are presented and the numerical stability condition is studied. The results calculated by this method agree well with those obtained by using the conventional periodic FDTD method. When the unequal space increments are used in different dimensions, high computation efficiency can be obtained. © 2012 IEEE.


Mao Y.-F.,PLA University of Science and Technology | Chen B.,PLA University of Science and Technology | Xia J.-L.,Yuan Wang III | Chen J.,Yuan Wang III | Tang J.-Z.,Yuan Wang III
IEEE Antennas and Wireless Propagation Letters | Year: 2013

In this letter, the one-step leapfrog alternating direction implicit (ADI) finite-difference time-domain (FDTD) method has been introduced to solve periodic structures, resulting in a one-step leapfrog periodic ADI-FDTD method. In comparison to the original ADI-FDTD method, the one-step leapfrog ADI-FDTD method retains almost the same numerical modeling accuracy, but with higher computational efficiency. To simplify the issue, a reformation of the periodic one-step leapfrog ADI-FDTD method is also presented. Numerical results are given to demonstrate the proposed formulation. It is found that the periodic one-step leapfrog ADI-FDTD method requires less memory and CPU time than the conventional periodic ADI-FDTD method. To reduce the numerical dispersion error, an optimization procedure is applied. © 2002-2011 IEEE.


Mao Y.F.,Yuan Wang III | Wu H.B.,Yuan Wang III | Ou L.,Yuan Wang III
Advanced Materials Research | Year: 2014

In this paper, the stability analysis of the unconditionally stable one-step leapfrog alternating direction implicit (ADI) finite-difference time-domain (FDTD) method for periodic structures is presented. The amplification matrix of the proposed leap-frog ADI-FDTD method is obtained through the spatial domain with Fourier method and eigenvalues of the Fourier amplification matrix are obtained analytically to prove the unconditional stability of the periodic leapfrog ADI-FDTD method. Numerical verification is proposed to confirm the theoretical result. © (2014) Trans Tech Publications, Switzerland.

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