On the Source Implementation for the Leapfrog ADI-FDTD Method

Different source implementations for the leapfrog ADI-FDTD method including both current and hard sources are investigated in this letter. It is shown that, different from the conventional ADI-FDTD method, the leapfrog one always possesses asymmetry errors, while the hard source results in larger asymmetry errors than the current source. An optimal current source derived from the conventional ADI-FDTD method is then presented. In addition, it is found that the hard source is less accurate than the current source as the CFL number increases.

[1]  Jiazong Zhang,et al.  Development of three-dimensional unconditionally stable finite-difference time-domain methods , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[2]  Wen-Yan Yin,et al.  An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties , 2012, IEEE Transactions on Antennas and Propagation.

[3]  B. Donderici,et al.  Symmetric source implementation for the ADI-FDTD method , 2005, IEEE Transactions on Antennas and Propagation.

[4]  Hagness,et al.  Accurate implementation of current sources in the ADI-FDTD scheme , 2004, IEEE Antennas and Wireless Propagation Letters.

[5]  Eng Leong Tan,et al.  Analysis of the Divergence Properties for the Three-Dimensional Leapfrog ADI-FDTD Method , 2012, IEEE Transactions on Antennas and Propagation.

[6]  Shumin Wang,et al.  On the current source implementation for the ADI-FDTD method , 2004 .

[7]  B. Levush,et al.  A Leapfrog Formulation of the 3D ADI-FDTD Algorithm , 2007, 2007 Workshop on Computational Electromagnetics in Time-Domain.

[8]  Eng Leong Tan Concise Current Source Implementation for Efficient 3-D ADI-FDTD Method , 2007, IEEE Microwave and Wireless Components Letters.

[9]  Eng Leong Tan,et al.  Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods , 2008, IEEE Transactions on Antennas and Propagation.