volume | PIER Journals

Abstract

The one-step leapfrog hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method for lossy media is presented. By adopting the Crank-Nicolson and Peaceman-Rachford schemes, the derived method involves calculations of the lossy terms at two different time steps. Different from the original HIEFDTD method, the proposed method can also be considered as a second order perturbation of the conventional FDTD method. To verify the effectiveness of the proposed method, numerical experiments are performed by using different FDTD methods. It is shown that the proposed method can be more efficient than the conventional HIE-FDTD method with almost the same accuracy.

1. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time-domain Method, 3rd Edition, Artech House, Norwood, MA, 2005.

2. Zheng, F., Z. Chen, and J. Zhang, "Toward the development of a three dimensional unconditionally stable finite-different time-domain method," IEEE Trans. Microwave Theory Tech., Vol. 48, No. 9, 1550-1558, 2000.
doi:10.1109/22.868993

3. Cooke, S. J., M. Botton, T. M. Antonsen, and B. Levush, "A leapfrog formulation of the 3D ADI-FDTD algorithm," Int. J. Numer. Model, Vol. 22, No. 2, 187-200, 2009.
doi:10.1002/jnm.707

4. Gan, T. H. and E. L. Tan, "Unconditionally stable leapfrog ADI-FDTD method for lossy media," Progress In Electromagnetics Research M, Vol. 26, 173-186, 2012.
doi:10.2528/PIERM12090307

5. Gao, J. Y. and H. X. Zheng, "One-step leapfrog ADI-FDTD method for lossy media and its stability analysis," Progress In Electromagnetics Research Letters, Vol. 40, 49-60, 2013.
doi:10.2528/PIERL12110213

6. Wang, X. H., W. Y. Yin, and Z. Chen, "One-step Leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media," Optics Express, Vol. 21, No. 18, 20565–-20576, 2013.
doi:10.1364/OE.21.020565

7. Chen, J. and J. Wang, "A 3-D hybrid implicit-explicit FDTD schemewith weakly conditional stability," Microw. Opt. Technol. Lett., Vol. 48, 2291-2294, 2006.
doi:10.1002/mop.21898

8. Chen, J. and J. Wang, "A novel WCS-FDTD method with weakly conditionalstability," IEEE Trans. Electromagn. Compat., Vol. 49, No. 2, 419-426, 2007.
doi:10.1109/TEMC.2007.897130

9. Wang, J., B. Zhou, L. Shi, C. Gao, and B. Chen, "A novel 3-D HIE-FDTD method with one-step leapfrog scheme," IEEE Trans. Microw. Theory Tech., Vol. 62, No. 6, 1275-1283, 2014.
doi:10.1109/TMTT.2014.2320692

10. Unno, M. and H. Asai, "HIE-FDTD method for hybrid system with lumped elements and conductive media," IEEE Microw. Wireless Compon. Lett., Vol. 21, No. 9, 453-455, 2011.
doi:10.1109/LMWC.2011.2162616

Dr. Jian-Yun Gao

Prof. Xiang-Hua Wang

Prof. Hong-Xing Zheng