2017-10-02
Implementation of the Parallel Higher-Order FDTD with Convolution PML
By
Progress In Electromagnetics Research Letters, Vol. 70, 129-138, 2017
Abstract
In this paper, a parallel Higher-order FDTD (HO-FDTD) algorithm is described. Moreover, a novel implementation of convolution PML (CPML) is presented for the HO-FDTD method. A printed microstrip patch antenna is designed to analyze the feasibility of the parallel algorithm and the absorbing performance of the CPML. Moreover, the proposed algorithm is used to deal with the large-scale computational model of the vaulted tunnel. The simulation results show that the adopted parallel strategy is feasible. and the CPML performs well in the HO-FDTD scheme.
Citation
Yawen Liu, Pin Zhang, and Yi-Wang Chen, "Implementation of the Parallel Higher-Order FDTD with Convolution PML," Progress In Electromagnetics Research Letters, Vol. 70, 129-138, 2017.
doi:10.2528/PIERL17082203
References

1. Young, J. L., "A higher order FDTD method for EM propagation in a collisionless cold plasma," IEEE Trans. Antennas Propagat., Vol. 44, No. 9, 1283-1289, Sep. 1996.
doi:10.1109/8.535387        Google Scholar

2. Hadi, M. F. and M. Piket-May, "A modified FDTD(2, 4) scheme or modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propagat., Vol. 45, No. 2, 254-264, Feb. 1997.
doi:10.1109/8.560344        Google Scholar

3. Teixeira, F. L. and W. C. Chew, "Lattice electromagnetic theory from a topological viewpoint," J. Math. Phys., Vol. 40, No. 1, 169-187, 1999.
doi:10.1063/1.532767        Google Scholar

4. Lan, K., Y. Liu, and W. Lin, "A higher order(2, 4) scheme for reducing dispersion in FDTD algorithm," IEEE Trans. Electromagnetic Compatibility, Vol. 41, No. 2, 160-165, May 1999.
doi:10.1109/15.765109        Google Scholar

5. Zhang, J. and Z. Chen, "Low-dispersive super high-order FDTD schemes," IEEE Antenna Propagat. Soc. Int. Symp., Vol. 3, 1510-1513, Salt Lake City, UT, Jul. 2000.        Google Scholar

6. Hirono, T., W. Lui, S. Seki, and Y. Yoshikuni, "A three-dimensional fourth-order finite-difference time domain scheme using a symplectic integrator propagator," IEEE Trans. Microw. Theory Tech., Vol. 49, No. 9, 1640-1648, Sep. 2001.
doi:10.1109/22.942578        Google Scholar

7. Prokopidis, K. P. and T. D. Tsiboukis, "Higher-order FDTD(2, 4) scheme for accurate simulations in lossy dielectrics," Electron. Lett., Vol. 39, No. 11, 835-836, May 2003.
doi:10.1049/el:20030545        Google Scholar

8. Shao, Z. H. and Z. X. Shen, "A generalized higher order finite-difference time-domain method and its application in guided-wave problems," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 3, 856-861, Mar. 2003.
doi:10.1109/TMTT.2003.808627        Google Scholar

9. Chun, S. T. and J. Y. Choe, "A higher order FDTD method in integral formulation," IEEE Trans. Antennas Propagat., Vol. 53, No. 7, 2237-2246, Jul. 2005.
doi:10.1109/TAP.2005.850708        Google Scholar

10. Wang, S., Z. Shao, and G. Wen, "A modified high order FDTD method based on wave equation," IEEE Microwave and Wireless Components Letters, Vol. 17, No. 5, 316-318, May 2007.
doi:10.1109/LMWC.2007.895685        Google Scholar

11. Chen, Y. W., Y. W. Liu, B. Chen, and P. Zhang, "A cylindrical higher order FDTD algorithm with PML and quasi PML," IEEE Trans. Antenna Propagat., Vol. 61, No. 9, 4695-4704, Sept. 2013.
doi:10.1109/TAP.2013.2267720        Google Scholar

12. Liu, Y. W., Y. W. Chen, P. Zhang, and Z. X. Liu, "A spherical higher-order FDTD algorithm with PML," Chinese Physics B, Vol. 23, No. 12, 2014.        Google Scholar

13. Taflove, A., Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, 1995.

14. Guiffaut, C. and K. Mahdjoubi, "A parallel FDTD algorithm using the MPI library," IEEE Antennas and Propagation Magazine, Vol. 43, 94-103, Apr. 2001.
doi:10.1109/74.924608        Google Scholar

15. Roden, J. A. and S. D. Gedney, "Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media," Microwave Opt. Technol. Lett., Vol. 27, No. 5, 334-339, Dec. 2000.
doi:10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A        Google Scholar

16. Roberts, A. R. and J. Joubert, "PML absorbing boundary condition for higher-order FDTD schemes," Electron. Lett., Vol. 33, No. 1, 32-34, 1997.
doi:10.1049/el:19970062        Google Scholar

17. Fujii, M., M. M. Tentzeris, and P. Russer, "Performance of nonlinear dispersive APML in high-order FDTD schemes," IEEE MTT-S International Microwave Symposium Digest, 1129-1132, Jun. 2003.        Google Scholar

18. Yu, W. H. and R. Mittra, "A conformal finite difference time domain technique for modeling curved dielectric surfaces," IEEE Microwave and Wireless Components Letters, Vol. 11, No. 1, 25-27, Jan. 2001.
doi:10.1109/7260.905957        Google Scholar