A 3D optimised hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) method aimed at suppressing the numerical dispersion is proposed. Compared with the original HIE-FDTD method, the optimised parameters are introduced without costing any additional computational resource. In addition, the proposed algorithm sacrifices Courant–Friedrichs–Lewy condition and just requires a modest amount of reprogramming. The update equations of the proposed HIE-FDTD method are given and numerical results demonstrate that the proposed method performs better in the numerical dispersion.

References

1. 1)
  - 3. Sha, W., Huang, Z., Chen, M., et al: ‘Survey on symplectic finite-difference time-domain schemes for Maxwell's equations’, Trans. Antennas Propag., 2008, 56, (2), pp. 2841–2846.
2. 2)
  - 6. Wang, J.B., Wang, J.L., Zhou, B.B., et al: ‘An efficient 3-D HIE-FDTD method with more weaker stability condition’, Trans. Antennas Propag., 2016, 64, (3), pp. 998–1004 (doi: 10.1109/TAP.2015.2513100).
3. 3)
  - 21. Chen, J., Wang, J.: ‘A three-dimensional semi-implicit FDTD scheme for calculation of shielding effectiveness of enclosure with thin slots’, IEEE Trans. Electromagn. Compat., 2007, 49, (2), pp. 354–360 (doi: 10.1109/TEMC.2007.893329).
4. 4)
  - 9. Zhang, Y., Lü, S., Zhang, J.: ‘Reduction of numerical dispersion of 3-D higher order alternating-direction-implicit finite-difference time-domain method with artificial anisotropy’, Trans. Microw. Theory Tech., 2009, 57, (10), pp. 2416–2428 (doi: 10.1109/TMTT.2009.2029638).
5. 5)
  - 10. Juntunen, J., Tsiboukis, T.: ‘Reduction of numerical dispersion in FDTD method through artificial anisotropy’, Trans. Microw. Theory Tech., 2000, 48, (4), pp. 582–588 (doi: 10.1109/22.842030).
6. 6)
  - 8. Liu, Q., Yin, W., Chen, Z., et al: ‘Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media’, Trans. Antennas Propag., 2010, 58, (7), pp. 2384–2393 (doi: 10.1109/TAP.2010.2048857).
7. 7)
  - 4. Ren, X.G., Sha, E.I.W., Choy, C.H.W.: ‘Tuning optical responses of metallic dipole nanoantenna using graphene’, Opt. Exp., 2013, 21, (26), pp. 31824–31829 (doi: 10.1364/OE.21.031824).
8. 8)
  - 3. Yee, K.: ‘Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media’, IEEE Trans. Antennas Propag., 1966, 14, (3), pp. 302–307 (doi: 10.1109/TAP.1966.1138693).
9. 9)
  - 14. Li, P., Shi, Y.F., Jiang, L.J., et al: ‘A hybrid time-domain discontinuous Galerkin-boundary integral method for electromagnetic scattering analysis’, IEEE Trans. Antennas Propag., 2014, 62, (5), pp. 2841–2846 (doi: 10.1109/TAP.2014.2307294).
10. 10)
  - 7. Niu, K.K., Huang, Z.X., Li, M.Q., et al: ‘Optimization of the artificially anisotropic parameters in WCS-FDTD method for reducing numerical dispersion’, Trans. Antennas Propag., 2017, 65, (12), pp. 7389–7394 (doi: 10.1109/TAP.2017.2758844).

3D optimised hybrid implicit–explicit FDTD method with suppressed numerical dispersion

References

Related content