Provably Stable Local Application of Crank-Nicolson Time Integration to the FDTD Method with Nonuniform Gridding and Subgridding
Keywords:
Crank-Nicolson, FDTDAbstract
This contribution removes some doubts about the stability issues associated with the local and anisotropic use of Crank-Nicolson (CN) time integration in Finite-Difference Time- Domain (FDTD) simulations with spatial irregularities such as nonuniformity and subgridding.
Downloads
References
Z. Huang, G. G. Pan, and K. S. Chen, “A synchronized multigrid time domain method via Huygens subgridding and implicit algorithms,” IEEE Transactions on Antennas and Propagation, vol. 61, no. 5, pp. 2605– 2614, May 2013.
M. R. Cabello, L. D. Angulo, J. Alvarez, I. D. Flintoft, S. Bourke, J. F. Dawson, R. G. Martn, and S. G. Garcia, “A hybrid Crank-Nicolson FDTD subgridding boundary condition for lossy thin-layer modeling,” IEEE Transactions on Microwave Theory and Techniques, vol. 65, no. 5, pp. 1397–1406, May 2017.
A. Van Londersele, D. De Zutter, and D. Vande Ginste, “An in-depth stability analysis of nonuniform FDTD combined with novel local implicitization techniques,” Journal of Computational Physics, vol. 342, no. Supplement C, pp. 177–193, 2017.
——, “A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems,” IEEE Transactions on Antennas and Propagation, vol. 64, no. 8, pp. 3509–3520, Aug. 2016.
——, “A collocated 3-D HIE-FDTD scheme with PML,” IEEE Microwave and Wireless Components Letters, vol. 27, no. 7, pp. 609–611, July 2017.
——, “Full-wave analysis of the shielding effectiveness of thin graphene sheets with the 3D unidirectionally collocated HIE-FDTD method,” International Journal of Antennas and Propagation, vol. 2017, pp. Article ID 5 860 854, 8 pages, J
