TY - GEN

T1 - A leapfrog formulation of the 3D ADI-FDTD algorithm

AU - Cooke, S. J.

AU - Botton, M.

AU - Antonsen, T. M.

AU - Levush, B.

PY - 2007

Y1 - 2007

N2 - We introduce a new, alternative form of the 3D alternating direction implicit finite-difference time-domain (ADI-FDTD) algorithm that has a number of attractive properties for electromagnetic simulation. We obtain a leapfrog form of the time advance equations, where the E- and H- fields are staggered at half-integer and integer time steps respectively, that preserves the unconditional stability of the ADI-FDTD method. The resulting equations resemble the explicit leapfrog FDTD method, but the field update equations are modified to include the solution of sets of tridiagonal equations at each step, similar to the original ADI-FDTD scheme, so that the scheme is not constrained by the Courant-Friedrichs-Lewy (CFL) limit. The algorithm is simpler than the ADI-FDTD method but algebraically equivalent, allowing a reduction in computation to achieve the same numerical solution. We discuss the advantages of the formulation over the original FDTD and ADI-FDTD methods, and confirm our results numerically.

AB - We introduce a new, alternative form of the 3D alternating direction implicit finite-difference time-domain (ADI-FDTD) algorithm that has a number of attractive properties for electromagnetic simulation. We obtain a leapfrog form of the time advance equations, where the E- and H- fields are staggered at half-integer and integer time steps respectively, that preserves the unconditional stability of the ADI-FDTD method. The resulting equations resemble the explicit leapfrog FDTD method, but the field update equations are modified to include the solution of sets of tridiagonal equations at each step, similar to the original ADI-FDTD scheme, so that the scheme is not constrained by the Courant-Friedrichs-Lewy (CFL) limit. The algorithm is simpler than the ADI-FDTD method but algebraically equivalent, allowing a reduction in computation to achieve the same numerical solution. We discuss the advantages of the formulation over the original FDTD and ADI-FDTD methods, and confirm our results numerically.

KW - Electromagnetic propagation

KW - FDTD methods

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=50249115543&partnerID=8YFLogxK

U2 - 10.1109/CEMTD.2007.4373546

DO - 10.1109/CEMTD.2007.4373546

M3 - Conference contribution

AN - SCOPUS:50249115543

SN - 142441170X

SN - 9781424411702

T3 - 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD

BT - 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD

T2 - 2007 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD

Y2 - 15 October 2007 through 17 October 2007

ER -