title: Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a quadratic complex rational function.
abstract: Efficient unconditionally stable FDTD method is developed for the electromagnetic analysis of dispersive media. Toward this purpose, a quadratic complex rational function (QCRF) dispersion model is applied to the alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method. The 3-D update equations of QCRF-ADI-FDTD are derived using Maxwell's curl equations and the constitutive relation. The periodic boundary condition of QCRF-ADI-FDTD is discussed in detail. A 3-D numerical example shows that the time-step size can be increased by the proposed QCRF-ADI-FDTD beyond the Courant-Friedrich-Levy (CFL) number, without numerical instability. It is observed that, for refined computational cells, the computational time of QCRF-ADI-FDTD is reduced to 28.08 % of QCRF-FDTD, while the L2relative error norm of a field distribution is 6.92 %.
authors.forename: E-K
authors.initials: EK
authors.lastname: Kim
authors.forename: S-G
authors.initials: SG
authors.lastname: Ha
authors.forename: J
authors.initials: J
authors.lastname: Lee
authors.forename: Y B
authors.initials: YB
authors.lastname: Park
authors.forename: K-Y
authors.initials: KY
authors.lastname: Jung