Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a quadratic complex rational functionopen access
- Authors
- Kim, Eun Kyu; Ha, Sang-Gyu; Lee, Jisu; Park, Yong Bae; Jung, Kyung-Young
- Issue Date
- Jan-2015
- Publisher
- OPTICAL SOC AMER
- Citation
- OPTICS EXPRESS, v.23, no.2, pp.873 - 881
- Indexed
- SCIE
SCOPUS
- Journal Title
- OPTICS EXPRESS
- Volume
- 23
- Number
- 2
- Start Page
- 873
- End Page
- 881
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/158187
- DOI
- 10.1364/OE.23.000873
- ISSN
- 1094-4087
- 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 L-2 relative error norm of a field distribution is 6.92 %.
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