Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a quadratic complex rational function

Title
Three-dimensional efficient dispersive alternating-direction-implicit finite-difference time-domain algorithm using a quadratic complex rational function
Authors
정경영
Keywords
SOLAR-CELLS; PERFECTLY MATCHED LAYER; ADI-FDTD METHOD; WAVE-GUIDES; METAMATERIALS; CFS; BAND
Issue Date
2015-01
Publisher
OPTICAL SOC AMER
Citation
OPTICS EXPRESS, v. 23, NO 2, Page. 873-881
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 %. #C) 2015 Optical Society of America
URI
http://hdl.handle.net/20.500.11754/21269https://www.osapublishing.org/oe/fulltext.cfm?uri=oe-23-2-873&id=307748
ISSN
1094-4087
DOI
http://dx.doi.org/10.1364/OE.23.000873
Appears in Collections:
COLLEGE OF ENGINEERING[S](공과대학) > ELECTRONIC ENGINEERING(융합전자공학부) > Articles
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