Numerical Stability and Accuracy of CCPR-FDTD for Dispersive Medi
- Authors
- Choi, Hongjin; Baek, Jae-Woo; Jung, Kyung-Young
- Issue Date
- Nov-2020
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Dispersive media; finite-difference time-domain (FDTD) methods; numerical analysis; numerical stability
- Citation
- IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, v.68, no.11, pp.7717 - 7720
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
- Volume
- 68
- Number
- 11
- Start Page
- 7717
- End Page
- 7720
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/8831
- DOI
- 10.1109/TAP.2020.2990281
- ISSN
- 0018-926X
- Abstract
- The complex-conjugate pole-residue (CCPR) model has been popularly adopted because CCPR-finite-difference time domain (FDTD) can reduce the memory requirement with the help of complex conjugate property of auxiliary variables. To fully utilize CCPR-FDTD, it is of great necessity to investigate its numerical stability since the FDTD method is conditionally stable. Nonetheless, the numerical stability conditions of CCPR-FDTD have not been studied because its derivation is not straightforward. In this communication, the numerical stability conditions of CCPR-FDTD are systematically derived by combining the von Neumann method with Routh-Hurwitz criterion. It is found that the numerical stability conditions of CCPR-FDTD are the same as those of the modified Lorentz-FDTD with bilinear transform. Moreover, the numerical accuracy of CCPR-FDTD is studied, and numerical examples are employed to validate this work.
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