On the Numerical Stability of Finite-Difference Time-Domain for Wave Propagation in Dispersive Media Using Quadratic Complex Rational Function
- Authors
- Cho, Jeahoon; Ha, Sang-Gyu; Park, Yong Bae; Kim, Hyeongdong; Jung, Kyung-Young
- Issue Date
- Nov-2014
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- finite-difference time-domain methods; numerical stability; dispersive media
- Citation
- ELECTROMAGNETICS, v.34, no.8, pp.625 - 632
- Indexed
- SCIE
SCOPUS
- Journal Title
- ELECTROMAGNETICS
- Volume
- 34
- Number
- 8
- Start Page
- 625
- End Page
- 632
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/158761
- DOI
- 10.1080/02726343.2014.948775
- ISSN
- 0272-6343
- Abstract
- Recently, based on a quadratic complex rational function, a simple and accurate finite-difference time-domain algorithm was introduced for the study of electromagnetic wave propagation in dispersive media. It is of great necessity to investigate the numerical stability of the quadratic complex rational function-finite-difference time-domain to fully utilize this finite-difference time-domain algorithm. In this work, using the von Neumann method with the Routh-Hurwitz criterion, the numerical stability conditions of the quadratic complex rational function-finite-difference time-domain are investigated. It is shown that the numerical stability conditions of the quadratic complex rational function-finite-difference time-domain are not same as those of the conventional finite-difference time-domain schemes.
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