Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformationopen access
- Authors
- Choi, Hongjin; Cho, Jeahoon; Park, Yong Bae; Jung, Kyung Young
- Issue Date
- Jun-2019
- Publisher
- HINDAWI LTD
- Citation
- INTERNATIONAL JOURNAL OF ANTENNAS AND PROPAGATION, v.2019
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF ANTENNAS AND PROPAGATION
- Volume
- 2019
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/2620
- DOI
- 10.1155/2019/4173017
- ISSN
- 1687-5869
- Abstract
- The finite-difference time-domain (FDTD) method has been popularly utilized to analyze the electromagnetic (EM) wave propagation in dispersive media. Various dispersion models were introduced to consider the frequency-dependent permittivity, including Debye, Drude, Lorentz, quadratic complex rational function, complex-conjugate pole-residue, and critical point models. The Newmark-FDTD method was recently proposed for the EM analysis of dispersive media and it was shown that the proposed Newmark-FDTD method can give higher stability and better accuracy compared to the conventional auxiliary differential equation-(ADE-) FDTD method. In this work, we extend the Newmark-FDTD method to modified Lorentz medium, which can simply unify aforementioned dispersion models. Moreover, it is found that the ADE-FDTD formulation based on the bilinear transformation is exactly the same as the Newmark-FDTD formulation which can have higher stability and better accuracy compared to the conventional ADE-FDTD. Numerical stability, numerical permittivity, and numerical examples are employed to validate our work.
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