Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformation
- Title
- Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformation
- Author
- 정경영
- Keywords
- TIME-DOMAIN; WAVE-PROPAGATION; STABILITY; IMPLEMENTATION; HOUBOLT; MODEL
- Issue Date
- 2019-06
- Publisher
- HINDAWI LTD
- Citation
- INTERNATIONAL JOURNAL OF ANTENNAS AND PROPAGATION, v. 2019, article no. 4173017
- 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.
- URI
- https://www.hindawi.com/journals/ijap/2019/4173017/https://repository.hanyang.ac.kr/handle/20.500.11754/151919
- ISSN
- 1687-5869; 1687-5877
- DOI
- 10.1155/2019/4173017
- Appears in Collections:
- COLLEGE OF ENGINEERING[S](공과대학) > ELECTRONIC ENGINEERING(융합전자공학부) > Articles
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