Newmark-FDTD Formulation for Modified Lorentz Dispersive Medium and Its Equivalence to Auxiliary Differential Equation-FDTD with Bilinear Transformation

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 rationa...

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Bibliographic Details
Published in:International journal of antennas and propagation 2019, Vol.2019 (2019), p.1-7
Main Authors: Jung, Kyung-Young, Park, Yong Bae, Cho, Jeahoon, Choi, Hongjin
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Antennas
Critical point
Dielectric properties
Differential equations
Finite difference time domain method
Fourier transforms
Mathematical models
Methods
Numerical stability
Permittivity
Propagation
Rational functions
Time domain analysis
Transformations (mathematics)
Wave dispersion
Wave propagation
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Summary: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.
ISSN:1687-5869
1687-5877
DOI:10.1155/2019/4173017