Parallel Dispersive FDTD Method Based on the Quadratic Complex Rational Function

2016 ◽  
Vol 15 ◽  
pp. 425-428 ◽  
Author(s):  
Sung-Min Park ◽  
Eun-Ki Kim ◽  
Yong Bae Park ◽  
Saehoon Ju ◽  
Kyung-Young Jung
Keyword(s):  
Rational Function ◽  
Fdtd Method ◽  
Quadratic Complex

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

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Hongjin Choi ◽  
Jeahoon Cho ◽  
Yong Bae Park ◽  
Kyung-Young Jung
Keyword(s):  
Differential Equation ◽  
Numerical Stability ◽  
Dispersive Medium ◽  
Fdtd Method ◽  
Dispersive Media ◽  
Complex Conjugate ◽  
Dispersion Models ◽  
Bilinear Transformation ◽  
Quadratic Complex ◽  
Difference Time

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.

FDTD Dispersive Modeling of Human Tissues Based on Quadratic Complex Rational Function

2013 ◽  
Vol 61 (2) ◽  
pp. 996-999 ◽  
Author(s):  
Sang-Gyu Ha ◽  
Jeahoon Cho ◽  
Jaehoon Choi ◽  
Hyeongdong Kim ◽  
Kyung-Young Jung
Keyword(s):  
Rational Function ◽  
Human Tissues ◽  
Quadratic Complex

scholarly journals An Extended Newmark-FDTD Method for Complex Dispersive Media

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Yu-Qiang Zhang ◽  
Peng-Ju Yang
Keyword(s):  
Rational Function ◽  
Time Domain ◽  
Fdtd Method ◽  
Polarization Vector ◽  
Dispersive Media ◽  
Complex Conjugate ◽  
Time Stepping ◽  
Two Sides ◽  
Difference Time ◽  
Complex Dispersion

Based on polarizability in the form of a complex quadratic rational function, a novel finite-difference time-domain (FDTD) approach combined with the Newmark algorithm is presented for dealing with a complex dispersive medium. In this paper, the time-stepping equation of the polarization vector is derived by applying simultaneously the Newmark algorithm to the two sides of a second-order time-domain differential equation obtained from the relation between the polarization vector and electric field intensity in the frequency domain by the inverse Fourier transform. Then, its accuracy and stability are discussed from the two aspects of theoretical analysis and numerical computation. It is observed that this method possesses the advantages of high accuracy, high stability, and a wide application scope and can thus be applied to the treatment of many complex dispersion models, including the complex conjugate pole residue model, critical point model, modified Lorentz model, and complex quadratic rational function.

A Simulation Study of Lightning Surge Characteristics of a Distribution Line Using the FDTD Method

2009 ◽  
Vol 129 (10) ◽  
pp. 1225-1232 ◽  
Author(s):  
Susumu Matsuura ◽  
Akiyoshi Tatematsu ◽  
Taku Noda ◽  
Shigeru Yokoyama
Keyword(s):  
Simulation Study ◽  
Fdtd Method ◽  
Distribution Line
Sign in / Sign up

Export Citation Format

Share Document