Improved shift operator FDTD method for high order dispersive media

2010 ◽  
Vol 22 (8) ◽  
pp. 1925-1929
Author(s):  
张玉强 Zhang Yuqiang ◽  
葛德彪 Ge Debiao
Keyword(s):  
Shift Operator ◽  
Fdtd Method ◽  
High Order ◽  
Dispersive Media

A Polynomial Chaos Method for Dispersive Electromagnetics

2015 ◽  
Vol 18 (5) ◽  
pp. 1234-1263 ◽  
Author(s):  
Nathan L. Gibson
Keyword(s):  
Polynomial Chaos ◽  
Fdtd Method ◽  
Debye Model ◽  
Dispersive Media ◽  
Dielectric Parameters ◽  
Polarization Model ◽  
Computational Framework ◽  
Spatial Dimensions ◽  
Yee Scheme ◽  
Polynomial Chaos Expansions

AbstractElectromagnetic wave propagation in complex dispersive media is governed by the time dependent Maxwell's equations coupled to equations that describe the evolution of the induced macroscopic polarization. We consider “polydispersive” materials represented by distributions of dielectric parameters in a polarization model. The work focuses on a novel computational framework for such problems involving Polynomial Chaos Expansions as a method to improve the modeling accuracy of the Debye model and allow for easy simulation using the Finite Difference Time Domain (FDTD) method. Stability and dispersion analyzes are performed for the approach utilizing the second order Yee scheme in two spatial dimensions.

Beam steering of eye shape metamaterial design on dispersive media by FDTD method

2018 ◽  
Vol 31 (5) ◽  
pp. e2319 ◽  
Author(s):  
Md. Mehedi Hasan ◽  
Mohammad Rashed Iqbal Faruque ◽  
Mohammad Tariqul Islam
Keyword(s):  
Beam Steering ◽  
Fdtd Method ◽  
Dispersive Media

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.

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