Fundamental ADI-FDTD method for multiple-pole Debye dispersive media

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.

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Unconditionally Stable Fundamental Alternating Direction Implicit FDTD Method for Dispersive Media

Computational Electromagnetics—Retrospective and Outlook ◽

10.1007/978-981-287-095-7_4 ◽

2014 ◽

pp. 85-115 ◽

Cited By ~ 1

Author(s):

Ding Yu Heh ◽

Eng Leong Tan

Keyword(s):

Fdtd Method ◽

Dispersive Media ◽

Unconditionally Stable ◽

Alternating Direction Implicit ◽

Alternating Direction

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

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.2319 ◽

2018 ◽

Vol 31 (5) ◽

pp. e2319 ◽

Cited By ~ 6

Author(s):

Md. Mehedi Hasan ◽

Mohammad Rashed Iqbal Faruque ◽

Mohammad Tariqul Islam

Keyword(s):

Beam Steering ◽

Fdtd Method ◽

Dispersive Media

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Improved shift operator FDTD method for high order dispersive media

High Power Laser and Particle Beams ◽

10.3788/hplpb20102208.1925 ◽

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

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

International Journal of Antennas and Propagation ◽

10.1155/2019/4173017 ◽

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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