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Journal ArticleDOI

An FDTD formulation for dispersive media using a current density

TLDR
In this paper, a novel finite-difference time-domain (FDTD) formulation for dispersive media called the JE convolution (JEC) method is derived using the convolution relationship between the current density J and the electric field E. The high accuracy of the JEC method is confirmed by computing the reflection and transmission coefficients for a nonmagnetized plasma slab in one dimension.
Abstract
A novel finite-difference time-domain (FDTD) formulation for dispersive media called the JE convolution (JEC) method is derived using the convolution relationship between the current density J and the electric field E. The high accuracy of the JEC method is confirmed by computing the reflection and transmission coefficients for a nonmagnetized plasma slab in one dimension. It is found that the new method has an accuracy comparable to the auxiliary differential equation (ADE) while having the same computational efficiency as the less accurate recursive convolution (RC) method. Numerical simulations also show that the JEC method exhibits significantly higher accuracy than the RC method in modeling wave attenuation inside the plasma.

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Citations
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Journal ArticleDOI

A parallel FDTD algorithm using the MPI library

TL;DR: This paper describes the essential elements of a parallel algorithm for the FDTD method using the MPI (message passing interface) library, and uses a new method that makes it unnecessary to split the field components.
Journal ArticleDOI

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

TL;DR: Extensions of finite-difference time domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media in this article.
Journal ArticleDOI

FDTD modeling of wave propagation in dispersive media by using the Mobius transformation technique

TL;DR: In this article, a finite-difference time-domain modeling of wave propagation in general Mth-order dispersive media is introduced, where Ohm's law in the Laplace domain with an Mthorder rational model for the complex conductivity is considered as a constitutive relation.
Journal ArticleDOI

Time-domain finite-element modeling of dispersive media

TL;DR: In this article, a general formulation for time-domain finite-element modeling of electromagnetic fields in a general dispersive medium is described, based on the second-order vector wave equation and incorporating the dispersion effect of a medium via a recursively evaluated convolution integral.
Journal ArticleDOI

An E-J Collocated 3-D FDTD Model of Electromagnetic Wave Propagation in Magnetized Cold Plasma

TL;DR: In this paper, a three-dimensional finite-difference time-domain (FDTD) numerical model is proposed to simulate electromagnetic wave propagation in an anisotropic magnetized cold plasma medium.
References
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Journal ArticleDOI

Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Book

Computational Electrodynamics: The Finite-Difference Time-Domain Method

Allen Taflove
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Book

Principles of Plasma Discharges and Materials Processing

TL;DR: In this paper, the authors introduce the concept of particle and energy balance in discharges and introduce the theory of collision dynamics and wave-heated discharges, as well as chemical reactions and equilibrium.
Book

Waves and Fields in Inhomogeneous Media

Weng Cho Chew
TL;DR: Inverse scattering problems in planar and spherically layered media have been studied in this article, where Dyadic Green's functions have been applied to the mode matching method to solve the problem.
Journal ArticleDOI

Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations

TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.
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