Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media

VA Bokil, NL Gibson - IMA Journal of Numerical Analysis, 2012 - academic.oup.com
We study the stability properties of, and the phase error present in, several higher-order (in
space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or …

A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model

JB Angel, JW Banks, WD Henshaw… - Journal of …, 2019 - Elsevier
A high-order accurate scheme for solving the time-domain Maxwell's equations with a
generalized dispersive material model is described. The equations for the electric field are …

Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media

HT Banks, VA Bokil, NL Gibson - Numerical Methods for Partial …, 2009 - Wiley Online Library
We study the stability properties of, and the phase error present in, a finite element scheme
for Maxwell's equations coupled with a Debye or Lorentz polarization model. In one …

Fractional‐Calculus‐Based Electromagnetic Tool to Study Pulse Propagation in Arbitrary Dispersive Dielectrics

L Mescia, P Bia, D Caratelli - physica status solidi (a), 2019 - Wiley Online Library
Fractional calculus is a fruitful field of research in science and engineering. The concept of
fractional exponents is an outgrowth of exponents with integer value. In the same way …

High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media in one dimension

VA Bokil, Y Cheng, Y Jiang, F Li… - Journal of Scientific …, 2018 - Springer
In this paper, we consider electromagnetic (EM) wave propagation in nonlinear optical
media in one spatial dimension. We model the EM wave propagation by the time-dependent …

An FDTD model of graphene intraband conductivity

B Salski - IEEE transactions on microwave theory and …, 2014 - ieeexplore.ieee.org
A novel finite-difference time-domain (FDTD) model of magnetized graphene gyrotropic
conductivity is proposed in this paper. The model, derived with the aid of auxiliary differential …

High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions

MJ Jenkinson, JW Banks - Journal of Computational and Applied …, 2018 - Elsevier
We propose a novel finite-difference time-domain (FDTD) scheme for the solution of
Maxwell's equations in which linear dispersive effects are present. The method uses high …

Liquid crystal-based dielectric loaded surface plasmon polariton optical switches

AC Tasolamprou, DC Zografopoulos… - Journal of Applied …, 2011 - pubs.aip.org
An optical switch based on liquid crystal dielectric loaded surface plasmon polariton
waveguides is proposed and theoretically analyzed. The infiltration of the plasmonic …

Surface boundary condition (SBC)-based FDTD formulations for lossy dispersive media

YJ Kim, KY Jung - Computers & Mathematics with Applications, 2024 - Elsevier
The finite-difference time-domain (FDTD) method is a widely used numerical technique for
simulating electromagnetic wave interactions with complex media. Various efficient …

An extended FDTD method for the analysis of electromagnetic field rotators and cloaking devices

JA Silva-Macêdo, MA Romero, BHV Borges - Progress In Electromagnetics …, 2008 - jpier.org
This paper presents a dispersive finite difference time domain (FDTD) method suitable for
the analysis of electromagnetic field rotator (and cloaking) devices. The method employs a …