Full-wave parallel dispersive finite-difference time-domain modeling of three-dimensional electromagnetic cloaking structures

Authors:
Yan Zhao;Yang Hao
Affiliations:
School of Electronic Engineering and Computer Science, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom;School of Electronic Engineering and Computer Science, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
Venue:
Journal of Computational Physics
Year:
2009

Citing 2
Cited 1

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Introduction to numerical analysis: 2nd edition
A perfectly matched layer for the absorption of electromagnetic waves

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Numerical simulations of cloaking problems using a DPG method

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Abstract

A parallel dispersive finite-difference time-domain (FDTD) method for the modeling of three-dimensional (3-D) electromagnetic cloaking structures is presented in this paper. The permittivity and permeability of the cloak are mapped to the Drude dispersion model and taken into account in FDTD simulations using an auxiliary differential equation (ADE) method. It is shown that the correction of numerical material parameters and the slow switching-on of source are necessary to ensure stable and convergent single-frequency simulations. Numerical results from wideband simulations demonstrate that waves passing through a three-dimensional cloak experience considerable delay comparing with the free space propagations, as well as pulse broadening and blue-shift effects.