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Journal ArticleDOI

An Anisotropic PML Absorbing Media for the FDTD Simulation of Fields in Lossy and Dispersive Media

Stephen D. Gedney
- 01 Jul 1996 - 
- Vol. 16, Iss: 4, pp 399-415
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TLDR
In this article, a uniaxial anisotropic perfectly matched layer (PML) absorbing material is presented for the truncation of finite-difference time-domain (FDTD) lattices for the simulation of electromagnetic fields in lossy and dispersive material media.
Abstract
A uniaxial anisotropic perfectly matched layer (PML) absorbing material is presented for the truncation of finite-difference time-domain (FDTD) lattices for the simulation of electromagnetic fields in lossy and dispersive material media. It is shown that by properly choosing the constitutive parameters of the uniaxial media both propagating and evanescent waves can be highly attenuated within the PML medium. This resolves the concern that the original Berenger's formulation for a PML medium does not attenuate evanescent waves. FDTD formulations for the uniaxial PML method are presented for lossy and dispersive medium. Based on this formulation an equivalent modified representation of Berenger's split equations is also derived. Through numerical examples, it is demonstrated that the uniaxial PML method provides a nearly reflectionless absorbing boundary for the FDTD simulation of evanescent and propagating waves encountered in highly dispersive and lossy medium.

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Citations
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Journal ArticleDOI

An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices

TL;DR: In this paper, a perfectly matched layer (PML) absorbing medium composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time domain (FDTD) lattices.
Book

Electromagnetic Band Gap Structures in Antenna Engineering

TL;DR: In this paper, the FDTD method for periodic structure analysis is used for periodic structures analysis of EBG surfaces and low profile wire antennas are used for EBG surface wave antennas.
Journal ArticleDOI

Absorbing PML boundary layers for wave-like equations

TL;DR: In this paper, the authors consider absorbing layers that are extensions of the PML of Berenger (1994), which are constructed both for time problems and for Helmholtz-like equations.
Book

Introduction to the Finite-Difference Time-Domain (Fdtd) Method for Electromagnetics

TL;DR: This book guides the reader through the foundational theory of the FDTD method starting with the one-dimensional transmission-line problem and then progressing to the solution of Maxwell's equations in three dimensions.
Journal ArticleDOI

Perfectly Matched Layer (PML) for Computational Electromagnetics

TL;DR: The perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate free space when solving the Maxwell equations with such finite methods as the finite-time methods is presented.
References
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Journal ArticleDOI

A perfectly matched layer for the absorption of electromagnetic waves

TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI

A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates

TL;DR: A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates that allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies.
Journal ArticleDOI

An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices

TL;DR: In this paper, a perfectly matched layer (PML) absorbing medium composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time domain (FDTD) lattices.
Journal ArticleDOI

A perfectly matched anisotropic absorber for use as an absorbing boundary condition

TL;DR: In this paper, an alternative formulation of the "perfectly matched layer" mesh truncation scheme is introduced, based on using a layer of diagonally anisotropic material to absorb outgoing waves from the computation domain.
Journal ArticleDOI

Direct time integration of Maxwell's equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses

TL;DR: The present approach is robust and permits two-dimensional and three-dimensional electromagnetic pulse propagation directly from the full-vector Maxwell's equations.
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