A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm

David Gibbins; Christopher Railton; Ian Craddock; Tommy N T Henriksson

doi:10.1109/TAP.2016.2550056

A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm

David Gibbins, Christopher Railton, Ian Craddock, Tommy N T Henriksson

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

338 Downloads (Pure)

Abstract

A new formulation of the Auxiliary Difference Equation (ADE) Finite Difference Time Domain (FDTD) algorithm for the simulation of dispersive materials has been presented in the literature. Although flexible and efficient, this algorithm suffers from instability when modelling lossy high contrast dielectrics. In this paper we adapt this ADE-FDTD formulation and present alternative algorithms for modelling static conductivity and Debye dispersion. The stability of these algorithms is assessed by numerical simulation in a wide variety of dielectric
media and their performance is compared to the existing algorithm by means of a simulation of the reflection of a plane wave from a dielectric boundary. Results and comparison with theory demonstrate the stability and accuracy of the new methods. The flexibility, computational efficiency and ability to model a wide range of materials make these new methods highly attractive compared to other dispersive FDTD algorithms, particularly for modelling materials with multiple dispersion models.

Original language	English
Pages (from-to)	2401-2409
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	64
Issue number	6
Early online date	4 Apr 2016
DOIs	https://doi.org/10.1109/TAP.2016.2550056
Publication status	Published - Jun 2016

Structured keywords

Digital Health

Keywords

FDTD methods
electromagnetic propagation in dispersive media
dispersive media

Access to Document

10.1109/TAP.2016.2550056

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Accepted author manuscript, 1.66 MB

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SPHERE (EPSRC IRC)
Craddock, I. J., Coyle, D. T., Flach, P. A., Kaleshi, D., Mirmehdi, M., Piechocki, R. J., Stark, B. H., Ascione, R., Ashburn, A. M., Burnett, M. E., Damen, D., Gooberman-Hill, R. J. S., Harwin, W. S., Hilton, G., Holderbaum, W., Holley, A. P., Manchester, V. A., Meller, B. J., Stack, E. & Gilchrist, I. D.
1/10/13 → 30/09/18
Project: Research, Parent

Professor Ian J Craddock
- Ian.Craddock@bristol.ac.uk
- Senior Team - University Lead on Digital Health
- Department of Electrical & Electronic Engineering - Professor
- Elizabeth Blackwell Institute for Health Research
- Cabot Institute for the Environment
- Communication Systems and Networks
Person: Academic , Member

Cite this

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title = "A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm",

abstract = "A new formulation of the Auxiliary Difference Equation (ADE) Finite Difference Time Domain (FDTD) algorithm for the simulation of dispersive materials has been presented in the literature. Although flexible and efficient, this algorithm suffers from instability when modelling lossy high contrast dielectrics. In this paper we adapt this ADE-FDTD formulation and present alternative algorithms for modelling static conductivity and Debye dispersion. The stability of these algorithms is assessed by numerical simulation in a wide variety of dielectricmedia and their performance is compared to the existing algorithm by means of a simulation of the reflection of a plane wave from a dielectric boundary. Results and comparison with theory demonstrate the stability and accuracy of the new methods. The flexibility, computational efficiency and ability to model a wide range of materials make these new methods highly attractive compared to other dispersive FDTD algorithms, particularly for modelling materials with multiple dispersion models.",

keywords = "FDTD methods, electromagnetic propagation in dispersive media, dispersive media",

author = "David Gibbins and Christopher Railton and Ian Craddock and Henriksson, {Tommy N T}",

year = "2016",

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doi = "10.1109/TAP.2016.2550056",

language = "English",

volume = "64",

pages = "2401--2409",

journal = "IEEE Transactions on Antennas and Propagation",

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publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

number = "6",

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A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm. / Gibbins, David; Railton, Christopher; Craddock, Ian; Henriksson, Tommy N T.

In: IEEE Transactions on Antennas and Propagation, Vol. 64, No. 6, 06.2016, p. 2401-2409.

Research output: Contribution to journal › Article (Academic Journal) › peer-review

TY - JOUR

T1 - A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm

AU - Gibbins, David

AU - Railton, Christopher

AU - Craddock, Ian

AU - Henriksson, Tommy N T

PY - 2016/6

Y1 - 2016/6

N2 - A new formulation of the Auxiliary Difference Equation (ADE) Finite Difference Time Domain (FDTD) algorithm for the simulation of dispersive materials has been presented in the literature. Although flexible and efficient, this algorithm suffers from instability when modelling lossy high contrast dielectrics. In this paper we adapt this ADE-FDTD formulation and present alternative algorithms for modelling static conductivity and Debye dispersion. The stability of these algorithms is assessed by numerical simulation in a wide variety of dielectricmedia and their performance is compared to the existing algorithm by means of a simulation of the reflection of a plane wave from a dielectric boundary. Results and comparison with theory demonstrate the stability and accuracy of the new methods. The flexibility, computational efficiency and ability to model a wide range of materials make these new methods highly attractive compared to other dispersive FDTD algorithms, particularly for modelling materials with multiple dispersion models.

AB - A new formulation of the Auxiliary Difference Equation (ADE) Finite Difference Time Domain (FDTD) algorithm for the simulation of dispersive materials has been presented in the literature. Although flexible and efficient, this algorithm suffers from instability when modelling lossy high contrast dielectrics. In this paper we adapt this ADE-FDTD formulation and present alternative algorithms for modelling static conductivity and Debye dispersion. The stability of these algorithms is assessed by numerical simulation in a wide variety of dielectricmedia and their performance is compared to the existing algorithm by means of a simulation of the reflection of a plane wave from a dielectric boundary. Results and comparison with theory demonstrate the stability and accuracy of the new methods. The flexibility, computational efficiency and ability to model a wide range of materials make these new methods highly attractive compared to other dispersive FDTD algorithms, particularly for modelling materials with multiple dispersion models.

KW - FDTD methods

KW - electromagnetic propagation in dispersive media

KW - dispersive media

U2 - 10.1109/TAP.2016.2550056

DO - 10.1109/TAP.2016.2550056

M3 - Article (Academic Journal)

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

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ER -

A Numerical Study of Debye and Conductive Dispersion in High Dielectric Materials Using a General ADE-FDTD Algorithm

Abstract

Structured keywords

Keywords

Access to Document

SPHERE (EPSRC IRC)

Professor Ian J Craddock

Cite this