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

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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

Research Groups and Themes

Digital Health
SPHERE

Keywords

FDTD methods
electromagnetic propagation in dispersive media
dispersive media

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10.1109/TAP.2016.2550056

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Institute of Electrical and Electronics Engineers (IEEE at http://dx.doi.org/10.1109/TAP.2016.2550056. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 1.66 MB

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

Professor Ian J Craddock
- Ian.Craddockbristol.acuk
Person: Academic , Member, Professional and Administrative

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}",

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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.

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M3 - Article (Academic Journal)

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JO - IEEE Transactions on Antennas and Propagation

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IS - 6

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

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