DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics

Maciej Klemm; Stephane Lanteri Lanteri; Claire Scheid

DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics

Maciej Klemm, Stephane Lanteri Lanteri, Claire Scheid

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

This study is concerned with the solution of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similar to what is adopted in the Finite Difference Time Domain (FDTD) method.

Original language	English
Title of host publication	2013 European Microwave Conference (EuMC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	239 - 242
Publication status	Published - 6 Oct 2013

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1 Finished

Differential Microwave Imaging for Advanced Clinical Applications
Morris, K. A.
1/01/11 → 31/12/15
Project: Research

Cite this

@inproceedings{5ff208d84d30484d95486fa8cc4a31b7,

title = "DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics",

abstract = "This study is concerned with the solution of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similar to what is adopted in the Finite Difference Time Domain (FDTD) method.",

author = "Maciej Klemm and Lanteri, {Stephane Lanteri} and Claire Scheid",

year = "2013",

month = oct,

day = "6",

language = "English",

pages = "239 -- 242",

booktitle = "2013 European Microwave Conference (EuMC)",

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

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DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics. / Klemm, Maciej; Lanteri, Stephane Lanteri; Scheid, Claire.

2013 European Microwave Conference (EuMC). Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 239 - 242.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics

AU - Klemm, Maciej

AU - Lanteri, Stephane Lanteri

AU - Scheid, Claire

PY - 2013/10/6

Y1 - 2013/10/6

N2 - This study is concerned with the solution of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similar to what is adopted in the Finite Difference Time Domain (FDTD) method.

AB - This study is concerned with the solution of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similar to what is adopted in the Finite Difference Time Domain (FDTD) method.

M3 - Conference Contribution (Conference Proceeding)

SP - 239

EP - 242

BT - 2013 European Microwave Conference (EuMC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics

Abstract

Differential Microwave Imaging for Advanced Clinical Applications

Cite this