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

Author

Klemm, Michael ; Lanteri, Stephane ; Scheid, Claire

Author_Institution

Electromagn. Group, Univ. of Bristol, Bristol, UK

fYear

2013

fDate

6-10 Oct. 2013

Firstpage

239

Lastpage

242

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.

Keywords

Galerkin method; Maxwell equations; bio-optics; biological effects of microwaves; differential equations; dispersive media; microwave propagation; numerical analysis; physiological models; ADE approach; DGTD method; Debye model; FDTD method; auxiliary differential equation; bioelectromagnetics application; centered flux discontinuous Galerkin formulation; discontinuous Galerkin time domain method; dispersive propagation media; finite difference time domain method; microwave propagation; numerical treatment; second order leap-frog scheme; space discretization; time domain Maxwell equation; time integration; Dispersion; Mathematical model; Maxwell equations; Media; Method of moments; Numerical models; Time-domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference (EuMC), 2013 European

Conference_Location

Nuremberg

Type

conf

Filename

6686635