Efficient Implementation of the UPML in the Generalized Finite-Difference Time-Domain Method

Author

Bernard, Laurent ; Torrado, Ruben Rodriguez ; Pichon, Lionel

Author_Institution

LGEP, Gif-sur-Yvette, France

Volume

46

Issue

8

fYear

2010

Firstpage

3492

Lastpage

3495

Abstract

In this paper, we show how to use hexahedral and prismatic elements for the efficient development of uniaxial anisotropic dispersive media (UPML) around an initial unstructured tetrahedral primal mesh using the generalized finite-difference (GFD) method. The initial mesh is assumed to have plane external boundaries. Taking into account the properties of the UPML medium, we build a special discrete Hodge in order to have a simple scheme for the time-domain solution of Maxwell´s equations. The method is presented for the general 3-D case and numerical results show its efficiency.

Keywords

Maxwell equations; finite difference time-domain analysis; Maxwell equations; discrete Hodge; generalized finite-difference time-domain method; hexahedral elements; prismatic elements; uniaxial anisotropic dispersive media; unstructured tetrahedral primal mesh; Anisotropic magnetoresistance; Dispersion; Finite difference methods; Finite element methods; Helium; Iron; Maxwell equations; Partial differential equations; Perfectly matched layers; Time domain analysis; Finite integration (FIT); Galerkin; generalized finite-difference time domain (FDTD); leapfrog scheme; perfectly matched layer (PML);

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2045357

Filename

5513021