Analysis of exponential time-differencing for FDTD in lossy dielectrics

Author

Petropoulos, Peter G.

Author_Institution

Dept. of Math., Southern Methodist Univ., Dallas, TX, USA

Volume

45

Issue

6

fYear

1997

fDate

6/1/1997 12:00:00 AM

Firstpage

1054

Lastpage

1057

Abstract

We determine the stability condition and analyze the accuracy of the exponential and centered time-differencing schemes for finite-difference time-domain (FDTD) in an isotropic, homogeneous lossy dielectric with electric and magnetic conductivities σ and σ*, respectively. We show that these schemes are equivalent and determine that, for accuracy, both schemes must be used with a time step that finely resolves the electric and magnetic conduction current relaxation time scales. The implications of these results for perfectly matched layer (PML)-type absorbing boundary conditions are discussed

Keywords

dielectric losses; dielectric materials; electromagnetic wave absorption; finite difference time-domain analysis; numerical stability; FDTD; PML-type absorbing boundary conditions; electric conduction current relaxation time scale; exponential time-differencing; finite-difference time-domain; isotropic homogeneous lossy dielectric; magnetic conduction current relaxation time scale; perfectly matched layer-type absorbing boundary conditions; stability condition; time step; Boundary conditions; Conductivity; Dielectric losses; Finite difference methods; Magnetic analysis; Magnetic domains; Magnetic losses; Maxwell equations; Stability analysis; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.585755

Filename

585755