Analysis of the Discretization Error at Material Interfaces in Staggered Grids

Author

Laudani, Roberto ; Calvagna, Andrea ; Sorbello, Gino ; Janner, Davide ; Tramontana, Emiliano

Author_Institution

Dept. of Inf. & Telecommun. Eng., Univ. of Catania, Catania, Italy

Volume

58

Issue

5

fYear

2010

fDate

5/1/2010 12:00:00 AM

Firstpage

1653

Lastpage

1661

Abstract

We address the problem of modeling discontinuities at material interfaces and we propose an intuitive model to discuss the origin of spurious discrete reflections. We restrict ourselves to the 1-D analysis and we consider perfectly matched layers as a case study. The approach, based on an approximation, leads to a closed form expression to quantitatively evaluate the performance of perfectly matched layers. Furthermore, the algorithms are presented in details for reproducibility.

Keywords

electromagnetic field theory; error analysis; finite difference time-domain analysis; 1D analysis; closed form expression; discretization error; finite difference time-domain analysis; intuitive model; material interfaces; modeling discontinuities; perfectly matched layers; reproducibility; spurious discrete reflections; staggered grids; Electric variables measurement; Electromagnetic fields; Finite difference methods; Informatics; Integral equations; Magnetic field measurement; Magnetic materials; Maxwell equations; Perfectly matched layers; Time domain analysis; Duality; finite-difference time-domain (FDTD); perfectly matched layers;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2010.2044324

Filename

5422622