Title :
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
fDate :
5/1/2010 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2010.2044324