Analysis of the Discretization Error at Material Interfaces in Staggered Grids

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 approximat...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2010-05, Vol.58 (5), p.1653-1661
Main Authors: Laudani, Roberto, Calvagna, Andrea, Sorbello, Gino, Janner, Davide, Tramontana, Emiliano
Format: Article
Language:English
Subjects:
Antennas
Applied classical electromagnetism
Approximation
Discontinuity
Discretization
Duality
Electric variables measurement
Electromagnetic fields
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Exact solutions
Finite difference methods
finite-difference time-domain (FDTD)
Fundamental areas of phenomenology (including applications)
Informatics
Integral equations
Magnetic field measurement
Magnetic materials
Mathematical analysis
Maxwell equations
Perfectly matched layers
Physics
Reflection
Time domain analysis
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Summary: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.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2010.2044324