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Scattering Analysis of Periodic Structures Using Finite-Difference Time-Domain Method
Khaled ElMahgoub, Fan Yang, and Atef Elsherbeni
www.morganclaypool.com
ISBN: 9781608458134 paperback
ISBN: 9781608458141 ebook
DOI 10.2200/S00415ED1V01Y201204CEM028
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGNETICS
Lecture #28
Series Editor: Constantine A. Balanis, Arizona State University
Series ISSN
Synthesis Lectures on Computational Electromagnetics
Print 1932-1252 Electronic 1932-1716
Scattering Analysis
of Periodic Structures
Using Finite-Difference
Time-Domain Method
Khaled ElMahgoub, Fan Yang, and Atef Elsherbeni
University of Mississippi
SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGNETICS #28
C
M
&
cLaypoolMorgan publishers
&
ABSTRACT
Periodic structures are of great importance in electromagnetics due to their wide range of applications
such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic ab-
sorbers, meta-materials, and many others. The aim of this book i s to develop efficient computational
algorithms to analyze the scattering properties of various electromagnetic periodic structures us-
ing the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new
FDTD/PBC-based algorithm is introduced to anal yz e general skewed grid periodic structures while
another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed
algorithms are successfully integrated with the generalized scattering matrix (GSM) technique,
identified as the hybr id FDTD-GSM algorithm, to efficiently analyze multilayer periodic struc-
tures. All the de veloped algorithms are easy to implement and are efficient in both computational
time and memory usage. These algorithms are validated through several numerical test c ases. The
computational methods presented in this book will help scientists and engineers to investigate and
design novel periodic structures and to explore other research frontiers in electromagnetics.
KEYWORDS
finite difference time domain (FDTD), periodic structures, periodic boundary condi-
tions (PBC), generalized scattering matrix (GSM), frequency selective surfaces (FSS),
multi-layer structures, auxiliary differential equation (ADE), dispersive material, gen-
eral skewed grid
ix
Khaled ElMahgoub: To my family and friends
Fan Yang: To my family and colleagues
Atef Elsherbeni: To my family

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