The analysis of near and far field pattern through mode analysis and FFT in a finite periodic dielectric gratings

Published date09 March 2015
Date09 March 2015
Pages82-90
DOIhttps://doi.org/10.1108/JSIT-11-2013-0056
AuthorTae-Bong Lee,Min-Nyeon Kim
Subject MatterInformation & knowledge management,Information systems
The analysis of near and far
eld pattern through mode
analysis and FFT in a nite
periodic dielectric gratings
Tae-Bong Lee
Department of Electronics and Communication, Gachon University,
Sungnam, Republic of Korea, and
Min-Nyeon Kim
Division of Information and Communication Engineering,
Baeseok University, Cheonan, Korea
Abstract
Purpose – The purpose of this paper is to analyze far and near eld emitted eld patterns through
more exact calculation of the modes formed in nite periodic dielectric gratings.
Design/methodology/approach For the mode calculation, equations are newly dened by
applying vertical boundary condition on the assumption that transverse electric modes are generated in
the structure. After nding modes, near eld patterns are calculated using the wave number and
coefcient of the mode.
Findings Additionally, the results from these calculations are compared with that of the
rigorous-coupled method. Finally, far eld patterns are derived by applying fast Fourier transform to
near eld patterns and also compared with the results of rigorous-coupled method.
Research limitations/implications For convenience of coordinate, we use rectangular
coordinate, though the shape of radome is a hemisphere.
Practical implications – In this paper, the authors derive more exact near eld patterns without the
assumption of inniteness so that these results can be used practically for a making real
frequency-selective structure.
Originality/value – Conventional periodic nite dielectric gratings analysis has been done using
Floquet–Bloch wave theory, coupled-mode, rigorous-coupled method which is based on the assumption
of inniteness of the structure.
Keywords Far eld pattern, Finite periodic dielectric gratings, Frequency-selective structure,
Near eld pattern
Paper type Research paper
1. Introduction
Periodic dielectric gratings which have many characteristics including
frequency-selective property are evaluated to be useful for various applications (Bertoni
et al., 1989;Parker et al., 2008;Hook and Ward, 2004;Vardaxoglou, 1997;Munk, 2000;
Parker and Hamdy, 1981;Wu et al., 1992;Edenhofer and Alpaslan, 2005). Specically, it
can be applied for surface-emitted antenna and coupler.
Conventional periodic innite dielectric gratings analysis has been done using
Floquet-Bloch’s coupled-mode or rigorous-coupled method which is based on the
The current issue and full text archive of this journal is available on Emerald Insight at:
www.emeraldinsight.com/1328-7265.htm
JSIT
17,1
82
Received 7 November 2013
Revised 17 March 2014
Accepted 19 March 2014
Journalof Systems and
InformationTechnology
Vol.17 No. 1, 2015
pp.82-90
©Emerald Group Publishing Limited
1328-7265
DOI 10.1108/JSIT-11-2013-0056

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