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Designing of stop band filters using hybrid periodic/quasi‐periodic one‐dimensional photonic crystals in microwave domain
Author(s) -
Ali Naim Ben,
Kanzari Mounir
Publication year - 2011
Publication title -
physica status solidi (a)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.532
H-Index - 104
eISSN - 1862-6319
pISSN - 1862-6300
DOI - 10.1002/pssa.200925531
Subject(s) - fibonacci number , photonic crystal , photonics , quasi periodic , transfer matrix method (optics) , microwave , physics , stopband , periodic function , materials science , optics , mathematics , quantum mechanics , band pass filter , combinatorics , astrophysics
Abstract Using the transfer matrix method approach (TMM), the present paper attempts to determine the transmission properties of generalized quasi‐periodic (GQP) photonic systems. In addition, it studies hybrid periodic photonic/generalized quasi‐periodic photonic (PP/GQP) multilayer structures constructed as alternation of high‐low contrast (Roger and Air) of refractive indices. The quasi‐periodic photonic crystals (PCs) used in these hybrid hetero‐structures are the generalized Fibonacci sequence GF ( m , n ) and the generalized Thue–Morse sequence GTM ( m , n ) ( m and n are integers). The results are presented in microwave domain for normal incident wave. By varying the parameters m and n of the quasi‐periodic structures, the corresponding transmission spectrum exhibits interesting properties.