Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod

In this paper photonic band gaps of 1D photonic crystal are compared by using transfer matrix method and Fresnel coefficients method. In Fresnel coefficients method, the refractive indices of each layer and incidence light angle to the surface are used for calculating Fresnel coefficients, and then...

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Main Authors: A Rahmatnezamabad, S Roshanentezar, H Afkhami, B Rahmatnezamabad
Format: Article
Language:English
Published: Isfahan University of Technology 2014-11-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-649&slc_lang=en&sid=1
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author A Rahmatnezamabad
S Roshanentezar
H Afkhami
B Rahmatnezamabad
author_facet A Rahmatnezamabad
S Roshanentezar
H Afkhami
B Rahmatnezamabad
author_sort A Rahmatnezamabad
collection DOAJ
description In this paper photonic band gaps of 1D photonic crystal are compared by using transfer matrix method and Fresnel coefficients method. In Fresnel coefficients method, the refractive indices of each layer and incidence light angle to the surface are used for calculating Fresnel coefficients, and then the necessary and sufficient condition for a 100% reflection from the surface of double layer dielectrics is applied in such a way that reflection coefficient tends to unity so that photonic band gaps are determined. But in transfer matrix method there are some complications needed for solving quadratic partial differential equations and applying continuity of tangent components of fields and Bloch’s condition, though the results are the same
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spelling doaj.art-a5e13eae54e64d91b5c1d8f1302fce9d2022-12-21T22:23:43ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572014-11-01142139146Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghodA Rahmatnezamabad0S Roshanentezar1H Afkhami2B Rahmatnezamabad3 Physics Faculty, Tabriz University, Tabriz, Iran Physics Faculty, Tabriz University, Tabriz, Iran Physics Department, Azarbaijan Shahid Madani University, Tabriz, Iran Physics Department, Mohaghegh Ardabili University, Ardabil, Iran In this paper photonic band gaps of 1D photonic crystal are compared by using transfer matrix method and Fresnel coefficients method. In Fresnel coefficients method, the refractive indices of each layer and incidence light angle to the surface are used for calculating Fresnel coefficients, and then the necessary and sufficient condition for a 100% reflection from the surface of double layer dielectrics is applied in such a way that reflection coefficient tends to unity so that photonic band gaps are determined. But in transfer matrix method there are some complications needed for solving quadratic partial differential equations and applying continuity of tangent components of fields and Bloch’s condition, though the results are the samehttp://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-649&slc_lang=en&sid=1photonic crystals Fresnel coefficients reflection coefficient transfer matrix band gap
spellingShingle A Rahmatnezamabad
S Roshanentezar
H Afkhami
B Rahmatnezamabad
Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
Iranian Journal of Physics Research
photonic crystals
Fresnel coefficients
reflection coefficient
transfer matrix
band gap
title Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
title_full Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
title_fullStr Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
title_full_unstemmed Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
title_short Engineering photonic band gap in 1D phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
title_sort engineering photonic band gap in 1d phonic crystals using fresnel coefficients and comparing with the results of transfer matrix meghod
topic photonic crystals
Fresnel coefficients
reflection coefficient
transfer matrix
band gap
url http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-649&slc_lang=en&sid=1
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AT hafkhami engineeringphotonicbandgapin1dphoniccrystalsusingfresnelcoefficientsandcomparingwiththeresultsoftransfermatrixmeghod
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