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A multichannel filter based on ternary nano metallo-dielectric photonic crystal with Thue-Morse defect layer structure
Accepted Manuscript A multichannel filter based on ternary nano metallo-dielectric photonic crystal with Thue-Morse defect layer structure
Hadis Azarshab, Abdolrasoul Gharaati PII: DOI: Reference:
S0167-9317(18)30303-4 doi:10.1016/j.mee.2018.07.003 MEE 10827
To appear in:
Microelectronic Engineering
Received date: Revised date: Accepted date:
9 November 2017 22 June 2018 9 July 2018
Please cite this article as: Hadis Azarshab, Abdolrasoul Gharaati , A multichannel filter based on ternary nano metallo-dielectric photonic crystal with Thue-Morse defect layer structure. Mee (2018), doi:10.1016/j.mee.2018.07.003
This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
ACCEPTED MANUSCRIPT A Multichannel Filter Based on Ternary Nano Metallo-Dielectric Photonic Crystal with Thue-Morse Defect Layer Structure
Hadis Azarshab*1, Abdolrasoul Gharaati2 Department of Physics, Payame Noor University, I.R of Iran
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1,2
*Corresponding author: [email protected]
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ABSTRACT
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In this paper, we have investigated a multichannel filter by using one dimensional ternary photonic crystal (1DTPC). We have used Thue-Morse sequence (TMS) for defect layer. To model the multichannel filter, we have checked the effect of different number of unit cells (N)
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and TMS in defect layer (m). First, we have plotted transmission in terms of wavelength with different N in TPC. Then, we have shown transmission in terms of wavelength for different m
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in normal incidence. The analysis shows that there are three photonic bang gaps (PBG) with three channels in visible and two PBG with three channels in infrared regions in transverse electric (TE) polarizations. As we have shown the transmission value decreased by increasing
D
N. Moreover, the number of channels increased by increasing m in both visible and infrared
wavelength range.
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regions. So, by tuning them, this structure can use as multichannel filter within an optical
Keywords: multichannel filter; Thue Morse structure; ternary photonic crystal; defective
CE
photonic crystal.
AC
1. Introduction
Optical filters are devices that selectively transmit light of various wavelengths, while blocking the remainder which is called PBG [1-3]. A metallo-dielectric TPC is a periodic structure containing dielectric and metallic materials with different refractive indices. There are a lot of researches in using dielectric and metals in 1DTPC [4-19]. In this paper, we use transfer matrix method (TMM) method to calculate transmission in TPC [20-23]. The dielectric layers in TMS have put in binary series. The TMS structures are wellknown for their high transmission efficiency which is useful for modeling multichannel filter. In this structure by changing the number of TMS defect layers we can increase the number of
ACCEPTED MANUSCRIPT channels very much. We present a structure with TMS defect layers, (ABC)N / Sm+1/(CBA)N as multichannel filter , where A and C are dielectric, B is metallic layer and N is the number of unit cells. Also, the structure of TMS defect layer is Sm+1 where m is the number of TMS. This structure with a defect layer leads to several PBGs and more channels in both visible and infrared regions [24]. The purpose of this paper is to investigate the multichannel filter based on 1DTPC with TMS
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as defect layer. We specially investigate transmission as a function of wavelength in TE wave. As we shall show later, there are three PBG with three channels in visible and two PBG with three channels in infrared regions in TE polarization. The presence of TMS
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structure in defect layer leads to enhance PBG and defect modes in this multichannel filter.
SC
Also, the number of PBG and defect modes increases more by increasing N and m. The analysis of this structure gives some useful information for the design of multichannel
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transmission filter based on 1DPC.
2. Theoretical Analysis
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The Drude model [12,26] is used to calculate the wavelength dependence of metallic layer(Ag). So, metal permittivity in Drude model is
(1)
PT E
D
p2 , 2 ( ) 1 2 i
where p and γ are the plasma frequency and damping coefficient, respectively. Then metal
CE
refractive index is given by n2 2 [12]. We have used TMS for modeling our multichannel filter. The TMS has made of dielectric
AC
layers (E and F) with thicknesses d E , d F and their indices of refraction are n E and n F . In TMS, we have series as follows [13]
S m 1 S m S m*
(2)
Where S m* is the complement of S m . Thus, for calculating S m* , we should replace E with F and vice versa. So we have
S0 E
,
S 0* F
(2a)
ACCEPTED MANUSCRIPT S 1 S 0S 0* EF
,
S 1* FE
(2b)
S 2 S 1S 1* EFFE
,
S 2* FEEF
(2c)
S 3 S 2S 2* EFFEFEEF
,
S 4 S 3S 3* EFFEFEEFFEEFEFFE
,
S 3* FEEFEFFE
(2d)
And in this way we have,
SC
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S 5 (EFFEFEEFFEEFEFFEFEEFFEEFFEFEEF ) S 5* (FEEFEFFEEFFEEFEEFEFFEEFFEEFEFFE )
(2e)
PT
S 4* FEEFEFFEEFFEFEEF
(2f)
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According formula (2) for modeling filter with 6th generation of TMS we have, (3)
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S 6 S 5 S 5*
The TPC is (ABC)N, where N is the number of unit cells. According to formulas (2), Sm+1 of TMS is composed of S m and S m* and in order to have multi-channel filter we add the TMS as
PT E
M T (ABC )N S m 1 (CBA )N
D
defect layer in TPC between two parts,
(4)
CE
So the total characteristic matrix of the PC is given by [10,25-31] N
AC
m12 M 11 M 12 m N N M T 11 M (ABC ) S m 1 (CBA ) . m m M 22 22 21 21
(5)
Also, the transmission coefficient (t) is given by
t 2 p0 /( m11 m12 p0 ) p0 (m21 m22 ) p0
(6)
where p0 nc cos 0 . We can calculate the transmission [25-31].
Tt
2
(7)
ACCEPTED MANUSCRIPT 3. Results and Numerical Discussions In this paper, the layers A and C are GaSb and Si3N4 which their refractive indices and thicknesses are n A 3.9, d A 200nm and nc 2, d c 400nm . The metallic layer (B) is taken to be Silver (Ag) which its thickness is d B 10nm . The Ag plasma frequency and damping
are p 2 2.175 1015 rad / s ,
coefficient
and 2 4.35 1012 rad / s ,
PT
respectively [12, 20, 31]. The substrate is assumed to be InP with refractive index n0 3.16. Also, defect layer is taken to be InP and ZnSe which their indices of refraction and
RI
thicknesses are n E 3.16, n F 2.6 , and d E 100nm , d F 300nm , respectively. This
C
GaSb
Ag
Si3N4
nA=3.9
dB=10nm
nc=2
dA=200nm
dc=400nm
S m 1
C
B
A
Si3N4
Ag
GaSb
nc=2
dB=10nm
nA=3.9
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B
E: InP
nE=3.16
dE=100nm
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A
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structure is depicted in figure 1.
dc=400nm
dA=200nm
F: ZnSe
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N-cells
D
DF=300nm
N-cells
Fig. 1. The structure of TPC with TMS defect layer structure.
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3.1. The effect of N in TE Polarizations In figure 2, we have shown transmission in terms of wavelength in normal incidence for
AC
different N in visible region. We see that there are three PBGs with three defect modes for
N=2 and by increasing N the number of PBGs and defect modes do not change. Also, When N increases, light has to transmit among more layers, so transmission value will be decreased.
MA
NU
SC
RI
PT
ACCEPTED MANUSCRIPT
Fig. 2.Transmission in terms of wavelength in normal incidence for different N in visible region.
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In figure 3, we have plotted transmission in terms of wavelength for TPC with TMS structure and for different number of N in infrared region. We see that there are two PBGs and three
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defect modes, and by increasing N, the number of PBGs and defect modes do not change. But, the transmission value decreased by increasing N. We give the number of PBGs and
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CE
defect modes for different N in visible and infrared region in table 1.
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ACCEPTED MANUSCRIPT
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Fig. 3.Transmission in terms of wavelength for different N from 2 to 5 in normal incidence in infrared range.
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Table 1. The number of PBGs and channels (defect modes) in 1DTPC with TMS structure (ABC)N /
Sm+1/(CBA)N in both visible and infrared regions.
Infrared Region
No. of BGs
No. of filter's channels
No. of PBGs
No. of filter's channels
2
3
3
2
3
3
3
3
2
3
4
3
3
2
3
5
3
3
2
3
PT E
D
N
MA
NU
Visible Region
3.2. The effect of m in TE Polarizations In figure 4, we have shown transmission in terms of wavelength for different m in visible
CE
range for TE polarization. As we see by increasing m, the number of PBGs does not change.
AC
But, the number of defect modes increases a lot.
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ACCEPTED MANUSCRIPT
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Fig. 4.Transmission in terms of wavelength for different m with TMS defect layer (Sm+1) from 1 to 4 in visible
SC
range.
In figure 5, we have shown transmission in terms of wavelength for different m with TMS defect layer structure (Sm+1) in infrared region. We see that for the TMS structure in PC we
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have the other PBG in infrared region, which its defect modes increase by increasing N. We give the number of PBGs and defect modes for different m in both visible and infrared range
AC
CE
PT E
D
MA
in table 2.
Fig. 5 .Transmission in terms of wavelength for different m from 1 to 4 in infrared range.
ACCEPTED MANUSCRIPT Table 2. The number of PBGs and channels in 1DTPC with TMS structure (ABC)N / Sm+1/(CBA)N in both visible and infrared regions.
Visible Region
Infrared Region
No. of BGs
No. of filter's channels
No. of PBGs
No. of filter's channels
1
3
3
2
3
2
3
6
2
5
3
3
9
2
7
4
3
19
2
12
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PT
m
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4. Conclusions
In this paper, we have shown that 1DTPC with TMS structure can use as multichannel filter.
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We have modeled this with the structure (ABC)N / Sm+1/(CBA)N where Sm+1 is TMS. Also, A, C and B are dielectric and metallic layers, respectively. First, we have plotted transmission in
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terms of wavelength for the different number of unit cells (N) and shown that there are three PBG and three channels in visible range. Also, there are two PBGs and three channels in infrared regions. Furthermore, the transmission value decreased by increasing N. Then, we
D
have shown transmission in terms of wavelength for different number of TMS defect layers
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(m) in both visible and infrared regions, and we have seen that there are three PBGs in visible region and the number of channels increase a lot by increasing m. Also, there are two PBGs in infrared range, and the number of defect modes increase by increasing m. So, we have
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more transmission peaks by increasing m. Our analysis shows that 1DTPC with TMS defect layer structure can use as multichannel filter with high transmission and can be tuned by
AC
increasing N and m. This structure can be used in optical communications. Acknowledgment
This work has been financially supported by Payame Noor University (PNU) under the Grant of Dr. Gharaati. References [1] K. Sakoda, “Optical Properties of Photonic Crystals,” Springer-Verlag, Berlin, 2001. [2] J. D. Joannopoulos, R. D. Meade, J. N.Winn, “Photonic Crystals: Molding the Flow of Light,” Princeton University Press, Princeton, NJ ,1995.
ACCEPTED MANUSCRIPT [3] M. Skorobogatiy, J. Yang, “Fundamentals of Photonic Crystal guiding,”Cambridge University Press, 2009. [4] C. J. Wu, Y. J. Lee, T. C. King, W.K. Kuo, “A multichannel filter based on the finite plasma photonic crystal,”Key Engineering Materials, Vol.538,2013, pp. 297-300. [5] B. Xu, G. Zheng, Y.Wu,“ Narrow band and angle insensitive filter based on one dimensional photonic crystal containing graded index defect, ” Mod. Phys. Lett.B.V.29,2015, pp.128-136.
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[6] R. Khodadadi, “Adjustable Filters for Optical Communications Systems Based On Onedimensional Photonic Crystal Structures,” International Journal of Engineering Research and Application (IJERA), V.2, 2012, pp.272-276.
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[7] T.W. Chang, C.J.W,“Analysis in a photonic crystal multichannel filter containing coupled defects,” Optik 124, 2013, pp.2028-2032.
SC
[8] A. H. Aly, S.Walied, H.A. Elsayed, “Cutoff frequency in metamaterials photonic crystals within Terahertz frequency,” Int J Mod.Phys. B,V.31, 2017, pp. 1750123-1750131.
NU
[9]A. H .Aly, S.A. El-Naggar, H.A.Elsayed, “Tunability of two dimensional n-doped semiconductor photonic crystals based on the Faraday effect,” Optics Express, V.23, 2015, PP.15038-15046.
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[10] J. He, P. Liu, Y.He, Z. Hong, “Narrow bandpass tunable terahertz filter based on photonic crystal cavity,” Optical Society of America, V.51, 2012, pp.776-779. [11] T. Karrock, M. Paulsen, M. Gerken, “Flexible photonic crystal membranes with nanoparticle high refractive index layers,” Beilstein J. Nanotechnol. V. 8, 2017, pp. 203–209.
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[12] A. Gharaati, H. Azarshab, “Characterization of defect modes in one-dimensional ternary metallo-dielectric nanolayered photonic crystal,”,PIER B, V.37, 2012, pp.125-141. [13] H. Alipour Banaei, S Seraj mohammadi, F. Mehdizadeh, M. Hassangholizadeh Kashtiban, “Special Optical Communication Filter Based On Thue–Morse Photonic Crystal Structure,” Optica Applicata, V. XLVI, 2016, pp.145-152.
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[14] A.Gharaati, H. Azarshab, “Characterization of defect modes in one dimensional binary metallodielectric nanolayered photonic crystal,” International Journal of Physics, 2011, pp. 149-162.
AC
[15] H. Azarshab., A. Gharaati, “Analysis Of Tuning Channel Filter Based On Ternary Lossy Defective Metallo-Dielectric Nano Photonic Crystal,” PIER Lett., Vol. 68, 2017, pp.113-119. [16] H. A. Elsayed, A. H. Aly, “Terahertz frequency superconductor-nanocomposite photonic band gap,” Int J Mod.Phys. B, V.32, 2018, pp. 1850056-1850066. [17] H. Badaoui , M. Abri, H Chaker, “Optimal Selective Arbitrary-Spaced Filters Optimization Using GA Synthesis in One-Dimensional Silicon Photonic Crystal,” Silicon,2018, https://doi.org/10.1007/s12633-018-9883-3, pp.1-7. [18] A.H. Aly, H. A. Elsayed, C. Malek, “ Defect modes properties in one-dimensional photonic crystals employing a superconducting nanocomposite material,”Opptica Applicata , V.48, 2018, pp.53-64.
ACCEPTED MANUSCRIPT [19] E.L. González, J. E. Ordoñez, G. Zambrano , “YBa2Cu3O7−x /BaTiO3 1D Superconducting Photonic Crystal with Tunable Broadband Response in the Visible Range, ” J Supercond Nov Magn. V.31, 2018, pp.2003-2009. [20] P. Yeh, “Optical Waves in Layered Media,” Wiley, New York (2005). [21] K. Tang, Y.Xiang, and S. Wen, “Tunable transmission and defect mode in one-dimensional ternary left-handed photonic crystal, ” Proc. of SPIE , 2005,pp.60200S.1-60200S. [22] M. Skorobogatiy, and J.Yang, “Fundamentals of Photonic Crystal guiding,” Cambridge University Press, 2009, pp.132.
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[23] S. Fan, P.R. Villeneuve, J.D. Joannopoulos, “Large omnidirectional band gaps in metallodielectric photonic crystals, ” Phys. Rev. B. V. 54, 1994, pp.11245-11252 .
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[24] P. Markos, and C. M. Soukoulis, “Wave Propagation: From Electrons to Photonic Crystals and Left handed Materials,” Princeton University Press, New Jersey ,2008.
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[25] J. D. Jackson, “Classical Electrodynamics,” Third Edition, California University, 1999, pp.311. [26] C. J. Wu, Y.H.Chung, and B.J. Syu, “Band gap extension in a one-dimensional ternary metaldielectric photonic crystal,” PIER V.102, 2010, pp.81-93.
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[27] M. J.P. Loschialpo, and J. Schelleng,“Photonic band gap structure and transmissivity of frequency-dependant metallic-dielectric systems,” J. Appl. Phys, V. 88, 2000, pp.5785-5790.
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[28] D.M. Topasna, and G.A.Topasna, “Numerical Modeling of Thin film Optical filters, ” J. Opt. Soc. Am. A, Education and Training in Optics and Photonics (ETOP), July 5, 2009, pp.230-239.
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[29] S.K.U. Malaviya, and S.P.Ojha, “Enhancement of omnidirectional total-reflection wavelength ranges by using one-dimensional ternary photonic bandgap material,” J. Opt. Soc. Am. B: Optical Physics, V.23, 2006, pp. 2566-2571. [30] M. Born, and E.Wolf, “Principles of Optics,” Cambridge, London ,1999.
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[31] B. E.A. Saleh, and M.C.Teich, “Fundamentals of Photonics,” Wiley, New York, 2007.
Hadis Azarshab, Abdolrasoul Gharaati PII: DOI: Reference:
S0167-9317(18)30303-4 doi:10.1016/j.mee.2018.07.003 MEE 10827
To appear in:
Microelectronic Engineering
Received date: Revised date: Accepted date:
9 November 2017 22 June 2018 9 July 2018
Please cite this article as: Hadis Azarshab, Abdolrasoul Gharaati , A multichannel filter based on ternary nano metallo-dielectric photonic crystal with Thue-Morse defect layer structure. Mee (2018), doi:10.1016/j.mee.2018.07.003
This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
ACCEPTED MANUSCRIPT A Multichannel Filter Based on Ternary Nano Metallo-Dielectric Photonic Crystal with Thue-Morse Defect Layer Structure
Hadis Azarshab*1, Abdolrasoul Gharaati2 Department of Physics, Payame Noor University, I.R of Iran
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1,2
*Corresponding author: [email protected]
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ABSTRACT
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In this paper, we have investigated a multichannel filter by using one dimensional ternary photonic crystal (1DTPC). We have used Thue-Morse sequence (TMS) for defect layer. To model the multichannel filter, we have checked the effect of different number of unit cells (N)
NU
and TMS in defect layer (m). First, we have plotted transmission in terms of wavelength with different N in TPC. Then, we have shown transmission in terms of wavelength for different m
MA
in normal incidence. The analysis shows that there are three photonic bang gaps (PBG) with three channels in visible and two PBG with three channels in infrared regions in transverse electric (TE) polarizations. As we have shown the transmission value decreased by increasing
D
N. Moreover, the number of channels increased by increasing m in both visible and infrared
wavelength range.
PT E
regions. So, by tuning them, this structure can use as multichannel filter within an optical
Keywords: multichannel filter; Thue Morse structure; ternary photonic crystal; defective
CE
photonic crystal.
AC
1. Introduction
Optical filters are devices that selectively transmit light of various wavelengths, while blocking the remainder which is called PBG [1-3]. A metallo-dielectric TPC is a periodic structure containing dielectric and metallic materials with different refractive indices. There are a lot of researches in using dielectric and metals in 1DTPC [4-19]. In this paper, we use transfer matrix method (TMM) method to calculate transmission in TPC [20-23]. The dielectric layers in TMS have put in binary series. The TMS structures are wellknown for their high transmission efficiency which is useful for modeling multichannel filter. In this structure by changing the number of TMS defect layers we can increase the number of
ACCEPTED MANUSCRIPT channels very much. We present a structure with TMS defect layers, (ABC)N / Sm+1/(CBA)N as multichannel filter , where A and C are dielectric, B is metallic layer and N is the number of unit cells. Also, the structure of TMS defect layer is Sm+1 where m is the number of TMS. This structure with a defect layer leads to several PBGs and more channels in both visible and infrared regions [24]. The purpose of this paper is to investigate the multichannel filter based on 1DTPC with TMS
PT
as defect layer. We specially investigate transmission as a function of wavelength in TE wave. As we shall show later, there are three PBG with three channels in visible and two PBG with three channels in infrared regions in TE polarization. The presence of TMS
RI
structure in defect layer leads to enhance PBG and defect modes in this multichannel filter.
SC
Also, the number of PBG and defect modes increases more by increasing N and m. The analysis of this structure gives some useful information for the design of multichannel
NU
transmission filter based on 1DPC.
2. Theoretical Analysis
MA
The Drude model [12,26] is used to calculate the wavelength dependence of metallic layer(Ag). So, metal permittivity in Drude model is
(1)
PT E
D
p2 , 2 ( ) 1 2 i
where p and γ are the plasma frequency and damping coefficient, respectively. Then metal
CE
refractive index is given by n2 2 [12]. We have used TMS for modeling our multichannel filter. The TMS has made of dielectric
AC
layers (E and F) with thicknesses d E , d F and their indices of refraction are n E and n F . In TMS, we have series as follows [13]
S m 1 S m S m*
(2)
Where S m* is the complement of S m . Thus, for calculating S m* , we should replace E with F and vice versa. So we have
S0 E
,
S 0* F
(2a)
ACCEPTED MANUSCRIPT S 1 S 0S 0* EF
,
S 1* FE
(2b)
S 2 S 1S 1* EFFE
,
S 2* FEEF
(2c)
S 3 S 2S 2* EFFEFEEF
,
S 4 S 3S 3* EFFEFEEFFEEFEFFE
,
S 3* FEEFEFFE
(2d)
And in this way we have,
SC
RI
S 5 (EFFEFEEFFEEFEFFEFEEFFEEFFEFEEF ) S 5* (FEEFEFFEEFFEEFEEFEFFEEFFEEFEFFE )
(2e)
PT
S 4* FEEFEFFEEFFEFEEF
(2f)
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According formula (2) for modeling filter with 6th generation of TMS we have, (3)
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S 6 S 5 S 5*
The TPC is (ABC)N, where N is the number of unit cells. According to formulas (2), Sm+1 of TMS is composed of S m and S m* and in order to have multi-channel filter we add the TMS as
PT E
M T (ABC )N S m 1 (CBA )N
D
defect layer in TPC between two parts,
(4)
CE
So the total characteristic matrix of the PC is given by [10,25-31] N
AC
m12 M 11 M 12 m N N M T 11 M (ABC ) S m 1 (CBA ) . m m M 22 22 21 21
(5)
Also, the transmission coefficient (t) is given by
t 2 p0 /( m11 m12 p0 ) p0 (m21 m22 ) p0
(6)
where p0 nc cos 0 . We can calculate the transmission [25-31].
Tt
2
(7)
ACCEPTED MANUSCRIPT 3. Results and Numerical Discussions In this paper, the layers A and C are GaSb and Si3N4 which their refractive indices and thicknesses are n A 3.9, d A 200nm and nc 2, d c 400nm . The metallic layer (B) is taken to be Silver (Ag) which its thickness is d B 10nm . The Ag plasma frequency and damping
are p 2 2.175 1015 rad / s ,
coefficient
and 2 4.35 1012 rad / s ,
PT
respectively [12, 20, 31]. The substrate is assumed to be InP with refractive index n0 3.16. Also, defect layer is taken to be InP and ZnSe which their indices of refraction and
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thicknesses are n E 3.16, n F 2.6 , and d E 100nm , d F 300nm , respectively. This
C
GaSb
Ag
Si3N4
nA=3.9
dB=10nm
nc=2
dA=200nm
dc=400nm
S m 1
C
B
A
Si3N4
Ag
GaSb
nc=2
dB=10nm
nA=3.9
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B
E: InP
nE=3.16
dE=100nm
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A
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structure is depicted in figure 1.
dc=400nm
dA=200nm
F: ZnSe
PT E
N-cells
D
DF=300nm
N-cells
Fig. 1. The structure of TPC with TMS defect layer structure.
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3.1. The effect of N in TE Polarizations In figure 2, we have shown transmission in terms of wavelength in normal incidence for
AC
different N in visible region. We see that there are three PBGs with three defect modes for
N=2 and by increasing N the number of PBGs and defect modes do not change. Also, When N increases, light has to transmit among more layers, so transmission value will be decreased.
MA
NU
SC
RI
PT
ACCEPTED MANUSCRIPT
Fig. 2.Transmission in terms of wavelength in normal incidence for different N in visible region.
D
In figure 3, we have plotted transmission in terms of wavelength for TPC with TMS structure and for different number of N in infrared region. We see that there are two PBGs and three
PT E
defect modes, and by increasing N, the number of PBGs and defect modes do not change. But, the transmission value decreased by increasing N. We give the number of PBGs and
AC
CE
defect modes for different N in visible and infrared region in table 1.
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ACCEPTED MANUSCRIPT
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Fig. 3.Transmission in terms of wavelength for different N from 2 to 5 in normal incidence in infrared range.
SC
Table 1. The number of PBGs and channels (defect modes) in 1DTPC with TMS structure (ABC)N /
Sm+1/(CBA)N in both visible and infrared regions.
Infrared Region
No. of BGs
No. of filter's channels
No. of PBGs
No. of filter's channels
2
3
3
2
3
3
3
3
2
3
4
3
3
2
3
5
3
3
2
3
PT E
D
N
MA
NU
Visible Region
3.2. The effect of m in TE Polarizations In figure 4, we have shown transmission in terms of wavelength for different m in visible
CE
range for TE polarization. As we see by increasing m, the number of PBGs does not change.
AC
But, the number of defect modes increases a lot.
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ACCEPTED MANUSCRIPT
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Fig. 4.Transmission in terms of wavelength for different m with TMS defect layer (Sm+1) from 1 to 4 in visible
SC
range.
In figure 5, we have shown transmission in terms of wavelength for different m with TMS defect layer structure (Sm+1) in infrared region. We see that for the TMS structure in PC we
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have the other PBG in infrared region, which its defect modes increase by increasing N. We give the number of PBGs and defect modes for different m in both visible and infrared range
AC
CE
PT E
D
MA
in table 2.
Fig. 5 .Transmission in terms of wavelength for different m from 1 to 4 in infrared range.
ACCEPTED MANUSCRIPT Table 2. The number of PBGs and channels in 1DTPC with TMS structure (ABC)N / Sm+1/(CBA)N in both visible and infrared regions.
Visible Region
Infrared Region
No. of BGs
No. of filter's channels
No. of PBGs
No. of filter's channels
1
3
3
2
3
2
3
6
2
5
3
3
9
2
7
4
3
19
2
12
RI
PT
m
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4. Conclusions
In this paper, we have shown that 1DTPC with TMS structure can use as multichannel filter.
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We have modeled this with the structure (ABC)N / Sm+1/(CBA)N where Sm+1 is TMS. Also, A, C and B are dielectric and metallic layers, respectively. First, we have plotted transmission in
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terms of wavelength for the different number of unit cells (N) and shown that there are three PBG and three channels in visible range. Also, there are two PBGs and three channels in infrared regions. Furthermore, the transmission value decreased by increasing N. Then, we
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have shown transmission in terms of wavelength for different number of TMS defect layers
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(m) in both visible and infrared regions, and we have seen that there are three PBGs in visible region and the number of channels increase a lot by increasing m. Also, there are two PBGs in infrared range, and the number of defect modes increase by increasing m. So, we have
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more transmission peaks by increasing m. Our analysis shows that 1DTPC with TMS defect layer structure can use as multichannel filter with high transmission and can be tuned by
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increasing N and m. This structure can be used in optical communications. Acknowledgment
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