One-dimensional multiband terahertz graphene photonic crystal filters

Yizhe Li; Limei Qi; Junsheng Yu; Zhijiao Chen; Yuan Yao; Xiaoming Liu

doi:10.1364/OME.7.001228

One-dimensional multiband terahertz graphene photonic crystal filters

Yizhe Li, Limei Qi, Junsheng Yu, Zhijiao Chen, Yuan Yao, and Xiaoming Liu

Optical Materials Express
Vol. 7,
Issue 4,
pp. 1228-1239
(2017)
•https://doi.org/10.1364/OME.7.001228

Get Citation
Copy Citation Text
Yizhe Li, Limei Qi, Junsheng Yu, Zhijiao Chen, Yuan Yao, and Xiaoming Liu, "One-dimensional multiband terahertz graphene photonic crystal filters," Opt. Mater. Express 7, 1228-1239 (2017)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (3751 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Fiber Materials
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Filters (120.2440)
- Photonic bandgap materials (160.5293)

About this Article
History
- Original Manuscript: December 8, 2016
- Revised Manuscript: February 21, 2017
- Manuscript Accepted: February 21, 2017
- Published: March 10, 2017

Accessible

Open Access

Abstract

Properties of one-dimensional graphene photonic crystals with dual-layer defects are studied. Results show that two defect modes appear within the gaps, and the defect modes shift to the lower frequencies with the chemical potential increasing, the physical mechanism are also given based on the relative dielectric constant of the graphene. It is also found that the frequency, magnitude, and numbers of the defect modes can vary with the symmetrical changes of the dual-defect layers. For oblique incidence, the defect modes of the TE polarization follow a similar trend with the TM polarization, and all the defect modes shift to the higher frequencies and disappear while new defect modes appear at the larger incident angles. These properties of graphene photonic crystals with dual-layer defects have potential applications in tunable terahertz narrow multiband filters.

Full Article | PDF Article

OSA Recommended Articles

Tunable Bragg defect mode in one-dimensional photonic crystal containing a graphene-embedded defect layer

H. Mahmoodzadeh and B. Rezaei
Appl. Opt. 57(9) 2172-2176 (2018)

Optical properties of a one-dimensional photonic crystal containing a graphene-based hyperbolic metamaterial defect layer

Ziba Saleki, Samad Roshan Entezar, and Amir Madani
Appl. Opt. 56(2) 317-323 (2017)

Complex band structures of 1D anisotropic graphene photonic crystal

Limei Qi and Chang Liu
Photon. Res. 5(6) 543-551 (2017)

References

View by:
Article Order
|
Year
|
Author
|
Publication

S. Stankovich, D. A. Dikin, G. H. Dommett, K. M. Kohlhaas, E. J. Zimney, E. A. Stach, R. D. Piner, S. T. Nguyen, and R. S. Ruoff, “Graphene-based composite materials,” Nature 442(7100), 282–286 (2006).
[Crossref] [PubMed]
D. Li and R. B. Kaner, “Materials science. Graphene-based materials,” Science 320(5880), 1170–1171 (2008).
[Crossref] [PubMed]
J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]
D. V. Kosynkin, A. L. Higginbotham, A. Sinitskii, J. R. Lomeda, A. Dimiev, B. K. Price, and J. M. Tour, “Longitudinal unzipping of carbon nanotubes to form graphene nanoribbons,” Nature 458(7240), 872–876 (2009).
[Crossref] [PubMed]
L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]
A. Reina, X. Jia, J. Ho, D. Nezich, H. Son, V. Bulovic, M. S. Dresselhaus, and J. Kong, “Large area, few-layer graphene films on arbitrary substrates by chemical vapor deposition,” Nano Lett. 9(1), 30–35 (2009).
[Crossref] [PubMed]
K. S. Kim, Y. Zhao, H. Jang, S. Y. Lee, J. M. Kim, K. S. Kim, J.-H. Ahn, P. Kim, J.-Y. Choi, and B. H. Hong, “Large-scale pattern growth of graphene films for stretchable transparent electrodes,” Nature 457(7230), 706–710 (2009).
[Crossref] [PubMed]
C. S. R. Kaipa, A. B. Yakovlev, G. W. Hanson, Y. R. Padooru, F. Medina, and F. Mesa, “Enhanced transmission with a graphene-dielectric microstructure at low-terahertz frequencies,” Phys. Rev. B 85(24), 245407 (2012).
[Crossref]
A. Madani and S. R. Entezar, “Optical properties of one-dimensional photonic crystals containing graphene sheets,” Phys. B 431(15), 1–5 (2013).
[Crossref]
H. Hajian, A. Soltani-Vala, and M. Kalafi, “Characteristics of band structure and surface plasmons supported by a one-dimensional graphene-dielectric photonic crystal,” Opt. Commun. 292, 149–157 (2013).
[Crossref]
Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]
A. W. Lima and A. S. B. Sombra, “Graphene-photonic crystal switch,” Opt. Commun. 321, 150–156 (2014).
[Crossref]
H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]
H. Zhang, S. Virally, Q. Bao, L. K. Ping, S. Massar, N. Godbout, and P. Kockaert, “Z-scan measurement of the nonlinear refractive index of graphene,” Opt. Lett. 37(11), 1856–1858 (2012).
[Crossref] [PubMed]
Y. Liu, X. Xie, L. Xie, Z. Yang, and H. Yang, “Dual-band absorption characteristics of one-dimensional photonic crystal with graphene-based defect,” Optik (Stuttg.) 127(9), 3945–3948 (2016).
[Crossref]
M. A. Vincenti, D. de Ceglia, M. Grande, A. D’Orazio, and M. Scalora, “Nonlinear control of absorption in one-dimensional photonic crystal with graphene-based defect,” Opt. Lett. 38(18), 3550–3553 (2013).
[Crossref] [PubMed]
Z. Arefinia and A. Asgari, “Novel attributes in the scaling and performance considerations of the one-dimensional graphene-based photonic crystals for terahertz applications,” Phys. E 54, 34–39 (2013).
[Crossref]
J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]
A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative Refraction with Superior Transmission in Graphene-Hexagonal Boron Nitride (hBN) Multilayer Hyper Crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]
B. Zhu, G. Ren, S. Zheng, Z. Lin, and S. Jian, “Nanoscale dielectric-graphene-dielectric tunable infrared waveguide with ultrahigh refractive indices,” Opt. Express 21(14), 17089–17096 (2013).
[Crossref] [PubMed]
G. Ding, S. Liu, H. Zhang, X. Kong, H. Li, B. Li, S. Liu, and H. Li, “Tunable electromagnetically induced transparency at terahertz frequencies in coupled graphene metamaterial,” Chin. Phys. B 24(11), 118103 (2015).
[Crossref]
B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]
A. Andryieuski and A. V. Lavrinenko, “Graphene metamaterials based tunable terahertz absorber: effective surface conductivity approach,” Opt. Express 21(7), 9144–9155 (2013).
[Crossref] [PubMed]
L. Hu and S. T. Chui, “Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials,” Phys. Rev. B 66(8), 085108 (2002).
[Crossref]
L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]
B. Guo, “Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals,” Plasma Sci. Technol. 11(1), 18–22 (2009).
[Crossref]
L. Qi and X. Zhang, “Photonic band gaps of one-dimensional ternary plasma photonic crystals with periodic and periodic-varying structures,” J. Electromagn. Waves Appl. 25(4), 539–552 (2011).
[Crossref]
L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]
J. D. Cressler, Silicon Heterostructure Handbook: Materials, Fabrication, Devices, Circuits and Applications of SiGe and Si Strained-Layer Epitaxy (CRC Press 2006).
L. Huang, D. R. Chowdhury, S. Ramani, and T. Matthew, “Reiten, S. Luo, A. J. Taylor, and H. Chen, “Experimental demonstration of terahertz metamaterial absorbers with a broad and flat high absorption band,” Opt. Express 37(2), 154–156 (2012).
X. He, “Tunable terahertz graphene metamaterials,” Carbon 82, 229–237 (2015).
[Crossref]
A. Marini and F. J. García de Abajo, “Graphene-Based Active Random Metamaterials for Cavity-Free Lasing,” Phys. Rev. Lett. 116(21), 217401 (2016).
[Crossref] [PubMed]
D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals-Molding the Flow of Light (Princeton University Press, 2008).
D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

2016 (4)

J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]

A. A. Sayem, M. M. Rahman, M. R. C. Mahdy, I. Jahangir, and M. S. Rahman, “Negative Refraction with Superior Transmission in Graphene-Hexagonal Boron Nitride (hBN) Multilayer Hyper Crystal,” Sci. Rep. 6(1), 25442 (2016).
[Crossref] [PubMed]

Y. Liu, X. Xie, L. Xie, Z. Yang, and H. Yang, “Dual-band absorption characteristics of one-dimensional photonic crystal with graphene-based defect,” Optik (Stuttg.) 127(9), 3945–3948 (2016).
[Crossref]

A. Marini and F. J. García de Abajo, “Graphene-Based Active Random Metamaterials for Cavity-Free Lasing,” Phys. Rev. Lett. 116(21), 217401 (2016).
[Crossref] [PubMed]

2015 (3)

X. He, “Tunable terahertz graphene metamaterials,” Carbon 82, 229–237 (2015).
[Crossref]

G. Ding, S. Liu, H. Zhang, X. Kong, H. Li, B. Li, S. Liu, and H. Li, “Tunable electromagnetically induced transparency at terahertz frequencies in coupled graphene metamaterial,” Chin. Phys. B 24(11), 118103 (2015).
[Crossref]

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

2014 (2)

A. W. Lima and A. S. B. Sombra, “Graphene-photonic crystal switch,” Opt. Commun. 321, 150–156 (2014).
[Crossref]

L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]

2013 (8)

A. Madani and S. R. Entezar, “Optical properties of one-dimensional photonic crystals containing graphene sheets,” Phys. B 431(15), 1–5 (2013).
[Crossref]

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Characteristics of band structure and surface plasmons supported by a one-dimensional graphene-dielectric photonic crystal,” Opt. Commun. 292, 149–157 (2013).
[Crossref]

A. Andryieuski and A. V. Lavrinenko, “Graphene metamaterials based tunable terahertz absorber: effective surface conductivity approach,” Opt. Express 21(7), 9144–9155 (2013).
[Crossref] [PubMed]

B. Zhu, G. Ren, S. Zheng, Z. Lin, and S. Jian, “Nanoscale dielectric-graphene-dielectric tunable infrared waveguide with ultrahigh refractive indices,” Opt. Express 21(14), 17089–17096 (2013).
[Crossref] [PubMed]

M. A. Vincenti, D. de Ceglia, M. Grande, A. D’Orazio, and M. Scalora, “Nonlinear control of absorption in one-dimensional photonic crystal with graphene-based defect,” Opt. Lett. 38(18), 3550–3553 (2013).
[Crossref] [PubMed]

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

Z. Arefinia and A. Asgari, “Novel attributes in the scaling and performance considerations of the one-dimensional graphene-based photonic crystals for terahertz applications,” Phys. E 54, 34–39 (2013).
[Crossref]

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

2012 (3)

C. S. R. Kaipa, A. B. Yakovlev, G. W. Hanson, Y. R. Padooru, F. Medina, and F. Mesa, “Enhanced transmission with a graphene-dielectric microstructure at low-terahertz frequencies,” Phys. Rev. B 85(24), 245407 (2012).
[Crossref]

H. Zhang, S. Virally, Q. Bao, L. K. Ping, S. Massar, N. Godbout, and P. Kockaert, “Z-scan measurement of the nonlinear refractive index of graphene,” Opt. Lett. 37(11), 1856–1858 (2012).
[Crossref] [PubMed]

L. Huang, D. R. Chowdhury, S. Ramani, and T. Matthew, “Reiten, S. Luo, A. J. Taylor, and H. Chen, “Experimental demonstration of terahertz metamaterial absorbers with a broad and flat high absorption band,” Opt. Express 37(2), 154–156 (2012).

2011 (1)

L. Qi and X. Zhang, “Photonic band gaps of one-dimensional ternary plasma photonic crystals with periodic and periodic-varying structures,” J. Electromagn. Waves Appl. 25(4), 539–552 (2011).
[Crossref]

2010 (1)

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

2009 (5)

B. Guo, “Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals,” Plasma Sci. Technol. 11(1), 18–22 (2009).
[Crossref]

D. V. Kosynkin, A. L. Higginbotham, A. Sinitskii, J. R. Lomeda, A. Dimiev, B. K. Price, and J. M. Tour, “Longitudinal unzipping of carbon nanotubes to form graphene nanoribbons,” Nature 458(7240), 872–876 (2009).
[Crossref] [PubMed]

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

A. Reina, X. Jia, J. Ho, D. Nezich, H. Son, V. Bulovic, M. S. Dresselhaus, and J. Kong, “Large area, few-layer graphene films on arbitrary substrates by chemical vapor deposition,” Nano Lett. 9(1), 30–35 (2009).
[Crossref] [PubMed]

K. S. Kim, Y. Zhao, H. Jang, S. Y. Lee, J. M. Kim, K. S. Kim, J.-H. Ahn, P. Kim, J.-Y. Choi, and B. H. Hong, “Large-scale pattern growth of graphene films for stretchable transparent electrodes,” Nature 457(7230), 706–710 (2009).
[Crossref] [PubMed]

2008 (1)

D. Li and R. B. Kaner, “Materials science. Graphene-based materials,” Science 320(5880), 1170–1171 (2008).
[Crossref] [PubMed]

2007 (1)

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

2006 (1)

S. Stankovich, D. A. Dikin, G. H. Dommett, K. M. Kohlhaas, E. J. Zimney, E. A. Stach, R. D. Piner, S. T. Nguyen, and R. S. Ruoff, “Graphene-based composite materials,” Nature 442(7100), 282–286 (2006).
[Crossref] [PubMed]

2002 (1)

L. Hu and S. T. Chui, “Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials,” Phys. Rev. B 66(8), 085108 (2002).
[Crossref]

1993 (1)

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Ahn, J.-H.

Andryieuski, A.

Arefinia, Z.

Asgari, A.

Bao, Q.

Booth, T. J.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Brommer, K. D.

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Bulovic, V.

Cao, Y.

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

Chen, W.

J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]

Choi, J.-Y.

Chowdhury, D. R.

Chui, S. T.

L. Hu and S. T. Chui, “Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials,” Phys. Rev. B 66(8), 085108 (2002).
[Crossref]

D’Orazio, A.

Dai, H.

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

de Ceglia, D.

Diankov, G.

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

Dikin, D. A.

Dimiev, A.

Ding, G.

Dommett, G. H.

Dresselhaus, M. S.

Entezar, S. R.

A. Madani and S. R. Entezar, “Optical properties of one-dimensional photonic crystals containing graphene sheets,” Phys. B 431(15), 1–5 (2013).
[Crossref]

Fu, J.

J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]

Gajic, R.

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

Gao, X.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

García de Abajo, F. J.

A. Marini and F. J. García de Abajo, “Graphene-Based Active Random Metamaterials for Cavity-Free Lasing,” Phys. Rev. Lett. 116(21), 217401 (2016).
[Crossref] [PubMed]

Geim, A. K.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Godbout, N.

Grande, M.

Guo, B.

B. Guo, “Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals,” Plasma Sci. Technol. 11(1), 18–22 (2009).
[Crossref]

Hajian, H.

Hanson, G. W.

He, X.

X. He, “Tunable terahertz graphene metamaterials,” Carbon 82, 229–237 (2015).
[Crossref]

Higginbotham, A. L.

Ho, J.

Hong, B. H.

Hu, L.

L. Hu and S. T. Chui, “Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials,” Phys. Rev. B 66(8), 085108 (2002).
[Crossref]

Huang, L.

Isic, G.

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

Jahangir, I.

Jakovljevic, M. M.

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

Jang, H.

Jia, X.

Jian, S.

Jiao, L.

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

Joannopoulos, J. D.

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Kaipa, C. S. R.

Kalafi, M.

Kaner, R. B.

D. Li and R. B. Kaner, “Materials science. Graphene-based materials,” Science 320(5880), 1170–1171 (2008).
[Crossref] [PubMed]

Katsnelson, M. I.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Kim, J. M.

Kim, K. S.

Kim, P.

Kockaert, P.

Kohlhaas, K. M.

Kong, J.

Kong, X.

Kosynkin, D. V.

Lan, F.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

Lavrinenko, A. V.

Lee, S. Y.

Li, B.

Li, D.

D. Li and R. B. Kaner, “Materials science. Graphene-based materials,” Science 320(5880), 1170–1171 (2008).
[Crossref] [PubMed]

Li, H.

Lima, A. W.

A. W. Lima and A. S. B. Sombra, “Graphene-photonic crystal switch,” Opt. Commun. 321, 150–156 (2014).
[Crossref]

Lin, Z.

Liu, S.

Liu, Y.

Lomeda, J. R.

Lv, B.

J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]

Madani, A.

A. Madani and S. R. Entezar, “Optical properties of one-dimensional photonic crystals containing graphene sheets,” Phys. B 431(15), 1–5 (2013).
[Crossref]

Mahdy, M. R. C.

Marini, A.

A. Marini and F. J. García de Abajo, “Graphene-Based Active Random Metamaterials for Cavity-Free Lasing,” Phys. Rev. Lett. 116(21), 217401 (2016).
[Crossref] [PubMed]

Massar, S.

Matthew, T.

Meade, D.

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Medina, F.

Mesa, F.

Meyer, J. C.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Nezich, D.

Nguyen, S. T.

Novoselov, K. S.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Padooru, Y. R.

Piner, R. D.

Ping, L. K.

Price, B. K.

Qi, L.

L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

Rahman, M. M.

Rahman, M. S.

Ramani, S.

Rappe, A. M.

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Reina, A.

Ren, G.

Roth, S.

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

Ruoff, R. S.

Sayem, A. A.

Scalora, M.

Shang, L.

L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]

Shi, Z.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

Sinitskii, A.

Soltani-Vala, A.

Sombra, A. S. B.

A. W. Lima and A. S. B. Sombra, “Graphene-photonic crystal switch,” Opt. Commun. 321, 150–156 (2014).
[Crossref]

Son, H.

Stach, E. A.

Stankovich, S.

Tour, J. M.

Vasic, B.

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

Vincenti, M. A.

Virally, S.

Wang, X.

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

Wu, Z.

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

Xie, L.

Xie, X.

Yakovlev, A. B.

Yang, H.

Yang, Z.

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

Zhang, H.

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

Zhang, L.

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

Zhang, S.

L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]

Zhang, X.

Zhang, Y.

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

Zhao, Y.

Zheng, S.

Zhu, B.

Zimney, E. J.

Appl. Phys. Lett. (1)

B. Vasić, M. M. Jakovljević, G. Isić, and R. Gajić, “Tunable metamaterials based on split ring resonators and doped graphene,” Appl. Phys. Lett. 103(1), 011102 (2013).
[Crossref]

Carbon (1)

X. He, “Tunable terahertz graphene metamaterials,” Carbon 82, 229–237 (2015).
[Crossref]

Chin. Phys. B (1)

J. Appl. Phys. (1)

J. Electromagn. Waves Appl. (1)

J. Opt. Soc. Am. B (1)

D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, “Nature of the photonic band gap: some insights from a field analysis,” J. Opt. Soc. Am. B 10(2), 328–332 (1993).
[Crossref]

Nano Lett. (1)

Nature (5)

J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth, and S. Roth, “The structure of suspended graphene sheets,” Nature 446(7131), 60–63 (2007).
[Crossref] [PubMed]

L. Jiao, L. Zhang, X. Wang, G. Diankov, and H. Dai, “Narrow graphene nanoribbons from carbon nanotubes,” Nature 458(7240), 877–880 (2009).
[Crossref] [PubMed]

Opt. Commun. (3)

Y. Zhang, Z. Wu, Y. Cao, and H. Zhang, “Optical properties of one-dimensional Fibonacci quasi-periodic graphene photonic crystal,” Opt. Commun. 338, 168–173 (2015).
[Crossref]

A. W. Lima and A. S. B. Sombra, “Graphene-photonic crystal switch,” Opt. Commun. 321, 150–156 (2014).
[Crossref]

Opt. Express (3)

Opt. Lett. (2)

Optik (Stuttg.) (1)

Phys. B (1)

A. Madani and S. R. Entezar, “Optical properties of one-dimensional photonic crystals containing graphene sheets,” Phys. B 431(15), 1–5 (2013).
[Crossref]

Phys. E (1)

Phys. Lett. A (1)

J. Fu, W. Chen, and B. Lv, “Tunable defect mode realized by graphene-based photonic crystal,” Phys. Lett. A 380(20), 1793–1798 (2016).
[Crossref]

Phys. Plasmas (2)

L. Qi, L. Shang, and S. Zhang, “One-dimensional plasma photonic crystals with sinusoidal densities,” Phys. Plasmas 21(1), 013501 (2014).
[Crossref]

L. Qi, Z. Yang, F. Lan, X. Gao, and Z. Shi, “Properties of Obliquely Incident Electromagnetic Wave in 1D Magnetized Plasma Photonic crystals,” Phys. Plasmas 17(4), 042501 (2010).
[Crossref]

Phys. Rev. B (2)

L. Hu and S. T. Chui, “Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials,” Phys. Rev. B 66(8), 085108 (2002).
[Crossref]

Phys. Rev. Lett. (1)

A. Marini and F. J. García de Abajo, “Graphene-Based Active Random Metamaterials for Cavity-Free Lasing,” Phys. Rev. Lett. 116(21), 217401 (2016).
[Crossref] [PubMed]

Plasma Sci. Technol. (1)

B. Guo, “Transfer matrix for obliquely incident electromagnetic waves propagating in one dimension plasma photonic crystals,” Plasma Sci. Technol. 11(1), 18–22 (2009).
[Crossref]

Sci. Rep. (1)

Science (1)

D. Li and R. B. Kaner, “Materials science. Graphene-based materials,” Science 320(5880), 1170–1171 (2008).
[Crossref] [PubMed]

Other (2)

J. D. Cressler, Silicon Heterostructure Handbook: Materials, Fabrication, Devices, Circuits and Applications of SiGe and Si Strained-Layer Epitaxy (CRC Press 2006).

D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals-Molding the Flow of Light (Princeton University Press, 2008).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.

Click here to see a list of articles that cite this paper

Fig. 1 One-dimensional graphene photonic crystal with (a) Period, (b) Single-layer defect and (c) Dual-layer structure.

Download Full Size | PPT Slide | PDF

Fig. 2 Transmission and absorption curves of the period, single-defect and dual-defect structures in Fig. 1 with ε_A = 2.2, ε_B = 3.2, d_A = 100 μm, d_B = 150 μm, d_G = 0.34 nm, T = 300 K, Γ = 1 THz,

μ_{c}

= 0.9 eV.

Download Full Size | PPT Slide | PDF

Fig. 3 Transmission and absorption curves under different chemical potential

μ_{c}

= 0.5 and 0.9 eV for the dual-layer defect structure with ε_A = 2.2, ε_B = 3.2, d_A = 100 μm, d_B = 150 μm, d_G = 0.34 nm, T = 300 K, Γ = 1 THz.

Download Full Size | PPT Slide | PDF

Fig. 4 Color map of transmission and absorption under varying from 0.1 and 1.0 eV for the dual-layer defect structure with ε_A = 2.2, ε_B = 3.2, d_A = 100 μm, d_B = 150 μm, d_G = 0.34 nm, T = 300 K, Γ = 1 THz.

Download Full Size | PPT Slide | PDF

Fig. 5 (a) The real part (solid line) and the imaginary part (dot-dash line) of the tangential permittivity ε_G_, _t of single-layer graphene for different chemical potential

μ_{c}

= 0.1, 0.3, 0.5, 0.7 and 0.9 eV with d_G = 0.34 nm, T = 300 K and Γ = 1 THz. (b) The enlarged imaginary part valued from 0 to 500.

Download Full Size | PPT Slide | PDF

Fig. 6 Transmission versus location for the dual-defect layer structure with ε_A = 2.2, ε_B = 3.2, d_A = 100 μm, d_B = 150 μm, d_G = 0.34 nm, T = 300 K, Γ = 1 THz and.

μ_{c}

= 0.9 eV.

Download Full Size | PPT Slide | PDF

Fig. 7 Color map of the transmission versus the frequency and the incidence angle for (a) TM and (b) TE polarization, where ε_A = 2.2, ε_B = 3.2, d_A = 100 μm, d_B = 150 μm, d_G = 0.34 nm, T = 300 K, Γ = 1 THz, and.

μ_{c}

= 0.9 eV.

Download Full Size | PPT Slide | PDF

Fig. 8 Electromagnetic field distribution of TM polarization in 1D graphene and dielectric A.

Download Full Size | PPT Slide | PDF

Tables (1)

Table 1 Transmission (T), absorption (A) and refection (R) magnitude of the four peaks

View Table

Equations (28)

Equations on this page are rendered with MathJax. Learn more.

ε_{G} = [\begin{array}{l} ε_{G, t} 0 0 \\ 0 ε_{G, t} 0 \\ 0 0 ε_{G, ⊥} \end{array}] .

ε_{G, t} = 1 + j \frac{σ (ω)}{ε_{0} ω d_{G}} .

σ_{i n t r a} = - j \frac{e^{2} k_{B} T}{π ℏ^{2} (ω - j Γ)} (\frac{μ_{c}}{k_{B} T} + 2 \ln (e^{- \frac{μ_{c}}{k_{B} T}} + 1)) .

σ_{i n t r a} = - j \frac{e^{2} k_{B} T}{π ℏ^{2} (ω - j Γ)} (\frac{μ_{c}}{k_{B} T} + 2 \ln (e^{- \frac{μ_{c}}{k_{B} T}} + 1)) .

k_{x}^{2} + k_{z}^{2} = ε_{G, t} k_{0}^{2} (TE) .

\frac{k_{x}^{2}}{ε_{G, ⊥}} + \frac{k_{z}^{2}}{ε_{G, t}} = k_{0}^{2} .

M_{i} = (\begin{matrix} \cos k_{i z} d_{i} & - \frac{j}{p_{i}} \sin k_{i z} d_{i} \\ - j p_{i} \sin k_{i z} d_{i} & \cos k_{i z} d_{i} \end{matrix}) .

M = {(M_{G} M_{A})}^{N} = (\begin{array}{l} m_{11} m_{12} \\ m_{21} m_{22} \end{array}) .

M = {(M_{G} M_{A})}^{N_{1}} M_{G} M_{B} M_{A} {(M_{G} M_{A})}^{N_{3}} = (\begin{array}{l} m_{11} m_{12} \\ m_{21} m_{22} \end{array}) .

M = {(M_{G} M_{A})}^{N_{1}} M_{B} {(M_{G} M_{A})}^{N_{2}} M_{B} {(M_{G} M_{A})}^{N_{3}} = (\begin{array}{l} m_{11} m_{12} \\ m_{21} m_{22} \end{array}) .

R = {| r |}^{2} .

T = {\begin{cases} {| t |}^{2} For TE \\ \frac{p_{0}}{p_{N + 1}} {| t |}^{2} For TM \end{cases} .

A = 1 - T - R .

{\begin{cases} r = \frac{(m_{11} + m_{12} p_{N + 1}) p_{0} - m_{21} - m_{22} p_{N + 1}}{(m_{11} + m_{12} p_{N + 1}) p_{0} + m_{21} + m_{22} p_{N + 1}} \\ t = \frac{2 p_{0}}{(m_{11} + m_{12} p_{N + 1}) p_{0} + m_{21} + m_{22} p_{N + 1}} \end{cases} .

p_{0} = {\begin{cases} \sqrt{ε_{0} / μ_{0}} \cos θ_{0} For TE \\ \sqrt{ε_{0} / μ_{0}} / \cos θ_{0} For TM, \end{cases} p_{N + 1} = {\begin{cases} \sqrt{ε_{0} / μ_{0}} \cos θ_{N + 1} For TE \\ \sqrt{ε_{0} / μ_{0}} / \cos θ_{N + 1} For TM \end{cases}

ε_{G} = [\begin{array}{l} ε_{G, t} 0 0 \\ 0 ε_{G, t} 0 \\ 0 0 ε_{G, ⊥} \end{array}] .

\nabla \times E = - μ_{0} \frac{\partial H}{\partial t} .

\nabla \times H = ε_{0} ε_{G} \frac{\partial E}{\partial t} .

\frac{\partial E_{z}}{\partial x} - \frac{\partial E_{x}}{\partial z} = - j ω μ_{0} H_{y} .

\frac{\partial H_{y}}{\partial z} = j ω ε_{0} ε_{G, t} E_{x} .

\frac{\partial H_{y}}{\partial x} = - j ω ε_{0} ε_{G, ⊥} E_{z} .

\frac{1}{ε_{G, t}} \frac{\partial^{2} H_{y}}{\partial z^{2}} + \frac{1}{ε_{G, ⊥}} \frac{\partial^{2} H_{y}}{\partial x^{2}} + k_{0}^{2} H_{y} = 0.

\frac{k_{G x}^{2}}{ε_{G, ⊥}} + \frac{k_{G z}^{2}}{ε_{G, t}} = k_{0}^{2} .

H_{y}^{I} = (A_{+} e^{j k_{G z} z} + A_{-} e^{- j k_{G z} z}) e^{- j (ω t - k_{G x} x)} = H_{y t}^{I} + H_{y r}^{I I'} .

\begin{array}{l} E_{x}^{I} = E_{x t}^{I} + E_{x r}^{I I'} \\ H_{y}^{I} = H_{y t}^{I} + H_{y r}^{I I'} . \end{array}

\begin{array}{l} E_{x}^{I I} = E_{x i}^{I I} + E_{x r}^{I I} \\ H_{y}^{I I} = H_{y i}^{I I} + H_{y r}^{I I} . \end{array}

(\begin{array}{l} H_{y i}^{I I} \\ H_{y r}^{I I} \end{array}) = (\begin{array}{l} e^{j k_{G z} d_{G}} 0 \\ 0 e^{- j k_{G z} d_{G}} \end{array}) (\begin{array}{l} H_{y t}^{I} \\ H_{y r}^{II'} \end{array}) .

(\begin{array}{l} E_{x}^{I} \\ H_{y}^{I} \end{array}) = M (\begin{array}{l} E_{x}^{I I} \\ H_{y}^{I I} \end{array}) .

Frequency	T	A	R
f₁ = 5.869	0.593	0.256	0.151
f₂ = 5.980	0.529	0.331	0.140
f₃ = 6.940	0.627	0.178	0.195
f₄ = 7.050	0.664	0.183	0.153