Abstract

Black phosphorus (BP), a promising new two-dimensional (2D) material, has drawn a lot of attentions in academia and industry due to its extraordinary physical and chemical properties. In this paper, we theoretically demonstrate a monolayer BP that achieves coherent perfect absorption (CPA) at the THz/infrared band. It is found that quasi-CPA point does exist at the THz/infrared band. The CPA, which has a relative bandwidth of 141.3% and a coherent absorptivity of more than 90%, can be implemented at the quasi-CPA wavelength through a proper phase modulation. Moreover, the coherent absorptivity can be modulated with a high modulation depth by means of the phase difference between the two coherent counter-propagating beams. The angular selectivity of the monolayer BP is also investigated. The CPA wavelength is divided into two wavelength branches for TE and TM polarization at oblique incidence. In addition, the CPA wavelength can be tuned from THz to infrared band by adjusting the electron doping of the BP while maintaining the modulation depth of 104. Hence, our results may be potentially used for coherent modulations in terahertz/infrared detections and signal processing with 2D materials.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

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[Crossref]

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[Crossref]

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[Crossref]

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

2016 (7)

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

V. A. Margulis, E. E. Muryumin, and E. A. Gaiduk, “Optical reflection, transmission and absorption properties of single-layer black phosphorus from a model calculation,” J. Opt. 18(5), 055102 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

Z. P. Sun, A. Martinez, and F. Wang, “Optical modulators with 2D layered materials,” Nat. Photonics 10(4), 227–238 (2016).
[Crossref]

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

2015 (3)

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

X. Hu and J. Wang, “High-speed gate-tunable terahertz coherent perfect absorption using a split-ring graphene,” Opt. Lett. 40(23), 5538–5541 (2015).
[Crossref] [PubMed]

2014 (7)

2013 (3)

2012 (3)

2011 (2)

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83(5), 055804 (2011).
[Crossref]

2010 (2)

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105(5), 053901 (2010).
[Crossref] [PubMed]

F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, “Graphene photonics and optoelectronics,” Nat. Photonics 4(9), 611–622 (2010).
[Crossref]

Agarwal, G. S.

Avouris, P.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Aydin, K.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

Bonaccorso, F.

F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, “Graphene photonics and optoelectronics,” Nat. Photonics 4(9), 611–622 (2010).
[Crossref]

Bruck, R.

Cao, H.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105(5), 053901 (2010).
[Crossref] [PubMed]

Chandra, B.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Chong, Y.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Chong, Y. D.

Dai, X.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Dai, X. Y.

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

X. Wang, X. Jing, Q. You, J. Guo, X. Y. Dai, and Y. J. Xing, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536–542 (2017).
[Crossref]

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

de Sterke, C. M.

Dutta Gupta, S.

Dutta-Gupta, S.

Faccio, D.

Fan, D. Y.

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

Fan, Y.

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Y. Fan, F. Zhang, Q. Zhao, Z. Wei, and H. Li, “Tunable terahertz coherent perfect absorption in a monolayer graphene,” Opt. Lett. 39(21), 6269–6272 (2014).
[Crossref] [PubMed]

Fan, Y. C.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Feng, Q.

Ferrari, A. C.

F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, “Graphene photonics and optoelectronics,” Nat. Photonics 4(9), 611–622 (2010).
[Crossref]

Freitag, M.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Fu, Q.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Fu, Q. H.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Gaiduk, E. A.

V. A. Margulis, E. E. Muryumin, and E. A. Gaiduk, “Optical reflection, transmission and absorption properties of single-layer black phosphorus from a model calculation,” J. Opt. 18(5), 055102 (2016).
[Crossref]

Ge, L.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105(5), 053901 (2010).
[Crossref] [PubMed]

Geng, J. P.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

Gómez Rivas, J.

G. Pirruccio, L. Martín Moreno, G. Lozano, and J. Gómez Rivas, “Coherent and broadband enhanced optical absorption in graphene,” ACS Nano 7(6), 4810–4817 (2013).
[Crossref] [PubMed]

Gu, C.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Guinea, F.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Guo, C.

Guo, J.

X. Wang, X. Jing, Q. You, J. Guo, X. Y. Dai, and Y. J. Xing, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536–542 (2017).
[Crossref]

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Gutman, N.

Hasan, T.

Heitz, J. J.

Howe, R. C. T.

Hu, C.

Hu, G.

Hu, X.

Huang, C.

Jiang, L. Y.

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Jin, R. H.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

Jing, X.

Kang, M.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

Kelleher, E. J. R.

Koschny, T.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Li, H.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Y. Fan, F. Zhang, Q. Zhao, Z. Wei, and H. Li, “Tunable terahertz coherent perfect absorption in a monolayer graphene,” Opt. Lett. 39(21), 6269–6272 (2014).
[Crossref] [PubMed]

Li, H. Q.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Li, J.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Li, X.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Liang, X. L.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

Liu, K.

Liu, Z.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Longhi, S.

S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83(5), 055804 (2011).
[Crossref]

Low, T.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Lozano, G.

G. Pirruccio, L. Martín Moreno, G. Lozano, and J. Gómez Rivas, “Coherent and broadband enhanced optical absorption in graphene,” ACS Nano 7(6), 4810–4817 (2013).
[Crossref] [PubMed]

Lu, S. B.

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

Luo, X.

Ma, X.

Margulis, V. A.

V. A. Margulis, E. E. Muryumin, and E. A. Gaiduk, “Optical reflection, transmission and absorption properties of single-layer black phosphorus from a model calculation,” J. Opt. 18(5), 055102 (2016).
[Crossref]

Martin, O. J. F.

Martín Moreno, L.

G. Pirruccio, L. Martín Moreno, G. Lozano, and J. Gómez Rivas, “Coherent and broadband enhanced optical absorption in graphene,” ACS Nano 7(6), 4810–4817 (2013).
[Crossref] [PubMed]

Martinez, A.

Z. P. Sun, A. Martinez, and F. Wang, “Optical modulators with 2D layered materials,” Nat. Photonics 10(4), 227–238 (2016).
[Crossref]

Moreno, L. M.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Muryumin, E. E.

V. A. Margulis, E. E. Muryumin, and E. A. Gaiduk, “Optical reflection, transmission and absorption properties of single-layer black phosphorus from a model calculation,” J. Opt. 18(5), 055102 (2016).
[Crossref]

Muskens, O. L.

Nie, G.

G. Nie, Q. Shi, Z. Zhu, and J. Shi, “Selective coherent perfect absorption in metamaterials,” Appl. Phys. Lett. 105(20), 201909 (2014).
[Crossref]

Noh, H.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Pirruccio, G.

G. Pirruccio, L. Martín Moreno, G. Lozano, and J. Gómez Rivas, “Coherent and broadband enhanced optical absorption in graphene,” ACS Nano 7(6), 4810–4817 (2013).
[Crossref] [PubMed]

Popov, S. V.

Premaratne, M.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

Pu, M.

Qin, S.

Qin, S. Q.

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

Rao, S. M.

Roger, T.

Roldán, R.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Shen, N. H.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Shen, N.-H.

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Shi, J.

G. Nie, Q. Shi, Z. Zhu, and J. Shi, “Selective coherent perfect absorption in metamaterials,” Appl. Phys. Lett. 105(20), 201909 (2014).
[Crossref]

Shi, Q.

G. Nie, Q. Shi, Z. Zhu, and J. Shi, “Selective coherent perfect absorption in metamaterials,” Appl. Phys. Lett. 105(20), 201909 (2014).
[Crossref]

Sikdar, D.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

Soukouilis, M.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Soukoulis, C. M.

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Stone, A. D.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105(5), 053901 (2010).
[Crossref] [PubMed]

Sukhorukov, A. A.

Sun, Z.

F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, “Graphene photonics and optoelectronics,” Nat. Photonics 4(9), 611–622 (2010).
[Crossref]

Sun, Z. P.

Z. P. Sun, A. Martinez, and F. Wang, “Optical modulators with 2D layered materials,” Nat. Photonics 10(4), 227–238 (2016).
[Crossref]

Tang, D.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Taylor, J. R.

Torrisi, F.

Tulevski, G.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Wan, W.

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Wang, C.

Wang, F.

Z. P. Sun, A. Martinez, and F. Wang, “Optical modulators with 2D layered materials,” Nat. Photonics 10(4), 227–238 (2016).
[Crossref]

Wang, H.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Wang, H. L.

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Wang, J.

Wang, M.

Wang, Q. K.

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

Wang, X.

Wei, Z.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Y. Fan, F. Zhang, Q. Zhao, Z. Wei, and H. Li, “Tunable terahertz coherent perfect absorption in a monolayer graphene,” Opt. Lett. 39(21), 6269–6272 (2014).
[Crossref] [PubMed]

Wei, Z. Y.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Wen, S.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Wen, S. C.

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Westerberg, N.

Woodward, R. I.

Wu, J. P.

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Wu, L. M.

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

Wu, Y.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Xia, F.

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Xiang, Y.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Xiang, Y. J.

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Xiao, F. J.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

Xing, Y. J.

Xiong, F.

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

Yan, H.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Ye, W.

You, Q.

Yuan, X.

Yuan, X. D.

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

Zhang, F.

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Y. Fan, F. Zhang, Q. Zhao, Z. Wei, and H. Li, “Tunable terahertz coherent perfect absorption in a monolayer graphene,” Opt. Lett. 39(21), 6269–6272 (2014).
[Crossref] [PubMed]

Zhang, F. L.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Zhang, H.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Zhang, J.

Zhang, J. F.

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

Zhang, P.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Zhao, Q.

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Y. Fan, F. Zhang, Q. Zhao, Z. Wei, and H. Li, “Tunable terahertz coherent perfect absorption in a monolayer graphene,” Opt. Lett. 39(21), 6269–6272 (2014).
[Crossref] [PubMed]

Zhao, Z.

Zhu, W.

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Zhu, W. R.

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

Zhu, Z.

Zhu, Z. H.

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

ACS Nano (1)

G. Pirruccio, L. Martín Moreno, G. Lozano, and J. Gómez Rivas, “Coherent and broadband enhanced optical absorption in graphene,” ACS Nano 7(6), 4810–4817 (2013).
[Crossref] [PubMed]

ACS Photonics (1)

Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, “Tunable terahertz meta-surface with graphene cut-wires,” ACS Photonics 2(1), 151–156 (2015).
[Crossref]

Adv. Opt. Mater. (1)

Y. C. Fan, N. H. Shen, F. L. Zhang, Z. Y. Wei, H. Q. Li, Q. Zhao, Q. H. Fu, P. Zhang, T. Koschny, and M. Soukouilis, “Electrically tunable goos–hänchen effect with graphene in the terahertz regime,” Adv. Opt. Mater. 4(11), 1824–1828 (2016).
[Crossref]

AIP Adv. (1)

J. Guo, L. M. Wu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

Appl. Phys. Lett. (2)

W. R. Zhu, F. J. Xiao, M. Kang, and M. Premaratne, “Coherent perfect absorption in an all-dielectric metassurface,” Appl. Phys. Lett. 108(12), 121901 (2016).
[Crossref]

G. Nie, Q. Shi, Z. Zhu, and J. Shi, “Selective coherent perfect absorption in metamaterials,” Appl. Phys. Lett. 105(20), 201909 (2014).
[Crossref]

IEEE Photonics J. (1)

W. R. Zhu, F. J. Xiao, M. Kang, D. Sikdar, X. L. Liang, J. P. Geng, M. Premaratne, and R. H. Jin, “MoS2 broadband coherent perfect absorber for terahertz waves,” IEEE Photonics J. 8(6), 5502207 (2016).
[Crossref]

J. Appl. Phys. (1)

J. P. Wu, H. L. Wang, L. Y. Jiang, J. Guo, X. Y. Dai, Y. J. Xiang, and S. C. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Opt. (2)

V. A. Margulis, E. E. Muryumin, and E. A. Gaiduk, “Optical reflection, transmission and absorption properties of single-layer black phosphorus from a model calculation,” J. Opt. 18(5), 055102 (2016).
[Crossref]

F. Xiong, J. F. Zhang, Z. H. Zhu, X. D. Yuan, and S. Q. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

Nano Lett. (1)

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref] [PubMed]

Nat. Nanotechnol. (1)

H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, “Tunable infrared plasmonic devices using graphene/insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref] [PubMed]

Nat. Photonics (2)

Z. P. Sun, A. Martinez, and F. Wang, “Optical modulators with 2D layered materials,” Nat. Photonics 10(4), 227–238 (2016).
[Crossref]

F. Bonaccorso, Z. Sun, T. Hasan, and A. C. Ferrari, “Graphene photonics and optoelectronics,” Nat. Photonics 4(9), 611–622 (2010).
[Crossref]

Opt. Express (5)

Opt. Lett. (4)

Photon. Res. (1)

Phys. Rev. A (1)

S. Longhi, “Coherent perfect absorption in a homogeneously broadened two-level medium,” Phys. Rev. A 83(5), 055804 (2011).
[Crossref]

Phys. Rev. Lett. (2)

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref] [PubMed]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, “Coherent perfect absorbers: time-reversed lasers,” Phys. Rev. Lett. 105(5), 053901 (2010).
[Crossref] [PubMed]

Plasmonics (1)

L. Y. Jiang, J. Guo, Q. K. Wang, X. Y. Dai, and Y. J. Xiang, “Perfect terahertz absorption with graphene surface plasmons in the modified Otto configuration,” Plasmonics 12(6), 1825–1831 (2017).
[Crossref]

Sci. Rep. (2)

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Y. Fan, Z. Liu, F. Zhang, Q. Zhao, Z. Wei, Q. Fu, J. Li, C. Gu, and H. Li, “Tunable mid-infrared coherent perfect absorption in a graphene meta-surface,” Sci. Rep. 5(1), 13956 (2015).
[Crossref] [PubMed]

Science (1)

W. Wan, Y. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, “Time-reversed lasing and interferometric control of absorption,” Science 331(6019), 889–892 (2011).
[Crossref] [PubMed]

Sens. Actuators B Chem. (1)

L. M. Wu, J. Guo, Q. K. Wang, S. B. Lu, X. Y. Dai, Y. J. Xiang, and D. Y. Fan, “Sensitivity enhancement by using few-layer blackphosphorus-graphene/TMDCs heterostructure in surface plasmonresonance biochemical sensor,” Sens. Actuators B Chem. 249, 542–548 (2017).
[Crossref]

Other (1)

K. Khaliji, A. Fallahi, L. Martin-Moreno and T. Low, “Tunable plasmon-enhanced birefringence in ribbon array of anisotropic two-dimensional materials,” Phys. Rev. B 95(20), 201401(R) (2017).
[Crossref]

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Figures (5)

Fig. 1
Fig. 1 Schematic of a monolayer BP illustrated by two counter-propagating beams, I+ and I- are the coherent input light, O+ and O- are the corresponding output beams, the thickness of monolayer BP is chosen as 1nm.
Fig. 2
Fig. 2 (a) The reflection and transmission spectra for the electric vector ( E )along x (solid line) and y (dash dot line) direction under normal incidence, respectively. The electron doping of monolayer BP is n = 4*1013cm−2; (b) the coherent absorption of monolayer BP at the quasi-CPA wavelength with the phase difference of two coherent input beams modulated and not modulated, respectively.
Fig. 3
Fig. 3 (a) The normalized coherent absorption as a function of wavelength and phase difference, and the maximal coherent absorption is at the wavelength of 39μm with 1.402π phase difference of two incident beams; (b) coherent absorption as a function of phase difference at 39μm.
Fig. 4
Fig. 4 (a) The wavelength dispersion at oblique incidence for TE polarization and TM polarization and (b) the corresponding maximal coherent absorptivity, the charge-carrier density is 4*1013cm−2 and the phase difference is ∆φ = 1.402π.
Fig. 5
Fig. 5 (a) The manipulation of coherent perfect absorption at normal incidence via changing the electron doping and (b) the corresponding modulation depth at different electron doping.

Equations (7)

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( O + O )= S g ( I + I )=( t + r r + t )( A e i φ + B e i φ ),
| O + |=| O |=| tI e i φ + +rI e i φ |.
| r |=| t |.
σ jj = i D j π( ω+ iη ) , D j = π e 2 n m j ,
m cx = 2 2 γ 2 Δ + η c , m cy = 2 2 ν c .
r = σ jj η 0 2+ σ jj η 0 ,
t = 2 2+ σ jj η 0 ,

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