Abstract

A metamaterial perfect absorber composed of a black phosphorus (BP) monolayer, a photonic crystal, and a metallic mirror is designed and investigated to enhance light absorption at terahertz frequencies. Numerical results reveal that the absorption is enhanced greatly with narrow spectra due to critical coupling, which is enabled by guided resonances. Intriguingly, the structure manifests the unusual polarization-dependent feature attributable to the anisotropy of black phosphorus. The quality factor of the absorber can be as high as 95.1 for one polarization while 63.5 for another polarization, which is consistent with the coupled wave theory. The absorption is tunable by varying key parameters, such as period, radius, slab thickness, incident angle, and polarization angle. Furthermore, the state of the system (i.e., critical coupling, over coupling, and under coupling) can be tuned by changing the electron doping of BP, thus achieving various applications. This work offers a paradigm to enhance the light-matter interaction in monolayer BP without plasmonic response, and this easy-to-fabricate structure will provide potential applications in BP-based devices.

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

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2019 (1)

Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
[Crossref]

2018 (11)

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
[Crossref]

I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
[Crossref]

T. J. Cui, “Microwave metamaterials,” Natl. Sci. Rev. 5(5), 134–136 (2018).
[Crossref]

H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
[Crossref]

J. Nong, W. Wei, W. Wang, G. Lan, Z. Shang, J. Yi, and L. Tang, “Strong coherent coupling between graphene surface plasmons and anisotropic black phosphorus localized surface plasmons,” Opt. Express 26(2), 1633–1644 (2018).
[Crossref] [PubMed]

X. Song, Z. Liu, Y. Xiang, and K. Aydin, “Biaxial hyperbolic metamaterials using anisotropic few-layer black phosphorus,” Opt. Express 26(5), 5469–5477 (2018).
[Crossref] [PubMed]

X. Wang, Q. Ma, L. Wu, J. Guo, S. Lu, X. Dai, and Y. Xiang, “Tunable terahertz/infrared coherent perfect absorption in a monolayer black phosphorus,” Opt. Express 26(5), 5488–5496 (2018).
[Crossref] [PubMed]

Q. Hong, F. Xiong, W. Xu, Z. Zhu, K. Liu, X. Yuan, J. Zhang, and S. Qin, “Towards high performance hybrid two-dimensional material plasmonic devices: strong and highly anisotropic plasmonic resonances in nanostructured graphene-black phosphorus bilayer,” Opt. Express 26(17), 22528–22535 (2018).
[Crossref] [PubMed]

Y. Jiang, H. D. Zhang, J. Wang, C. N. Gao, J. Wang, and W. P. Cao, “Design and performance of a terahertz absorber based on patterned graphene,” Opt. Lett. 43(17), 4296–4299 (2018).
[Crossref] [PubMed]

Y. Jiang, W. Chen, and J. Wang, “Broadband MoS2-based absorber investigated by a generalized interference theory,” Opt. Express 26(19), 24403–24412 (2018).
[Crossref]

Y. M. Qing, H. F. Ma, and T. J. Cui, “Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system,” Opt. Lett. 43(20), 4985–4988 (2018).
[Crossref] [PubMed]

2017 (8)

T. J. Cui, “Microwave metamaterials - From passive to digital and programmable controls of electromagnetic waves,” J. Opt. 19(8), 084004 (2017).
[Crossref]

Y. Long, H. Deng, H. Xu, L. Shen, W. Guo, C. Liu, W. Huang, W. Peng, L. Li, H. Lin, and C. Guo, “Magnetic coupling metasurface for achieving broad-band and broad-angular absorption in the MoS2 monolayer,” Opt. Mater. Express 7(1), 100–110 (2017).
[Crossref]

J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus metamaterials,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref] [PubMed]

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref] [PubMed]

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref] [PubMed]

H. Lu, X. Gan, D. Mao, Y. Fan, D. Yang, and J. Zhao, “Nearly perfect absorption of light in monolayer molybdenum disulfide supported by multilayer structures,” Opt. Express 25(18), 21630–21636 (2017).
[Crossref] [PubMed]

J. Wang, Y. Jiang, and Z. Hu, “Dual-band and polarization-independent infrared absorber based on two-dimensional black phosphorus metamaterials,” Opt. Express 25(18), 22149–22157 (2017).
[Crossref] [PubMed]

H. Li, M. Qin, L. Wang, X. Zhai, R. Ren, and J. Hu, “Total absorption of light in monolayer transition-metal dichalcogenides by critical coupling,” Opt. Express 25(25), 31612–31621 (2017).
[Crossref] [PubMed]

2016 (6)

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
[Crossref] [PubMed]

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

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]

T. J. Cui, S. Liu, and L. L. Li, “Information entropy of coding metasurface,” Light. Sci. Appl. 5(11), e16172 (2016).
[Crossref] [PubMed]

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

2015 (2)

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
[Crossref]

C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

2014 (4)

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458 (2014).
[Crossref] [PubMed]

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]

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photon. 1(4), 347–353 (2014).
[Crossref]

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

2013 (1)

Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
[Crossref] [PubMed]

2012 (2)

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
[Crossref]

X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
[Crossref] [PubMed]

2011 (3)

A. Vakil and N. Engheta, “Transformation optics using graphene,” Science 332(6035), 1291–1294 (2011).
[Crossref] [PubMed]

J. Hao, L. Zhou, and M. Qiu, “Nearly total absorption of light and heat generation by plasmonic metamaterials,” Phys. Rev. B 83(16), 165107 (2011).
[Crossref]

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

2010 (2)

2008 (1)

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

2005 (1)

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71(3), 036617 (2005).
[Crossref]

2003 (1)

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

2000 (1)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

Ajayan, P. M.

Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
[Crossref] [PubMed]

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]

Aydin, K.

X. Song, Z. Liu, Y. Xiang, and K. Aydin, “Biaxial hyperbolic metamaterials using anisotropic few-layer black phosphorus,” Opt. Express 26(5), 5469–5477 (2018).
[Crossref] [PubMed]

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

Bao, D.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

Bao, L.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
[Crossref] [PubMed]

Bolotin, K. I.

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
[Crossref]

Briggs, D. P.

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
[Crossref]

Cai, B.

Cao, W. P.

Chen, W.

Chen, X.

Cheng, Q.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

Cui, T. J.

Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
[Crossref]

Y. M. Qing, H. F. Ma, and T. J. Cui, “Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system,” Opt. Lett. 43(20), 4985–4988 (2018).
[Crossref] [PubMed]

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T. J. Cui, S. Liu, and L. L. Li, “Information entropy of coding metasurface,” Light. Sci. Appl. 5(11), e16172 (2016).
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X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
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H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun. 1, 21 (2010).
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C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
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X. Wang, Q. Ma, L. Wu, J. Guo, S. Lu, X. Dai, and Y. Xiang, “Tunable terahertz/infrared coherent perfect absorption in a monolayer black phosphorus,” Opt. Express 26(5), 5488–5496 (2018).
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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Gao, H.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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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).
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Guo, J.

X. Wang, Q. Ma, L. Wu, J. Guo, S. Lu, X. Dai, and Y. Xiang, “Tunable terahertz/infrared coherent perfect absorption in a monolayer black phosphorus,” Opt. Express 26(5), 5488–5496 (2018).
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Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4, 5483 (2014).
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Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
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S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
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X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
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Hong, Q.

Hu, J.

H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
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H. Li, M. Qin, L. Wang, X. Zhai, R. Ren, and J. Hu, “Total absorption of light in monolayer transition-metal dichalcogenides by critical coupling,” Opt. Express 25(25), 31612–31621 (2017).
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Huang, J. H.

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
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Jing Li, X.

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
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X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
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I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
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W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
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W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
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I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
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H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
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H. Li, M. Qin, L. Wang, X. Zhai, R. Ren, and J. Hu, “Total absorption of light in monolayer transition-metal dichalcogenides by critical coupling,” Opt. Express 25(25), 31612–31621 (2017).
[Crossref] [PubMed]

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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
[Crossref] [PubMed]

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
[Crossref]

Li, L.

Li, L. L.

T. J. Cui, S. Liu, and L. L. Li, “Information entropy of coding metasurface,” Light. Sci. Appl. 5(11), e16172 (2016).
[Crossref] [PubMed]

Li, W.

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
[Crossref]

Li, X.

C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
[Crossref] [PubMed]

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Liu, C.

Liu, J. T.

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
[Crossref]

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Liu, N. H.

J. T. Liu, N. H. Liu, J. Li, X. Jing Li, and J. H. Huang, “Enhanced absorption of graphene with one-dimensional photonic crystal,” Appl. Phys. Lett. 101(5), 052104 (2012).
[Crossref]

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S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

T. J. Cui, S. Liu, and L. L. Li, “Information entropy of coding metasurface,” Light. Sci. Appl. 5(11), e16172 (2016).
[Crossref] [PubMed]

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

Liu, X.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
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X. Song, Z. Liu, Y. Xiang, and K. Aydin, “Biaxial hyperbolic metamaterials using anisotropic few-layer black phosphorus,” Opt. Express 26(5), 5469–5477 (2018).
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Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
[Crossref] [PubMed]

Long, Y.

Low, T.

I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
[Crossref]

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]

Lu, H.

Lu, S.

Lu, W.

Ma, H. F.

Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
[Crossref]

Y. M. Qing, H. F. Ma, and T. J. Cui, “Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system,” Opt. Lett. 43(20), 4985–4988 (2018).
[Crossref] [PubMed]

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

H. F. Ma and T. J. Cui, “Three-dimensional broadband ground-plane cloak made of metamaterials,” Nat. Commun. 1, 21 (2010).
[Crossref] [PubMed]

Ma, L.

Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
[Crossref] [PubMed]

Ma, Q.

Ma, R.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
[Crossref] [PubMed]

Ma, S.

C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

Mao, D.

Martin-Moreno, L.

I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
[Crossref]

Miao, Z.

C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

Mock, J. J.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Mohr, D. A.

I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
[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]

Ni, X.

Nong, J.

Noor, A.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

Nordlander, P.

Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
[Crossref] [PubMed]

Oh, S. H.

I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
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Ouyang, C.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

Padilla, W. J.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
[Crossref] [PubMed]

Pantelides, S. T.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Piper, J. R.

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[Crossref]

Qin, M.

H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
[Crossref]

H. Li, M. Qin, L. Wang, X. Zhai, R. Ren, and J. Hu, “Total absorption of light in monolayer transition-metal dichalcogenides by critical coupling,” Opt. Express 25(25), 31612–31621 (2017).
[Crossref] [PubMed]

Qin, S.

Qing, Y. M.

Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
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Y. M. Qing, H. F. Ma, and T. J. Cui, “Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system,” Opt. Lett. 43(20), 4985–4988 (2018).
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J. Hao, L. Zhou, and M. Qiu, “Nearly total absorption of light and heat generation by plasmonic metamaterials,” Phys. Rev. B 83(16), 165107 (2011).
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C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
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Ren, R.

Ren, Y.

H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
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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).
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Ruan, B.

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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Schrimpf, R. D.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Smith, D. R.

N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett. 100(20), 207402 (2008).
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R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
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Soukoulis, C. M.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71(3), 036617 (2005).
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X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
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Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4, 5483 (2014).
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Tang, W. X.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E 71(3), 036617 (2005).
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S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Wang, H.

F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458 (2014).
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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).
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Wang, J.

Wang, L.

Wang, Q.

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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Wei, W.

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, 5483 (2014).
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L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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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).
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F. Xia, H. Wang, and Y. Jia, “Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics,” Nat. Commun. 5, 4458 (2014).
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L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4, 5483 (2014).
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C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
[Crossref] [PubMed]

Xiong, F.

Xu, H.

Xu, Q.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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Xu, W.

Yang, D.

Yang, H.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
[Crossref] [PubMed]

Yang, Q. L.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
[Crossref]

Yi, J.

Yoon, J.

You, Q.

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
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Yuan, H.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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Yuan, X.

Zhai, X.

Zhang, G.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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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, 5483 (2014).
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Zhang, H. D.

Zhang, J.

Zhang, L.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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Zhang, Q.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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Zhang, W.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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Zhang, W. L.

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
[Crossref]

Zhang, Y. Y.

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Zhao, J.

Zhou, L.

C. Qu, S. Ma, J. Hao, M. Qiu, X. Li, S. Xiao, Z. Miao, N. Dai, Q. He, S. Sun, and L. Zhou, “Tailor the functionalities of metasurfaces based on a complete phase diagram,” Phys. Rev. Lett. 115(23), 235503 (2015).
[Crossref] [PubMed]

X. Li, S. Xiao, B. Cai, Q. He, T. J. Cui, and L. Zhou, “Flat metasurfaces to focus electromagnetic waves in reflection geometry,” Opt. Lett. 37(23), 4940–4942 (2012).
[Crossref] [PubMed]

J. Hao, L. Zhou, and M. Qiu, “Nearly total absorption of light and heat generation by plasmonic metamaterials,” Phys. Rev. B 83(16), 165107 (2011).
[Crossref]

Zhou, X. Y.

S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
[Crossref] [PubMed]

Zhu, J.

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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ACS Nano (1)

Z. Fang, S. Thongrattanasiri, A. Schlather, Z. Liu, L. Ma, Y. Wang, P. M. Ajayan, P. Nordlander, N. J. Halas, and F. J. García de Abajo, “Gated tunability and hybridization of localized plasmons in nanostructured graphene,” ACS Nano 7(3), 2388–2395 (2013).
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ACS Photon. (2)

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photon. 1(4), 347–353 (2014).
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I. H. Lee, L. Martin-Moreno, D. A. Mohr, K. Khaliji, T. Low, and S. H. Oh, “Anisotropic acoustic plasmons in black phosphorus,” ACS Photon. 5(6), 2208–2216 (2018).
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Adv. Opt. Mater. (1)

S. Liu, L. Zhang, Q. L. Yang, Q. Xu, Y. Yang, A. Noor, Q. Zhang, S. Iqbal, X. Wan, Z. Tian, W. X. Tang, Q. Cheng, J. G. Han, W. L. Zhang, and T. J. Cui, “Frequency-dependent dual-functional coding metasurfaces at terahertz frequencies,” Adv. Opt. Mater. 4(12), 1965–1973 (2016).
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Adv. Opt. Photonics (1)

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
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Appl. Phys. Lett. (2)

W. Wang, A. Klots, Y. Yang, W. Li, I. I. Kravchenko, D. P. Briggs, K. I. Bolotin, and J. Valentine, “Enhanced absorption in two-dimensional materials via Fano-resonant photonic crystals,” Appl. Phys. Lett. 106(18), 181104 (2015).
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J. Light. Technol. (1)

H. Li, Y. Ren, J. Hu, M. Qin, and L. Wang, “Wavelength-selective wide-angle light absorption enhancement in monolayers of transition-metal dichalcogenides,” J. Light. Technol. 36(16), 3236–3241 (2018).
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J. Opt. (1)

T. J. Cui, “Microwave metamaterials - From passive to digital and programmable controls of electromagnetic waves,” J. Opt. 19(8), 084004 (2017).
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J. Opt. Soc. Am. A (1)

J. Phys. Chem. C (1)

L. Wu, Q. Wang, B. Ruan, J. Zhu, Q. You, X. Dai, and Y. Xiang, “High-performance lossy-mode resonance sensor based on few-layer black phosphorus,” J. Phys. Chem. C 122(13), 7368–7373 (2018).
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J. Phys. D: Appl. Phys. (1)

Y. M. Qing, H. F. Ma, S. Yu, and T. J. Cui, “Tunable dual-band perfect metamaterial absorber based on a graphene-SiC hybrid system by multiple resonance modes,” J. Phys. D: Appl. Phys. 52(1), 015104 (2019).
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Light. Sci. Appl. (2)

T. J. Cui, S. Liu, and L. L. Li, “Information entropy of coding metasurface,” Light. Sci. Appl. 5(11), e16172 (2016).
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S. Liu, T. J. Cui, Q. Xu, D. Bao, L. Du, X. Wan, W. X. Tang, C. Ouyang, X. Y. Zhou, H. Yuan, H. F. Ma, W. X. Jiang, J. Han, W. Zhang, and Q. Cheng, “Anisotropic coding metamaterials and their powerful manipulation of differently polarized terahertz waves,” Light. Sci. Appl. 5(5), e16076 (2016).
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Nano Lett. (2)

G. Wang, L. Bao, T. Pei, R. Ma, Y. Y. Zhang, L. Sun, G. Zhang, H. Yang, J. Li, C. Gu, S. Du, S. T. Pantelides, R. D. Schrimpf, and H. Gao, “Introduction of interfacial charges to black phosphorus for a family of planar devices,” Nano Lett. 16(11), 6870–6878 (2016).
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Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
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Figures (5)

Fig. 1
Fig. 1 (a) Schematic of the proposed structure. (b) Schematic of monolayer BP. (c) The single port resonator model in coupled mode theory. Frequency dependent surface conductivity along (d) the x-direction and (e) the y-direction. Solid lines and dashed lines denote the real part and imaginary part, respectively.
Fig. 2
Fig. 2 Simulation results and CMT calculated results of absorption spectrum for (a) TE-polarized wave and (b) TM-polarized wave at normal incidence. Inset (i) shows the reflection phase of the absorber, and inset (ii) shows the effective impedance of the perfect absorption peak. Magnetic field |Hz|2 distributions of the guided resonance (c) in the xy plane and (d) in the xz plane at the resonance frequency of f = 4.31 THz for TE-polarized wave. The boundaries are indicated by the white lines.
Fig. 3
Fig. 3 Absorption response for the proposed absorber at different structural parameters under vertical illumination with TE-polarization: (a) h is allowed to change; (b) R is allowed to change; (c) P is allowed to change; (d) the filled medium with different refractive index is allowed to change. Except as indicated, the geometric parameters are fixed to the default values.
Fig. 4
Fig. 4 (a) and (b) depict the absorption with various incident angles from 0° to 60° for TE and TM polarizations. (c) Absorption spectra for different polarization angles. Except as indicated, the geometric parameters are fixed to the default values.
Fig. 5
Fig. 5 (a) FDTD simulated and CMT fitted absorption spectra at ns = 1 × 1013 cm−2 (red), 3 × 1013 cm−2 (blue), and 5 × 1013 cm−2 (green) under TE-polarized wave. (b) FDTD simulated and CMT fitted absorption spectra at ns = 0.5 × 1013 cm−2 (red), 1.3 × 1013 cm−2 (blue), and 3 × 1013 cm−2 (green) under TM-polarized wave. The insets show the reflection phase of the absorber.

Equations (5)

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

d a d t = ( j ω 0 δ γ ) a + 2 γ S +
S = S + + 2 γ a
r = S S + = j ( ω ω 0 ) + δ γ j ( ω ω 0 ) + δ + γ
A = 1 | r | 2 = 4 δ γ ( ω ω 0 ) 2 + ( δ + γ ) 2
Z = ( 1 + S 11 ) 2 S 21 2 ( 1 S 11 ) 2 S 21 2

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