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Large enhancement of the effective second-order nonlinearity in graphene metasurfaces

Qun Ren, J. W. You, and N. C. Panoiu

  • Department of Electronic and Electrical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom

Phys. Rev. B 99, 205404 – Published 6 May, 2019

DOI: https://doi.org/10.1103/PhysRevB.99.205404

Abstract

Using a powerful homogenization technique, one- and two-dimensional graphene metasurfaces are homogenized both at the fundamental frequency (FF) and second harmonic (SH). In both cases, there is excellent agreement between the predictions of the homogenization method and those based on rigorous numerical solutions of Maxwell equations. The homogenization technique is then employed to demonstrate that, owing to a double-resonant plasmon excitation mechanism that leads to strong, simultaneous field enhancement at the FF and SH, the effective second-order susceptibility of graphene metasurfaces can be enhanced by more than three orders of magnitude as compared to the intrinsic second-order susceptibility of a graphene sheet placed on the same substrate. In addition, we explore the implications of our results on the development of new active nanodevices that incorporate nanopatterned graphene structures.

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References (51)

  1. A. Alu, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).
  2. T. Cao, C. W. Wei, R. E. Simpson, L. Zhang, and M. J. Cryan, Sci. Rep. 4, 3955 (2014).
  3. J. W. You and N. C. Panoiu, Opt. Express 26, 1882 (2018).
  4. M. Veysi, C. Guclu, O. Boyraz, and F. Capolino, J. Opt. Soc. Am. B 32, 318 (2015).
  5. G. Ren, Z. Lai, C. Wang, Q. Feng, L. Liu, K. Liu, and X. Luo, Opt. Express 18, 18151 (2010).
  6. C. Ma and Z. Liu, Opt. Express 18, 4838 (2010).
  7. I. Al-Naib, G. Sharma, M. M. Dignam, H. Hafez, A. Ibrahim, D. G. Cooke, T. Ozaki, and R. Morandotti, Phys. Rev. B 88, 195203 (2013).
  8. P. Ding, E. Liang, G. Cai, W. Hu, C. Fan, and Q. Xue, J. Opt. 13, 075005 (2011).
  9. J. Zhang, W. Liu, Z. Zhu, X. Yuan, and S. Qin, Opt. Express 22, 30889 (2014).
  10. B. Kante, A. de Lustrac, and J. M. Lourtioz, Phys. Rev. B 80, 035108 (2009).
  11. A. V. Kabashin, P. Evans, S. Pastkovsky, W. Hendren, G. A. Wurtz, R. Atkinson, and A. V. Zayats, Nat. Mater. 8, 867 (2009).
  12. K. V. Sreekanth, Y. Alapan, M. ElKabbash, E. Ilker, M. Hinczewski, U. A. Gurkan, and G. Strangi, Nat. Mater. 15, 621 (2016).
  13. C. Cao, J. Zhang, X. Wen, S. L. Dodson, N. T. Dao, L. M. Wong, and Q. Xiong, ACS Nano 7, 7583 (2013).
  14. N. Vasilantonakis, G. A. Wurtz, V. A. Podolskiy, and A. V. Zayats, Opt. Express 23, 14329 (2015).
  15. N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, Phys. Rev. Lett. 100, 207402 (2008).
  16. R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, Opt. Express 20, 28017 (2012).
  17. S. Song, Q. Chen, L. Jin, and F. Sun, Nanoscale 5, 9615 (2013).
  18. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
  19. D. Shin, Y. Urzhumov, Y. Jung, G. Kang, S. Baek, M. Choi, and D. R. Smith, Nat. Commun. 3, 1213 (2012).
  20. Z. Liu, S. Durant, H. Lee, Y. Pikus, Y. Xiong, C. Sun, and X. Zhang, Opt. Express 15, 6947 (2007).
  21. D. Korobkin, B. Neuner, C. Fietz, N. Jegenyes, G. Ferro, and G. Shvets, Opt. Express 18, 22734 (2010).
  22. S. Maslovski and S. Tretyakov, New J. Phys. 14, 035007 (2012).
  23. G. Rosenblatt and M. Orenstein, Phys. Rev. Lett. 115, 195504 (2015).
  24. J. S. Gomez-Diaz, M. Tymchenko, J. Lee, M. A. Belkin, and A. Alu, Phys. Rev. B 92, 125429 (2015).
  25. A. Rose and D. R. Smith, Opt. Mater. Express 1, 1232 (2011).
  26. C. Argyropoulos, G. D'Aguanno, and A. Alu, Phys. Rev. B 89, 235401 (2014).
  27. E. Almeida, G. Shalem, and Y. Prior, Nat. Commun. 7, 10367 (2016).
  28. G. Li, S. Zhang, and T. Zentgraf, Nat. Rev. Mater. 2, 17010 (2017).
  29. F. Qin, L. Ding, L. Zhang, F. Monticone, C. C. Chum, J. Deng, and S. Zhang, Sci. Adv. 2, e1501168 (2016).
  30. Y. Zhao and A. Alu, Phys. Rev. B 84, 205428 (2011).
  31. Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, Nat. Commun. 5, 5753 (2014).
  32. J. Sautter, I. Staude, M. Decker, E. Rusak, D. N. Neshev, I. Brener, and Y. S. Kivshar, ACS Nano 9, 4308 (2015).
  33. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, New York, 2007).
  34. A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, Phys. Rep. 408, 131 (2005).
  35. F. J. Garcia-Vidal, L. Martin-Moreno, T. W. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010).
  36. N. C. Panoiu, W. E. I. Sha, D. Y. Lei, and G. C. Li, J. Opt. 20, 083001 (2018).
  37. J. B. Khurgin, Nat. Nanotechnol. 10, 2 (2015).
  38. T. Christopoulos, O. Tsilipakos, N. Grivas, and E. E. Kriezis, Phys. Rev. E 94, 062219 (2016).
  39. T. Christopoulos, O. Tsilipakos, G. Sinatkas, and E. E. Kriezis, Phys. Rev. B 98, 235421 (2018).
  40. V. G. Ataloglou, T. Christopoulos, and E. E. Kriezis, Phys. Rev. A 97, 063836 (2018).
  41. F. H. Koppens, D. E. Chang, and F. J. Garcia de Abajo, Nano Lett. 11, 3370 (2011).
  42. S. H. Lee, M. Choi, T. T. Kim, S. Lee, M. Liu, X. Yin, and X. Zhang, Nat. Mater. 11, 936 (2012).
  43. J. W. You, S. R. Bongu, Q. Bao, and N. C. Panoiu, Nanophotonics 8, 63 (2019).
  44. J. W. You, J. You, M. Weismann, and N. C. Panoiu, Philos. Trans. R. Soc. London A 375, 20160313 (2017).
  45. Y. Q. An, J. E. Rowe, D. B. Dougherty, J. U. Lee, and A. C. Diebold, Phys. Rev. B 89, 115310 (2014).
  46. J. J. Dean and H. M. van Driel, Phys. Rev. B 82, 125411 (2010).
  47. J. W. You and N. C. Panoiu, arXiv:1904.11297.
  48. C. L. Holloway, E. F. Kuester, and A. Dienstfrey, IEEE Antenn. Wireless Propag. Lett. 10, 1507 (2011).
  49. O. Tsilipakos, T. Koschny, and C. M. Soukoulis, ACS Photon. 5, 1101 (2018).
  50. M. Weismann and N. C. Panoiu, Phys. Rev. B 94, 035435 (2016).
  51. J. W. You, E. Threlfall, D. F. Gallagher, and N. C. Panoiu, J. Opt. Soc. Am. B 35, 2754 (2018).

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