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Nonlinear optics with resonant metasurfaces

  • Metasurfaces for Flat Optics
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Abstract

The field of nonlinear optics is a well-established discipline that relies on macroscopic media and employs propagation distances longer than a wavelength of light. Recent progress with electromagnetic metamaterials has allowed for the expansion of this field into new directions of new phenomena and novel functionalities. In particular, nonlinear effects in thin, artificially structured materials such as metasurfaces do not rely on phase-matching conditions and symmetry-related selection rules of natural materials; they may be substantially enhanced by strong local and collective resonances of fields inside the metasurface nanostructures. Consequently, nonlinear processes may extend beyond simple harmonic generation and spectral broadening due to electronic nonlinearities. This article provides a brief review of basic concepts and recent results in the field of nonlinear optical metasurfaces.

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References

  1. I. Staude, T. Pertsch, Y.S. Kivshar, ACS Photonics 6, 802 (2019).

    Article  CAS  Google Scholar 

  2. L. Carletti, D. Rocco, A. Locatelli, C. De Angelis, V.F. Gili, M. Ravaro, I. Favero, G. Leo, M. Finazzi, L. Ghirardini, M. Celebrano, G. Marino, A.V. Zayats, J. Nano-technol. 28, 114005 (2017).

    Article  CAS  Google Scholar 

  3. A. Krasnok, M. Tymchenko, A. Alù, Mater. Today 21, 8 (2018).

    Article  CAS  Google Scholar 

  4. M. Rahmani, G. Leo, I. Brener, A.V. Zayats, S.A. Maier, C. De Angelis, H. Tan, V.F. Gili, F. Karouta, R. Oulton, K. Vora, M. Lysevych, I. Staude, L. Xu, A.E. Miroshnichenko, C. Jagadish, D.N. Neshev, Opto-Electron. Adv. 1, (10), 180021 (2018).

    Article  Google Scholar 

  5. B. Sain, C. Meier, T. Zentgraf, Adv. Photonics 1, 024002 (2019).

    Article  CAS  Google Scholar 

  6. C. Zou, J. Sautter, F. Setzpfandt, I. Staude, J. Phys. D Appl. Phys. 52, 373002 (2019).

    Article  CAS  Google Scholar 

  7. M.R. Shcherbakov, F. Eilenberger, I. Staude, J. Appl. Phys. 126, 085705 (2019).

    Article  CAS  Google Scholar 

  8. C. Gigli, G. Marino, A. Borne, P. Lalanne, G. Leo, Front. Phys. 7, 221 (2019).

    Article  Google Scholar 

  9. L. Wang, S. Kruk, K. Koshelev, I. Kravchenko, B. Luther-Davies, Y. Kivshar, Nano Lett. 18, 3978 (2018).

    Article  CAS  Google Scholar 

  10. K. Koshelev, Y. Tang, K. Li, D.-Y. Choi, G. Li, Y. Kivshar, ACS Photonics 6, 1639 (2019).

    Article  CAS  Google Scholar 

  11. S. Liu, P.P. Vabishchevich, A. Vaskin, J.L. Reno, G.A. Keeler, M.B. Sinclair, I. Staude, I. Brener, Nat. Commun. 9, 2507 (2018).

    Article  CAS  Google Scholar 

  12. C. Schlickriede, S. Kruk, L. Wang, B. Sain, Y. Kivshar, T. Zentgraf, “Nonlinear Dielectric Metalenses: Imaging and Higher-Order Correlations,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optical Society of America, Washington, DC, 2019), paper JTh5B.10.

  13. E. Almeida, O. Bitton, Y. Prior, Nat. Commun. 7, 12533 (2016).

    Article  CAS  Google Scholar 

  14. A.I. Kuznetsov, A.M. Miroshnichenko, M.L. Brongersma, Y.S. Kivshar, B. Lukyanchuk, Science 354, aag2472 (2016).

    Article  CAS  Google Scholar 

  15. I. Staude, J. Schilling, Nat. Photonics 11, 274 (2017).

    Article  CAS  Google Scholar 

  16. S. Kruk, Y.S. Kivshar, ACS Photonics 4, 2638 (2017).

    Article  CAS  Google Scholar 

  17. M.F. Limonov, M.V. Rybin, A.N. Poddubny, Y.S. Kivshar, Nat. Photonics 11, 543 (2017).

    Article  CAS  Google Scholar 

  18. B. Hopkins, A.N. Poddubny, A.E. Miroshnichenko, Y.S. Kivshar, Phys. Rev. A 88, 053819 (2013).

    Article  CAS  Google Scholar 

  19. S. Liu, M.R. Sinclair, T.S. Mahony, Y.C. Jun, S. Campione, J. Ginn, D.A. Bender, J. Wendt, J.F. Inglefeld, P.G. Clem, J.B. Wright, I. Brener, Optica 1, 250 (2014).

    Article  CAS  Google Scholar 

  20. S.S. Wang, R. Magnusson, J.S. Bagby, M.G. Moharam, J. Opt. Soc. Am. A 7, 1470 (1990).

    Article  Google Scholar 

  21. C.W. Hsu, B. Zhen, A.D. Stone, J.D. Joannopoulos, M. Soljacic, Nat. Rev. Mater. 1, 16048 (2016).

    Article  CAS  Google Scholar 

  22. A. Kodigala, T. Lepetit, Q. Gu, B. Bahari, Y. Fainman, B. Kante, Nature 541, 196 (2017).

    Article  CAS  Google Scholar 

  23. M. Rybin, Y.S. Kivshar, Nature 541, 165 (2017).

    Article  CAS  Google Scholar 

  24. K. Koshelev, S. Lepeshov, M. Liu, A. Bogdanov, Y.S. Kivshar, Phys. Rev. Lett. 121, 193903 (2018).

    Article  Google Scholar 

  25. S. Campione, S. Liu, L.I. Basilio, L.K. Warne, W.L. Langston, T.S. Luk, J.R. Wendt, J.L. Reno, G.A. Keeler, I. Brener, M.B. Sinclair, ACS Photonics 3, 2362 (2016).

    Article  CAS  Google Scholar 

  26. A. Tittl, A. Leitis, M. Liu, F. Yesilkoy, D.-Y. Choi, D.N. Neshev, Y.S. Kivshar, H. Altug, Science 360, 1105 (2018).

    Article  CAS  Google Scholar 

  27. L. Fonda, Ann. Phys. 22, 123 (1963).

    Article  Google Scholar 

  28. Z. Liu, Y. Xu, Y. Lin, J. Xiang, T. Feng, Q. Cao, J. Li, S. Lan, J. Liu, Phys. Rev. Lett. 123, 253901 (2019).

    Article  CAS  Google Scholar 

  29. A. Leitis, A. Tittl, M. Liu, B.H. Lee, M.B. Gu, Y.S. Kivshar, H. Altug, Sci. Adv. 5, eaaw2871 (2019).

    Article  CAS  Google Scholar 

  30. C. Cui, C. Zhou, S. Yuan, X. Qiu, L. Zhu, Y. Wang, Y. Li, J. Song, Q. Huang, Y. Wang, C. Zeng, J. Xia, ACS Photonics 5, 4074 (2018).

    Article  CAS  Google Scholar 

  31. M.W. Klein, C. Enkrich, M. Wegener, S. Linden, Science 313, 502 (2006).

    Article  CAS  Google Scholar 

  32. B. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, M. Kauranen, Nano Lett. 7, 1251 (2007).

    Article  CAS  Google Scholar 

  33. J. Zhang, K.F. MacDonald, N.I. Zheludev, Light Sci. Appl. 2, e96 (2013).

    Article  CAS  Google Scholar 

  34. L. Carletti, A. Locatelli, O. Stepanenko, G. Leo, C. De Angelis, Opt. Express 23, 26544 (2015).

    Article  CAS  Google Scholar 

  35. C.R. Ma, J.H. Yan, P. Liu, Y.M. Wei, G.W. Yang, J. Mater. Chem. C 4, 6063 (2016).

    Article  CAS  Google Scholar 

  36. V.F. Gili, L. Carletti, A. Locatelli, D. Rocco, M. Finazzi, L. Ghirardini, I. Favero, C. Gomez, A. Lemaître, M. Celebrano, C. De Angelis, G. Leo, Opt. Express 24, 15965 (2016).

    Article  CAS  Google Scholar 

  37. R. Camacho-Morales, M. Rahmani, S. Kruk, L. Wang, L. Xu, D.A. Smirnova, A. Solntsev, A.E. Miroshnichenko, H.H. Tan, F. Karouta, S. Naureen, K. Vora, L. Carletti, C. De Angelis, C. Jagadish, Y.S. Kivshar, D.N. Neshev, Nano Lett. 16, 7191 (2016).

    Article  CAS  Google Scholar 

  38. L. Ghirardini, L. Carletti, V. Gili, G. Pellegrini, L. Duo, M. Finazzi, D. Rocco, A. Locatelli, C. De Angelis, I. Favero, M. Ravaro, G. Leo, A. Lemaitre, M. Celebrano, Opt. Lett. 42, 559 (2017).

    Article  CAS  Google Scholar 

  39. M. Semmlinger, M.L. Tseng, J. Yang, M. Zhang, C. Zhang, W.-Y. Tsai, D.P. Tsai, P. Nordlander, N.J. Halas, Nano Lett. 18 (9), 5738 (2018).

    Article  CAS  Google Scholar 

  40. L. Carletti, G. Marino, L. Ghirardini, V. F Gili, D. Rocco, I. Favero, A. Locatelli, A.V. Zayats, M. Celebrano, M. Finazzi, G. Leo, C. De Angelis, D.N. Neshev, ACS Photonics 5, 4386 (2019).

    Article  CAS  Google Scholar 

  41. J. Sautter, L. Xu, A. E Miroshnichenko, M. Lysevych, I. Volkovskaya, D. A Smirnova, R. Camacho-Morales, K.Z. Kamali, F. Karouta, K. Vora, H.H. Tan, M. Kauranen, I. Staude, C. Jagadish, D. N Neshev, M. Rahmani, Nano Lett. 19, 3905 (2019).

    Article  CAS  Google Scholar 

  42. S. Liu, M.B. Sinclair, S. Saravi, G.A. Keeler, Y. Yang, J. Reno, G.M. Peake, F. Setzpfandt, I. Staude, T. Pertsch, I. Brener, Nano Lett. 16, 5426 (2016).

    Article  CAS  Google Scholar 

  43. P. P. Vabishchevich, S. Liu, M.B. Sinclair, G.A. Keeler, G.M. Peake, I. Brener, ACS Photonics 5, 1685 (2018).

    Article  CAS  Google Scholar 

  44. F.J. Löchner, A.N. Fedotova, S. Liu, G.A. Keeler, G.M. Peake, S. Saravi, M.R. Shcherbakov, S. Burger, A.A. Fedyanin, I. Brener, T. Pertsch, F. Setzpfandt, I. Staude, ACS Photonics 5, 1786 (2018).

    Article  CAS  Google Scholar 

  45. G. Marino, C. Gigli, D. Rocco, A. Lemaître, I. Favero, C. De Angelis, G. Leo, ACS Photonics 6, 1226 (2019).

    Article  CAS  Google Scholar 

  46. C. Gigli, G. Marino, S. Suffit, G. Patriarche, G. Beaudoin, K. Pantzas, I. Sagnes, I. Favero, G. Leo, J. Opt. Soc. Am. B 36, E55 (2019).

    Article  CAS  Google Scholar 

  47. K. Frizyuk, I. Volkovskaya, D. Smirnova, A. Poddubny, M. Petrov, Phys. Rev. B 99, 075425 (2019).

    Article  CAS  Google Scholar 

  48. D. Lehr, J. Reinhold, I. Thiele, H. Hartung, K. Dietrich, C. Menzel, T. Pertsch, E.-B. Kley, A. Tünnermann, Nano Lett. 15, 1025 (2015).

    Article  CAS  Google Scholar 

  49. C. Ma, J. Yan, Y. Wei, P. Liu, G. Yang, J. Mater. Chem. C 5, 4810 (2017).

    Article  CAS  Google Scholar 

  50. F. Timpu, N.R. Hendricks, M. Petrov, S. Ni, C. Renaut, H. Wolf, L. Isa, Y. Kivshar, R. Grange, Nano Lett. 17, 5381 (2017).

    Article  CAS  Google Scholar 

  51. F. Timpu, J. Sendra, C. Renaut, L. Lang, M. Timofeeva, M.T. Buscaglia, V. Buscaglia, R. Grange, ACS Photonics 6, 545 (2019).

    Article  CAS  Google Scholar 

  52. L. Carletti, C. Li, J. Sautter, I. Staude, C. De Angelis, T. Li, D.N. Neshev, Opt. Express 27, 3339127 (2019).

    Google Scholar 

  53. A. Fedotova, M. Younesi, J. Sautter, M. Steinert, R. Geiss, T. Pertsch, I. Staude, F. Setzpfandt, “Second-Harmonic Generation in Lithium Niobate Metasurfaces,” in 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, OSA Technical Digest (Optical Society of America, Washington, DC, 2019), paper ef_1_2.

  54. C.R. Ma, J.H. Yan, Y.M. Wei, G.W. Yang, Nanotechnology 27, 425206 (2016).

    Article  CAS  Google Scholar 

  55. J. Cambiasso, G. Grinblat, Y. Li, A. Rakovich, E. Cortes, S.A. Maier, Nano Lett. 17, 1219 (2017).

    Article  CAS  Google Scholar 

  56. S.V. Makarov, M.I. Petrov, U. Zywietz, V. Milichko, D. Zuev, N. Lopanitsyna, A. Kuksin, I. Mukhin, G. Zograf, E. Ubyivovk, D.A. Smirnova, S. Starikov, B.N. Chichkov, Y.S. Kivshar, Nano Lett. 17, 3047 (2017).

    Article  CAS  Google Scholar 

  57. J. Bar-David, U. Levy, Nano Lett. 19 (2), 1044 (2019).

    Article  CAS  Google Scholar 

  58. M.R. Shcherbakov, D.N. Neshev, B. Hopkins, A.S. Shorokhov, I. Staude, E.V. Melik-Gaykazyan, M. Decker, A.A. Ezhov, A.E. Miroshnichenko, I. Brener, A.A. Fedyanin, Y.S. Kivshar, Nano Lett. 14, 6488 (2014).

    Article  CAS  Google Scholar 

  59. G. Grinblat, Y. Li, M.P. Nielsen, R.F. Oulton, S.A. Maier, Nano Lett. 16, 4635 (2016).

    Article  CAS  Google Scholar 

  60. E.V. Melik-Gaykazyan, M.R. Shcherbakov, A.S. Shorokhov, I. Staude, I. Brener, D.N. Neshev, Y.S. Kivshar, A.A. Fedyanin, Philos. Trans. R. Soc. A 375, 20160281 (2017).

    Article  CAS  Google Scholar 

  61. T. Shibanuma, G. Grinblat, P. Albella, S.A. Maier, Nano Lett. 17, 2647 (2017).

    Article  CAS  Google Scholar 

  62. Y. Yang, W. Wang, A. Boulesbaa, I.I. Kravchenko, D.P. Briggs, A. Puretzky, D. Geohegan, J. Valentine, Nano Lett. 15, 7388 (2015).

    Article  CAS  Google Scholar 

  63. W. Tong, C. Gong, X. Liu, S. Yuan, Q. Huang, J. Xia, Y. Wang, Opt. Express 24, 19661 (2016).

    Article  Google Scholar 

  64. S.V. Makarov, A.N. Tsypkin, T.A. Voytova, V.A. Milichko, I.S. Mukhin, A.V. Yulin, S.E. Putilin, M.A. Baranov, A.E. Krasnok, I.A. Morozov, P.A. Belov, Nanoscale 8, 17809 (2016).

    Article  CAS  Google Scholar 

  65. S. Chen, M. Rahmani, K.F. Li, A. Miroshnichenko, T. Zentgraf, G. Li, D. Neshev, S. Zhang, ACS Photonics 5, 1671 (2018).

    Article  CAS  Google Scholar 

  66. D. Smirnova, S. Kruk, D. Leykam, E. Melik-Gaykazyan, D.-Y. Choi, Y. Kivshar, Phys. Rev. Lett. 123, 103901 (2019).

    Article  CAS  Google Scholar 

  67. M.R. Shcherbakov, A.S. Shorokhov, D.N. Neshev, B. Hopkins, I. Staude, E.V. Melik-Gaykazyan, A.A. Ezhov, A.E. Miroshnichenko, I. Brener, A.A. Fedyanin, Y.S. Kivshar, ACS Photonics 2, 578 (2015).

    Article  CAS  Google Scholar 

  68. A.S. Shorokhov, E.V. Melik-Gaykazyan, D.A. Smirnova, B. Hopkins, K.E. Chong, D.Y. Choi, M.R. Shcherbakov, A.E. Miroshnichenko, D.N. Neshev, A.A. Fedyanin, Y.S. Kivshar, Nano Lett. 16, 4857 (2016).

    Article  CAS  Google Scholar 

  69. M.K. Kroychuk, D.F. Yagudin, A.S. Shorokhov, D.A. Smirnova, I.I. Volkovskaya, M.R. Shcherbakov, G. Shvets, Y.S. Kivshar, A.A. Fedyanin, Adv. Opt. Mater. 7, 1900447 (2019).

    Article  CAS  Google Scholar 

  70. G. Vampa, H. Fattahi, J. Vuckovic, F. Krausz, Nat. Photonics 11, 210 (2017).

    Article  CAS  Google Scholar 

  71. G. Ndabashimiye, S. Ghimire, M. Wu, D.A. Browne, K.J. Schafer, M.B. Gaarde, D.A. Reis, Nature 534, 520 (2016).

    Article  CAS  Google Scholar 

  72. H. Liu, C. Guo, G. Vampa, J.L. Zhang, T. Sarmiento, M. Xiao, P.H. Bucksbaum, J. Vučkovic, S. Fan, D.A. Reis, Nat. Phys. 14, 1006 (2018).

    Article  CAS  Google Scholar 

  73. M. Mesch, B. Metzger, M. Hentschel, H. Giessen, Nano Lett. 16, 3155 (2016).

    Article  CAS  Google Scholar 

  74. Y. Gao, Y. Fan, Y. Wang, W. Yang, Q. Song, S. Xiao, Nano Lett. 18 (12), 8054 (2018).

    Article  CAS  Google Scholar 

  75. B. Reineke, B. Sain, R. Zhao, L. Carletti, B. Liu, L. Huang, C. De Angelis, T. Zentgraf, Nano Lett. 19, 6585 (2019).

    Article  CAS  Google Scholar 

  76. P. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois, J. Opt. Soc. Am. A 16, 1143 (1999).

    Article  Google Scholar 

  77. C. Schlickriede, N. Waterman, B. Reineke, P. Georgi, G. Li, S. Zhang, T. Zentgraf, Adv. Mat. 30, 1703843 (2018).

    Article  CAS  Google Scholar 

  78. M.R. Shcherbakov, P.P. Vabishchevich, A.S. Shorokhov, K.E. Chong, D.Y. Choi, I. Staude, A.E. Miroshnichenko, D.N. Neshev, A.A. Fedyanin, Y.S. Kivshar, Nano Lett. 15, 6985 (2015).

    Article  CAS  Google Scholar 

  79. M.R. Shcherbakov, S. Liu, V.V. Zubyuk, A. Vaskin, P.P. Vabishchevich, G. Keeler, T. Pertsch, T.V. Dolgova, I. Staude, I. Brener, A.A. Fedyanin, Nat. Commun. 8, 17 (2017).

    Article  CAS  Google Scholar 

  80. Y. Xu, J. Sun, J. Frantz, M.I. Shalaev, W. Walasik, A. Pandey, J.D. Myers, R.Y Bekele, A. Tsukernik, J.S. Sanghera, N.M. Litchinitser, Opt. Express 26, 30930 (2018).

    Article  CAS  Google Scholar 

  81. V.V. Zubyuk, P.P. Vabishchevich, M.R. Shcherbakov, A.S. Shorokhov, A.N. Fedotova, S. Liu, G. Keeler, T.V. Dolgova, I. Staude, I. Brener, A.A. Fedyanin, ACS Photonics 6, 2797 (2019).

    Article  CAS  Google Scholar 

  82. Q. Yuan, L. Fang, H. Fang, J. Li, T. Wang, W. Jie, J. Zhao, X. Gan, ACS Photonics 6, 2252 (2019).

    Article  CAS  Google Scholar 

  83. A. Dasgupta, J. Gao, X. Yang, Nano Lett. 19, 6511 (2019).

    Article  CAS  Google Scholar 

  84. F.J.F Löchner, R. Mupparapu, M. Steinert, A. George, Z. Tang, A. Turchanin, T. Pertsch, I. Staude, F. Setzpfandt, Opt. Express 27, 35475 (2019).

    Article  Google Scholar 

  85. K. Wang, J.G. Titchener, S.S. Kruk, L. Xu, H.-P Chung, M. Parry, I.I. Kravchenko, Y.-H. Chen, A.S. Solntsev, Y.S. Kivshar, D.N. Neshev, A.A. Sukhorukov, Science 361, 1104 (2018).

    Article  CAS  Google Scholar 

  86. G. Marino, A.S. Solntsev, L. Xu, V.F. Gili, L. Carletti, A.N. Poddubny, M. Rahmani, D.A. Smirnova, H. Chen, A. Lemaître, G. Zhang, A.V Zayats, C. De Angelis, G. Leo, A.A. Sukhorukov, D.N. Neshev, Optica 6, 1416 (2019).

    Article  CAS  Google Scholar 

  87. C.C. Nadell, B. Huang, J.M. Malof, W.J. Padilla, Opt. Express 27, 27523 (2019).

    Article  CAS  Google Scholar 

  88. J. Jiang, J.A. Fan, Nano Lett. 19, 5366 (2019).

    Article  CAS  Google Scholar 

  89. A.S. Berestennikov, P.M. Voroshilov, S.V. Makarov, Y.S. Kivshar, Appl. Phys. Rev. 6, 031307 (2019).

    Article  CAS  Google Scholar 

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Acknowledgments

The authors acknowledge useful collaborations and discussions with many colleagues and students. T.P. acknowledges support by the German Federal Ministry of Education and Research (Project IDs 03ZZ0451, 13N14147), the German Research Foundation (Project-ID 398816777—SFB 1375, PE 1524/10-2), and the German Academic Exchange Service (ID 57388353). Y.K. was supported by the Humboldt Foundation, the Australian Research Council (Grant No. DP 200101168), and the Strategic Fund of the Australian National University.

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Pertsch, T., Kivshar, Y. Nonlinear optics with resonant metasurfaces. MRS Bulletin 45, 210–220 (2020). https://doi.org/10.1557/mrs.2020.65

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