@article{ff9a820617a84d33949550357d032623,
title = "Backward Phase-Matched Second-Harmonic Generation from Stacked Metasurfaces",
abstract = "We demonstrate phase-matched second-harmonic generation (SHG) from three-dimensional metamaterials consisting of stacked metasurfaces. To achieve phase matching, we utilize a novel mechanism based on phase engineering of the metasurfaces at the interacting wavelengths, facilitating phase-matched SHG in the unconventional backward direction. Stacking up to five metasurfaces,we obtain a phase-matched SHG signal, which scales superlinearly with the number of layers. Our results motivate further investigations to achieve higher conversion efficiencies also with more complex wave fronts.",
author = "Timo Stolt and Jeonghyun Kim and S{\'e}bastien H{\'e}ron and Anna Vesala and Younghwan Yang and Jungho Mun and Minkyung Kim and Huttunen, {Mikko J.} and Robert Czaplicki and Martti Kauranen and Junsuk Rho and Patrice Genevet",
note = "Funding Information: We acknowledge the support of the Academy of Finland (Grant No. 308596), the Flagship of Photonics Research and Innovation (PREIN) funded by the Academy of Finland (Grant No. 320165), the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 Research and Innovation Programme (Grant Agreements No. 639109 and No. 724881), the National Research Foundation (NRF) Grants (No. NRF-2019R1A2C3003129, No. CAMM-2019M3A6B3030637, No. NRF-2019R1A5A8080290, and No. NRF-2020K1A3A1A21024374) funded by the Ministry of Science and ICT of the Korean Government. Younghwan Yang acknowledges a fellowship from Hyundai Motor Chung Mong-Koo Foundation, and Minkyung Kim acknowledges the NRF Global Ph.D. fellowship (NRF-2017H1A2A1043204) funded by the Ministry of Education of the Korean government. Publisher Copyright: {\textcopyright} 2021 American Physical Society.",
year = "2021",
month = jan,
day = "22",
doi = "10.1103/PhysRevLett.126.033901",
language = "English",
volume = "126",
journal = "Physical Review Letters",
issn = "0031-9007",
number = "3",
}