Flat nonlinear optics: Metasurfaces for efficient frequency mixing

Nishant Nookala, Jongwon Lee, Yingnan Liu, Wells Bishop, Mykhailo Tymchenko, Juan Sebastian Gomez Diaz, Frederic Demmerle, Gerhard Boehm, Markus Christian Amann, Omri Wolf, Igal Brener, Andrea Alu, Mikhail A. Belkin

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Gradient metasurfaces, or ultrathin optical components with engineered transverse impedance gradients along the surface, are able to locally control the phase and amplitude of the scattered fields over subwavelength scales, enabling a broad range of linear components in a flat, integrable platform1-4. On the contrary, due to the weakness of their nonlinear optical responses, conventional nonlinear optical components are inherently bulky, with stringent requirements associated with phase matching and poor control over the phase and amplitude of the generated beam. Nonlinear metasurfaces have been recently proposed to enable frequency conversion in thin films without phase-matching constraints and subwavelength control of the local nonlinear phase5-8. However, the associated optical nonlinearities are far too small to produce significant nonlinear conversion efficiency and compete with conventional nonlinear components for pump intensities below the materials damage threshold. Here, we report multi-quantum-well based gradient nonlinear metasurfaces with second-order nonlinear susceptibility over 106 pm/V for second harmonic generation at a fundamental pump wavelength of 10 μm, 5-6 orders of magnitude larger than traditional crystals. Further, we demonstrate the efficacy of this approach to designing metasurfaces optimized for frequency conversion over a large range of wavelengths, by reporting multi-quantum-well and metasurface structures optimized for a pump wavelength of 6.7 μm. Finally, we demonstrate how the phase of this nonlinearly generated light can be locally controlled well below the diffraction limit using the Pancharatnam-Berry phase approach5,7,9, opening a new paradigm for ultrathin, flat nonlinear optical components.

Original languageEnglish (US)
Title of host publicationHigh Contrast Metastructures VI
EditorsWeimin Zhou, Fumio Koyama, Andrei Faraon, Connie J. Chang-Hasnain
ISBN (Electronic)9781510606678
StatePublished - Jan 1 2017
Externally publishedYes
EventHigh Contrast Metastructures VI - San Francisco, United States
Duration: Jan 31 2017Feb 2 2017


OtherHigh Contrast Metastructures VI
Country/TerritoryUnited States
CitySan Francisco


  • Intersubband transitions
  • Metamaterials
  • Plasmonics
  • Second harmonic generation
  • Semiconductor nonlinear optics including MQW

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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