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Homogenized description and retrieval method of nonlinear metasurfaces

Publication ,  Journal Article
Liu, X; Larouche, S; Smith, DR
Published in: Optics Communications
March 1, 2018

A patterned, plasmonic metasurface can strongly scatter incident light, functioning as an extremely low-profile lens, filter, reflector or other optical device. When the metasurface is patterned uniformly, its linear optical properties can be expressed using effective surface electric and magnetic polarizabilities obtained through a homogenization procedure. The homogenized description of a nonlinear metasurface, however, presents challenges both because of the inherent anisotropy of the medium as well as the much larger set of potential wave interactions available, making it challenging to assign effective nonlinear parameters to the otherwise inhomogeneous layer of metamaterial elements. Here we show that a homogenization procedure can be developed to describe nonlinear metasurfaces, which derive their nonlinear response from the enhanced local fields arising within the structured plasmonic elements. With the proposed homogenization procedure, we are able to assign effective nonlinear surface polarization densities to a nonlinear metasurface, and link these densities to the effective nonlinear surface susceptibilities and averaged macroscopic pumping fields across the metasurface. These effective nonlinear surface polarization densities are further linked to macroscopic nonlinear fields through the generalized sheet transition conditions (GSTCs). By inverting the GSTCs, the effective nonlinear surface susceptibilities of the metasurfaces can be solved for, leading to a generalized retrieval method for nonlinear metasurfaces. The application of the homogenization procedure and the GSTCs are demonstrated by retrieving the nonlinear susceptibilities of a SiO2 nonlinear slab. As an example, we investigate a nonlinear metasurface which presents nonlinear magnetoelectric coupling in near infrared regime. The method is expected to apply to any patterned metasurface whose thickness is much smaller than the wavelengths of operation, with inclusions of arbitrary geometry and material composition, across the electromagnetic spectrum.

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Published In

Optics Communications

DOI

ISSN

0030-4018

Publication Date

March 1, 2018

Volume

410

Start / End Page

53 / 69

Related Subject Headings

  • Optoelectronics & Photonics
  • 5108 Quantum physics
  • 5102 Atomic, molecular and optical physics
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

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Liu, X., Larouche, S., & Smith, D. R. (2018). Homogenized description and retrieval method of nonlinear metasurfaces. Optics Communications, 410, 53–69. https://doi.org/10.1016/j.optcom.2017.09.048
Liu, X., S. Larouche, and D. R. Smith. “Homogenized description and retrieval method of nonlinear metasurfaces.” Optics Communications 410 (March 1, 2018): 53–69. https://doi.org/10.1016/j.optcom.2017.09.048.
Liu X, Larouche S, Smith DR. Homogenized description and retrieval method of nonlinear metasurfaces. Optics Communications. 2018 Mar 1;410:53–69.
Liu, X., et al. “Homogenized description and retrieval method of nonlinear metasurfaces.” Optics Communications, vol. 410, Mar. 2018, pp. 53–69. Scopus, doi:10.1016/j.optcom.2017.09.048.
Liu X, Larouche S, Smith DR. Homogenized description and retrieval method of nonlinear metasurfaces. Optics Communications. 2018 Mar 1;410:53–69.
Journal cover image

Published In

Optics Communications

DOI

ISSN

0030-4018

Publication Date

March 1, 2018

Volume

410

Start / End Page

53 / 69

Related Subject Headings

  • Optoelectronics & Photonics
  • 5108 Quantum physics
  • 5102 Atomic, molecular and optical physics
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics