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Title: Multipolar second harmonic generation in a symmetric nonlinear metamaterial

Abstract

Optical nonlinearities are intimately related to the spatial symmetry of the nonlinear media. For example, the second order susceptibility vanishes for centrosymmetric materials under the dipole approximation. The latter concept has been naturally extended to the metamaterials’ realm, sometimes leading to the (erroneous) hypothesis that second harmonic (SH) generation is negligible in highly symmetric meta-atoms. In this work we aim to show that such symmetric meta-atoms can radiate SH light efficiently. In particular, we investigate in-plane centrosymmetric meta-atom designs where the approximation for meta-atoms breaks down. In a periodic array this building block allows us to control the directionality of the SH radiation. We conclude by showing that the use of symmetry considerations alone allows for the manipulation of the nonlinear multipolar response of a meta-atom, resulting in e.g. dipolar, quadrupolar, or multipolar emission on demand. This is because the size of the meta-atom is comparable with the free-space wavelength, thus invalidating the dipolar approximation for meta-atoms.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Laboratories, null
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1399507
Report Number(s):
SAND-2017-6705J
Journal ID: ISSN 2045-2322; PII: 8039
Grant/Contract Number:
AC04-94AL85000
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Wolf, Omri, Campione, Salvatore, Yang, Yuanmu, and Brener, Igal. Multipolar second harmonic generation in a symmetric nonlinear metamaterial. United States: N. p., 2017. Web. doi:10.1038/s41598-017-08039-1.
Wolf, Omri, Campione, Salvatore, Yang, Yuanmu, & Brener, Igal. Multipolar second harmonic generation in a symmetric nonlinear metamaterial. United States. doi:10.1038/s41598-017-08039-1.
Wolf, Omri, Campione, Salvatore, Yang, Yuanmu, and Brener, Igal. Mon . "Multipolar second harmonic generation in a symmetric nonlinear metamaterial". United States. doi:10.1038/s41598-017-08039-1. https://www.osti.gov/servlets/purl/1399507.
@article{osti_1399507,
title = {Multipolar second harmonic generation in a symmetric nonlinear metamaterial},
author = {Wolf, Omri and Campione, Salvatore and Yang, Yuanmu and Brener, Igal},
abstractNote = {Optical nonlinearities are intimately related to the spatial symmetry of the nonlinear media. For example, the second order susceptibility vanishes for centrosymmetric materials under the dipole approximation. The latter concept has been naturally extended to the metamaterials’ realm, sometimes leading to the (erroneous) hypothesis that second harmonic (SH) generation is negligible in highly symmetric meta-atoms. In this work we aim to show that such symmetric meta-atoms can radiate SH light efficiently. In particular, we investigate in-plane centrosymmetric meta-atom designs where the approximation for meta-atoms breaks down. In a periodic array this building block allows us to control the directionality of the SH radiation. We conclude by showing that the use of symmetry considerations alone allows for the manipulation of the nonlinear multipolar response of a meta-atom, resulting in e.g. dipolar, quadrupolar, or multipolar emission on demand. This is because the size of the meta-atom is comparable with the free-space wavelength, thus invalidating the dipolar approximation for meta-atoms.},
doi = {10.1038/s41598-017-08039-1},
journal = {Scientific Reports},
number = 1,
volume = 7,
place = {United States},
year = {Mon Aug 14 00:00:00 EDT 2017},
month = {Mon Aug 14 00:00:00 EDT 2017}
}

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