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, somet...

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Autores principales:	Omri Wolf, Salvatore Campione, Yuanmu Yang, Igal Brener
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/79d6de8e103b4376b4ed56489631e05a
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id	oai:doaj.org-article:79d6de8e103b4376b4ed56489631e05a
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spelling	oai:doaj.org-article:79d6de8e103b4376b4ed56489631e05a2021-12-02T16:06:02ZMultipolar second harmonic generation in a symmetric nonlinear metamaterial10.1038/s41598-017-08039-12045-2322https://doaj.org/article/79d6de8e103b4376b4ed56489631e05a2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-08039-1https://doaj.org/toc/2045-2322Abstract 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.Omri WolfSalvatore CampioneYuanmu YangIgal BrenerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Omri Wolf Salvatore Campione Yuanmu Yang Igal Brener Multipolar second harmonic generation in a symmetric nonlinear metamaterial
description	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.
format	article
author	Omri Wolf Salvatore Campione Yuanmu Yang Igal Brener
author_facet	Omri Wolf Salvatore Campione Yuanmu Yang Igal Brener
author_sort	Omri Wolf
title	Multipolar second harmonic generation in a symmetric nonlinear metamaterial
title_short	Multipolar second harmonic generation in a symmetric nonlinear metamaterial
title_full	Multipolar second harmonic generation in a symmetric nonlinear metamaterial
title_fullStr	Multipolar second harmonic generation in a symmetric nonlinear metamaterial
title_full_unstemmed	Multipolar second harmonic generation in a symmetric nonlinear metamaterial
title_sort	multipolar second harmonic generation in a symmetric nonlinear metamaterial
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/79d6de8e103b4376b4ed56489631e05a
work_keys_str_mv	AT omriwolf multipolarsecondharmonicgenerationinasymmetricnonlinearmetamaterial AT salvatorecampione multipolarsecondharmonicgenerationinasymmetricnonlinearmetamaterial AT yuanmuyang multipolarsecondharmonicgenerationinasymmetricnonlinearmetamaterial AT igalbrener multipolarsecondharmonicgenerationinasymmetricnonlinearmetamaterial
_version_	1718385156526440448

Multipolar second harmonic generation in a symmetric nonlinear metamaterial

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