Nonlocal homogenization for nonlinear metamaterials

Gorlach, MA; Voytova, TA; Lapine, M; Kivshar, YS; Belov, PA

Nonlocal homogenization for nonlinear metamaterials

Gorlach, MA

Voytova, TA Lapine, M

Kivshar, YS Belov, PA

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Publication Type:: Journal Article
Citation:: Physical Review B, 2016, 93 (16)
Issue Date:: 2016-04-19

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Field	Value	Language
dc.contributor.author	Gorlach, MA https://orcid.org/0000-0002-7880-8953	en_US
dc.contributor.author	Voytova, TA	en_US
dc.contributor.author	Lapine, M https://orcid.org/0000-0002-3557-929X	en_US
dc.contributor.author	Kivshar, YS	en_US
dc.contributor.author	Belov, PA	en_US
dc.date.issued	2016-04-19	en_US
dc.identifier.citation	Physical Review B, 2016, 93 (16)	en_US
dc.identifier.issn	2469-9950	en_US
dc.identifier.uri	http://hdl.handle.net/10453/43936
dc.description.abstract	©2016 American Physical Society. We present a consistent theoretical approach for calculating effective nonlinear susceptibilities of metamaterials taking into account both frequency and spatial dispersion. Employing the discrete dipole model, we demonstrate that effects of spatial dispersion become especially pronounced in the vicinity of effective permittivity resonance where nonlinear susceptibilities reach their maxima. In that case spatial dispersion may enable simultaneous generation of two harmonic signals with the same frequency and polarization but different wave vectors. We also prove that the derived expressions for nonlinear susceptibilities transform into the known form when spatial dispersion effects are negligible. In addition to revealing new physical phenomena, our results provide useful theoretical tools for analyzing resonant nonlinear metamaterials.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP150103611
dc.relation.ispartof	Physical Review B	en_US
dc.relation.isbasedon	10.1103/PhysRevB.93.165125	en_US
dc.title	Nonlocal homogenization for nonlinear metamaterials	en_US
dc.type	Journal Article
utslib.citation.volume	16	en_US
utslib.citation.volume	93	en_US
utslib.for	0912 Materials Engineering	en_US
utslib.for	0204 Condensed Matter Physics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	16	en_US
pubs.publication-status	Published	en_US
pubs.volume	93	en_US

Abstract:

©2016 American Physical Society. We present a consistent theoretical approach for calculating effective nonlinear susceptibilities of metamaterials taking into account both frequency and spatial dispersion. Employing the discrete dipole model, we demonstrate that effects of spatial dispersion become especially pronounced in the vicinity of effective permittivity resonance where nonlinear susceptibilities reach their maxima. In that case spatial dispersion may enable simultaneous generation of two harmonic signals with the same frequency and polarization but different wave vectors. We also prove that the derived expressions for nonlinear susceptibilities transform into the known form when spatial dispersion effects are negligible. In addition to revealing new physical phenomena, our results provide useful theoretical tools for analyzing resonant nonlinear metamaterials.

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http://hdl.handle.net/10453/43936