Toy model of harmonic and sum frequency generation in 2D dielectric nanostructures
Toy model of harmonic and sum frequency generation in 2D dielectric nanostructures
Optical nonlinearities of matter are often associated with the response of individual atoms. Here, using a toy oscillator model, we show that in the confined geometry of a two-dimensional dielectric nanoparticle a collective nonlinear response of the atomic array can arise from the Coulomb interactions of the bound optical electrons, even if the individual atoms exhibit no nonlinearity. We determine the multipole contributions to the nonlinear response of nanoparticles and demonstrate that the odd order and even order nonlinear electric dipole moments scale with the area and perimeter of the nanoparticle, respectively.
Coulomb force, Lorentz oscillator, harmonic generation and mixing, nanoparticles, nonlinear optics
Xu, Jie
9221b478-b998-445a-8719-67f535043748
Savinov, Vassili
147c7954-4636-4438-a305-cd78539f7c0a
Plum, Eric
50761a26-2982-40df-9153-7aecc4226eb5
11 October 2021
Xu, Jie
9221b478-b998-445a-8719-67f535043748
Savinov, Vassili
147c7954-4636-4438-a305-cd78539f7c0a
Plum, Eric
50761a26-2982-40df-9153-7aecc4226eb5
Xu, Jie, Savinov, Vassili and Plum, Eric
(2021)
Toy model of harmonic and sum frequency generation in 2D dielectric nanostructures.
Scientific Reports, 11 (1), [20120].
(doi:10.1038/s41598-021-99567-4).
Abstract
Optical nonlinearities of matter are often associated with the response of individual atoms. Here, using a toy oscillator model, we show that in the confined geometry of a two-dimensional dielectric nanoparticle a collective nonlinear response of the atomic array can arise from the Coulomb interactions of the bound optical electrons, even if the individual atoms exhibit no nonlinearity. We determine the multipole contributions to the nonlinear response of nanoparticles and demonstrate that the odd order and even order nonlinear electric dipole moments scale with the area and perimeter of the nanoparticle, respectively.
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Harmonic and sum frequency generation - accepted version
- Accepted Manuscript
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harmonic and sum frequency generation - supplement - accepted version
- Accepted Manuscript
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Harmonic and sum frequency generation - version of record
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More information
Accepted/In Press date: 27 September 2021
Published date: 11 October 2021
Additional Information:
Funding Information:
The authors thank Nikolay Zheludev for helpful advice. This work is supported by the UK’s Engineering and Physical Sciences Research Council (Grants EP/M009122/1 and EP/T02643X/1), and the China Scholarship Council (CSC No.201706310145).
Publisher Copyright:
© 2021, The Author(s).
Keywords:
Coulomb force, Lorentz oscillator, harmonic generation and mixing, nanoparticles, nonlinear optics
Identifiers
Local EPrints ID: 453085
URI: http://eprints.soton.ac.uk/id/eprint/453085
ISSN: 2045-2322
PURE UUID: 15a3af39-ff46-451e-ba6d-6f738fe0a060
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Date deposited: 07 Jan 2022 17:52
Last modified: 17 Mar 2024 06:51
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Author:
Jie Xu
Author:
Vassili Savinov
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