Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene

Abstract We present a comprehensive analysis of the optical attributes of graphene sheets with charge carriers residing on a curved substrate. In particular, we focus on the fascinating case of Beltrami geometry and provide an explicit parametrization for this curved two-dimensional surface. By empl...

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Main Authors: K. Hasanirokh, A. Naifar
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-85303-9
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author K. Hasanirokh
A. Naifar
author_facet K. Hasanirokh
A. Naifar
author_sort K. Hasanirokh
collection DOAJ
description Abstract We present a comprehensive analysis of the optical attributes of graphene sheets with charge carriers residing on a curved substrate. In particular, we focus on the fascinating case of Beltrami geometry and provide an explicit parametrization for this curved two-dimensional surface. By employing the massless Dirac description that is characteristic of graphene, we investigate the impact of the curved geometry on the optical properties within the sample. Our findings reveal that the optical properties of the system are highly sensitive to several key factors, namely the Beltrami radius, surface radius, chemical potential and relaxation time. The numerical findings demonstrate that the optical characteristics of Beltrami-shaped graphene differ significantly from those of regular graphene due to the curved geometry. This distinction opens up exciting possibilities for exploring new optical phenomena and designing graphene-based devices with customized optical properties.
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spelling doaj-art-6645b1a24cdc40c3b6da90b66a0c3dc32025-01-12T12:23:43ZengNature PortfolioScientific Reports2045-23222025-01-0115111410.1038/s41598-025-85303-9Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved grapheneK. Hasanirokh0A. Naifar1Research Institute for Applied Physics & Astronomy, University of TabrizPreparatory Institute for Engineering Studies of Kairouan, (I.P.E.I.K) University of KairouanAbstract We present a comprehensive analysis of the optical attributes of graphene sheets with charge carriers residing on a curved substrate. In particular, we focus on the fascinating case of Beltrami geometry and provide an explicit parametrization for this curved two-dimensional surface. By employing the massless Dirac description that is characteristic of graphene, we investigate the impact of the curved geometry on the optical properties within the sample. Our findings reveal that the optical properties of the system are highly sensitive to several key factors, namely the Beltrami radius, surface radius, chemical potential and relaxation time. The numerical findings demonstrate that the optical characteristics of Beltrami-shaped graphene differ significantly from those of regular graphene due to the curved geometry. This distinction opens up exciting possibilities for exploring new optical phenomena and designing graphene-based devices with customized optical properties.https://doi.org/10.1038/s41598-025-85303-9Graphen sheetBeltrami geometryOptical properties and future graphene-based instruments
spellingShingle K. Hasanirokh
A. Naifar
Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
Scientific Reports
Graphen sheet
Beltrami geometry
Optical properties and future graphene-based instruments
title Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
title_full Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
title_fullStr Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
title_full_unstemmed Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
title_short Quantitative analysis on the optical kerr impact and third harmonic generation in beltrami-shaped curved graphene
title_sort quantitative analysis on the optical kerr impact and third harmonic generation in beltrami shaped curved graphene
topic Graphen sheet
Beltrami geometry
Optical properties and future graphene-based instruments
url https://doi.org/10.1038/s41598-025-85303-9
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