Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus

In this work, studies of the optical constants of monolayer transition metal dichalcogenides and few-layer black phosphorus are briefly reviewed, with particular emphasis on the complex dielectric function and refractive index. Specifically, an estimate of the complex index of refraction of phosphor...

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Main Authors: Aaron M. Ross, Giuseppe M. Paternò, Stefano Dal Conte, Francesco Scotognella, Eugenio Cinquanta
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/24/5736
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author Aaron M. Ross
Giuseppe M. Paternò
Stefano Dal Conte
Francesco Scotognella
Eugenio Cinquanta
author_facet Aaron M. Ross
Giuseppe M. Paternò
Stefano Dal Conte
Francesco Scotognella
Eugenio Cinquanta
author_sort Aaron M. Ross
collection DOAJ
description In this work, studies of the optical constants of monolayer transition metal dichalcogenides and few-layer black phosphorus are briefly reviewed, with particular emphasis on the complex dielectric function and refractive index. Specifically, an estimate of the complex index of refraction of phosphorene and few-layer black phosphorus is given. The complex index of refraction of this material was extracted from differential reflectance data reported in the literature by employing a constrained Kramers–Kronig analysis combined with the transfer matrix method. The reflectance contrast of 1–3 layers of black phosphorus on a silicon dioxide/silicon substrate was then calculated using the extracted complex indices of refraction.
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spelling doaj.art-9141fe61f27e4da684f5cd725f8b86c12023-11-21T01:02:19ZengMDPI AGMaterials1996-19442020-12-011324573610.3390/ma13245736Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black PhosphorusAaron M. Ross0Giuseppe M. Paternò1Stefano Dal Conte2Francesco Scotognella3Eugenio Cinquanta4Dipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyCenter for Nano Science and Technology@PoliMi, Istituto Italiano di Tecnologia (IIT), Via Giovanni Pascoli, 70/3, 20133 Milan, ItalyDipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyDipartimento di Fisica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyIstituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche, 20133 Milan, ItalyIn this work, studies of the optical constants of monolayer transition metal dichalcogenides and few-layer black phosphorus are briefly reviewed, with particular emphasis on the complex dielectric function and refractive index. Specifically, an estimate of the complex index of refraction of phosphorene and few-layer black phosphorus is given. The complex index of refraction of this material was extracted from differential reflectance data reported in the literature by employing a constrained Kramers–Kronig analysis combined with the transfer matrix method. The reflectance contrast of 1–3 layers of black phosphorus on a silicon dioxide/silicon substrate was then calculated using the extracted complex indices of refraction.https://www.mdpi.com/1996-1944/13/24/5736transition metal dichalcogenidesblack phosphorustwo-dimensional materialscomplex refractive indexKramers–Kronig analysis
spellingShingle Aaron M. Ross
Giuseppe M. Paternò
Stefano Dal Conte
Francesco Scotognella
Eugenio Cinquanta
Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
Materials
transition metal dichalcogenides
black phosphorus
two-dimensional materials
complex refractive index
Kramers–Kronig analysis
title Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
title_full Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
title_fullStr Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
title_full_unstemmed Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
title_short Anisotropic Complex Refractive Indices of Atomically Thin Materials: Determination of the Optical Constants of Few-Layer Black Phosphorus
title_sort anisotropic complex refractive indices of atomically thin materials determination of the optical constants of few layer black phosphorus
topic transition metal dichalcogenides
black phosphorus
two-dimensional materials
complex refractive index
Kramers–Kronig analysis
url https://www.mdpi.com/1996-1944/13/24/5736
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